Deck 2: Equations and Inequalities

ملء الشاشة (f)
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سؤال
The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 226 grams of a copper-silver alloy that is 13% copper by weight?

A)192.4 g of British sterling silver and 33.6 g of copper.
B)196.6 g of British sterling silver and 29.4 g of copper.
C)206.5 g of British sterling silver and 19.5 g of copper.
D)213.9 g of British sterling silver and 12.1 g of copper.
E)212.6 g of British sterling silver and 13.4 g of copper.
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,161.3 ft
B)1,438.0 ft
C)2,853.7 ft
D)1,046.3 ft
E)1,430.0 ft
سؤال
A student in an algebra course has test scores of 68, 79, 74, and 82. What score on the next test will raise the student's average to 80?

A)97
B)75
C)95
D)100
E)76
سؤال
The speed of the current in a stream is 3.3 mi/hr. It takes a canoeist 30 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.4 mi/hr
B)7.2 mi/hr
C)4.8 mi/hr
D)9.0 mi/hr
E)6.0 mi/hr
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
E)no solution
سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)1 C)- i D)- 1 E)i <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)1 C)- i D)- 1 E)i <div style=padding-top: 35px> , where a and b are real numbers.

A)1 + i
B)1
C)- i
D)- 1
E)i
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution <div style=padding-top: 35px>
C)All real numbers except -2
D)All real numbers except 2
E)No solution
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 12 years old whose IQ is 140.

A)14.8 years.
B)16.8 years.
C)19.8 years.
D)8.6 years.
E)18.8 years.
سؤال
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 84% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 84% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)0.736 sec B)5.887 sec C)37.964 sec D)1.472 sec E)1.619 sec <div style=padding-top: 35px>

A)0.736 sec
B)5.887 sec
C)37.964 sec
D)1.472 sec
E)1.619 sec
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $582.40.

A)33 ft
B)11 ft
C)30 ft
D)28 ft
E)48 ft
سؤال
Solve the formula for L. <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>

A) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
B) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
C) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
D) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
E)none of these
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 21.6.

A)145 points of IQ
B)142 points of IQ
C)125 points of IQ
D)135 points of IQ
E)74 points of IQ
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The speed of the current in a stream is 2.4 mi/hr. It takes a canoeist 60 minutes longer to paddle 1.7 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.7 mi/hr
B)4.9 mi/hr
C)2.4 mi/hr
D)3.1 mi/hr
E)6.3 mi/hr
سؤال
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,438.0 ft
B)2,853.7 ft
C)1,046.3 ft
D)1,430.0 ft
E)1,161.3 ft
سؤال
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.20 per ft 2 , determine the width of the garden that can be enclosed for $403.20.

A)14 ft
B)41 ft
C)79 ft
D)36 ft
E)40 ft
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 222 grams of a copper-silver alloy that is 15% copper by weight?

A)197.9 g of British sterling silver and 24.1 g of copper.
B)204.0 g of British sterling silver and 18.0 g of copper.
C)183.8 g of British sterling silver and 38.2 g of copper.
D)188.7 g of British sterling silver and 33.3 g of copper.
E)205.3 g of British sterling silver and 16.7 g of copper.
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 18 - year - old child whose mental age is 21.6.

A)110 points of IQ
B)127 points of IQ
C)130 points of IQ
D)120 points of IQ
E)83 points of IQ
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A student in an algebra course has test scores of 69, 79, 75, and 80. What score on the next test will raise the student's average to 80?

A)76
B)97
C)75
D)94
E)99
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>
C)All real numbers except -4
D)All real numbers except 4
E)No solution
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

A)27.2 years.
B)23.2 years.
C)25.2 years.
D)28.2 years.
E)12.9 years.
سؤال
The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $12,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)13 years
B)17 years
C)47 years
D)57 years
E)15 years
سؤال
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 92% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 92% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)29.462 sec B)11.238 sec C)49.947 sec D)6.243 sec E)12.487 sec <div style=padding-top: 35px>

A)29.462 sec
B)11.238 sec
C)49.947 sec
D)6.243 sec
E)12.487 sec
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
E)no solution
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the formula for K. <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>

A) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
B) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
C) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
D) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
E)none of these
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 20.

A)132 points of IQ
B)135 points of IQ
C)115 points of IQ
D)125 points of IQ
E)80 points of IQ
سؤال
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

A)154.5 g of British sterling silver and 2.5 g of copper.
B)148.4 g of British sterling silver and 8.6 g of copper.
C)142.9 g of British sterling silver and 14.1 g of copper.
D)134.3 g of British sterling silver and 22.7 g of copper.
E)155.8 g of British sterling silver and 1.2 g of copper.
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
E)no solution
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A student in an algebra course has test scores of 67, 80, 75, and 82. What score on the next test will raise the student's average to 80?

A)99
B)96
C)76
D)94
E)75
سؤال
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $852.60.

A)34 ft
B)33 ft
C)29 ft
D)64 ft
E)12 ft
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $11,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)27 years
B)9 years
C)8 years
D)17 years
E)37 years
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution <div style=padding-top: 35px>
C)All real numbers except -4
D)All real numbers except 4
E)No solution
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)- 1 C)- i D)1 E)i <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)- 1 C)- i D)1 E)i <div style=padding-top: 35px> , where a and b are real numbers.

A)1 + i
B)- 1
C)- i
D)1
E)i
سؤال
Solve the formula for L. <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>

A) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
B) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
C) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
D) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these <div style=padding-top: 35px>
E)none of these
سؤال
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

A)23.2 years.
B)12.9 years.
C)25.2 years.
D)28.2 years.
E)27.2 years.
سؤال
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,430.0 ft
B)1,046.3 ft
C)2,853.7 ft
D)1,438.0 ft
E)1,161.3 ft
سؤال
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 88% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 88% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)3.681 sec B)29.445 sec C)33.656 sec D)6.625 sec E)7.361 sec <div style=padding-top: 35px>

A)3.681 sec
B)29.445 sec
C)33.656 sec
D)6.625 sec
E)7.361 sec
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.3 mi/hr
B)6.3 mi/hr
C)7.1 mi/hr
D)2.2 mi/hr
E)4.2 mi/hr
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation by using the special quadratic equation. <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)i B)1 C)- i D)1 + i E)- 1 <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)i B)1 C)- i D)1 + i E)- 1 <div style=padding-top: 35px> , where a and b are real numbers.

A)i
B)1
C)- i
D)1 + i
E)- 1
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft 2 of glass is to be used, find the height h. <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px>

A) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
B) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
C) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
D) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
E) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
سؤال
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $450 per year. Car B costs $11,800 and has an mpg rating of 50, and insurance is $500 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)10 years
B)31 years
C)41 years
D)18 years
E)9 years
سؤال
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution <div style=padding-top: 35px>
E)no solution
سؤال
Solve the formula for <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 2: Equations and Inequalities
1
The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)

A) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
B) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
C) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
D) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
E) <strong>The boundary of a city is a circle of diameter L = 4 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 5-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
2
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
3
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
4
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 226 grams of a copper-silver alloy that is 13% copper by weight?

A)192.4 g of British sterling silver and 33.6 g of copper.
B)196.6 g of British sterling silver and 29.4 g of copper.
C)206.5 g of British sterling silver and 19.5 g of copper.
D)213.9 g of British sterling silver and 12.1 g of copper.
E)212.6 g of British sterling silver and 13.4 g of copper.
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5
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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6
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,161.3 ft
B)1,438.0 ft
C)2,853.7 ft
D)1,046.3 ft
E)1,430.0 ft
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7
A student in an algebra course has test scores of 68, 79, 74, and 82. What score on the next test will raise the student's average to 80?

A)97
B)75
C)95
D)100
E)76
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8
The speed of the current in a stream is 3.3 mi/hr. It takes a canoeist 30 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.4 mi/hr
B)7.2 mi/hr
C)4.8 mi/hr
D)9.0 mi/hr
E)6.0 mi/hr
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9
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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10
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
E)no solution
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11
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)1 C)- i D)- 1 E)i in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)1 C)- i D)- 1 E)i , where a and b are real numbers.

A)1 + i
B)1
C)- i
D)- 1
E)i
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12
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -2 D)All real numbers except 2 E)No solution
C)All real numbers except -2
D)All real numbers except 2
E)No solution
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13
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 12 years old whose IQ is 140.

A)14.8 years.
B)16.8 years.
C)19.8 years.
D)8.6 years.
E)18.8 years.
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14
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 84% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 84% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)0.736 sec B)5.887 sec C)37.964 sec D)1.472 sec E)1.619 sec

A)0.736 sec
B)5.887 sec
C)37.964 sec
D)1.472 sec
E)1.619 sec
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15
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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16
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $582.40.

A)33 ft
B)11 ft
C)30 ft
D)28 ft
E)48 ft
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17
Solve the formula for L. <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these

A) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
B) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
C) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
D) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
E)none of these
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18
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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19
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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20
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 21.6.

A)145 points of IQ
B)142 points of IQ
C)125 points of IQ
D)135 points of IQ
E)74 points of IQ
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21
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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22
The speed of the current in a stream is 2.4 mi/hr. It takes a canoeist 60 minutes longer to paddle 1.7 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.7 mi/hr
B)4.9 mi/hr
C)2.4 mi/hr
D)3.1 mi/hr
E)6.3 mi/hr
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23
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,438.0 ft
B)2,853.7 ft
C)1,046.3 ft
D)1,430.0 ft
E)1,161.3 ft
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24
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.20 per ft 2 , determine the width of the garden that can be enclosed for $403.20.

A)14 ft
B)41 ft
C)79 ft
D)36 ft
E)40 ft
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25
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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26
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 222 grams of a copper-silver alloy that is 15% copper by weight?

A)197.9 g of British sterling silver and 24.1 g of copper.
B)204.0 g of British sterling silver and 18.0 g of copper.
C)183.8 g of British sterling silver and 38.2 g of copper.
D)188.7 g of British sterling silver and 33.3 g of copper.
E)205.3 g of British sterling silver and 16.7 g of copper.
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27
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 18 - year - old child whose mental age is 21.6.

A)110 points of IQ
B)127 points of IQ
C)130 points of IQ
D)120 points of IQ
E)83 points of IQ
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28
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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29
A student in an algebra course has test scores of 69, 79, 75, and 80. What score on the next test will raise the student's average to 80?

A)76
B)97
C)75
D)94
E)99
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30
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution
C)All real numbers except -4
D)All real numbers except 4
E)No solution
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31
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

A)27.2 years.
B)23.2 years.
C)25.2 years.
D)28.2 years.
E)12.9 years.
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32
The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)

A) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
B) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
C) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
D) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
E) <strong>The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
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33
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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34
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $12,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)13 years
B)17 years
C)47 years
D)57 years
E)15 years
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35
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 92% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 92% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)29.462 sec B)11.238 sec C)49.947 sec D)6.243 sec E)12.487 sec

A)29.462 sec
B)11.238 sec
C)49.947 sec
D)6.243 sec
E)12.487 sec
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36
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
E)no solution
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37
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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38
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
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39
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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40
Solve the formula for K. <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these

A) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these
B) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these
C) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these
D) <strong>Solve the formula for K.  </strong> A)   B)   C)   D)   E)none of these
E)none of these
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41
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 20.

A)132 points of IQ
B)135 points of IQ
C)115 points of IQ
D)125 points of IQ
E)80 points of IQ
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42
British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

A)154.5 g of British sterling silver and 2.5 g of copper.
B)148.4 g of British sterling silver and 8.6 g of copper.
C)142.9 g of British sterling silver and 14.1 g of copper.
D)134.3 g of British sterling silver and 22.7 g of copper.
E)155.8 g of British sterling silver and 1.2 g of copper.
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43
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)no solution
E)no solution
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44
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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45
A student in an algebra course has test scores of 67, 80, 75, and 82. What score on the next test will raise the student's average to 80?

A)99
B)96
C)76
D)94
E)75
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46
A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $852.60.

A)34 ft
B)33 ft
C)29 ft
D)64 ft
E)12 ft
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47
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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48
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $11,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)27 years
B)9 years
C)8 years
D)17 years
E)37 years
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49
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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50
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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51
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution

A) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution
B) <strong>Solve the equation.  </strong> A)   B)   C)All real numbers except -4 D)All real numbers except 4 E)No solution
C)All real numbers except -4
D)All real numbers except 4
E)No solution
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52
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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53
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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54
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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55
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)- 1 C)- i D)1 E)i in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)1 + i B)- 1 C)- i D)1 E)i , where a and b are real numbers.

A)1 + i
B)- 1
C)- i
D)1
E)i
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56
Solve the formula for L. <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these

A) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
B) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
C) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
D) <strong>Solve the formula for L.  </strong> A)   B)   C)   D)   E)none of these
E)none of these
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57
A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

A)23.2 years.
B)12.9 years.
C)25.2 years.
D)28.2 years.
E)27.2 years.
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58
A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

A)1,430.0 ft
B)1,046.3 ft
C)2,853.7 ft
D)1,438.0 ft
E)1,161.3 ft
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59
Solve the equation by factoring. <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by factoring.  </strong> A)   B)   C)   D)   E)
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60
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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61
During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not o K.) Approximate t when V is 88% of V 0 . Round the answer to the nearest thousandth of a second. <strong>During a nuclear explosion, a fireball will be produced having a maximum volume V<sub> 0 </sub>. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not <sup> o </sup>K.) Approximate t when V is 88% of V<sub> 0 </sub>. Round the answer to the nearest thousandth of a second.  </strong> A)3.681 sec B)29.445 sec C)33.656 sec D)6.625 sec E)7.361 sec

A)3.681 sec
B)29.445 sec
C)33.656 sec
D)6.625 sec
E)7.361 sec
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62
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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63
The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

A)3.3 mi/hr
B)6.3 mi/hr
C)7.1 mi/hr
D)2.2 mi/hr
E)4.2 mi/hr
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64
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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65
Solve the equation by using the special quadratic equation. <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation by using the special quadratic equation.  </strong> A)   B)   C)   D)   E)
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66
Solve the equation <strong>Solve the equation  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation  </strong> A)   B)   C)   D)   E)
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67
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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68
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)i B)1 C)- i D)1 + i E)- 1 in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)i B)1 C)- i D)1 + i E)- 1 , where a and b are real numbers.

A)i
B)1
C)- i
D)1 + i
E)- 1
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69
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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70
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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71
A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft 2 of glass is to be used, find the height h. <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet

A) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
B) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
C) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
D) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
E) <strong>A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft <sup> 2 </sup> of glass is to be used, find the height h.  </strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
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72
Write the expression <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   in the form <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)   , where a and b are real numbers.

A) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
B) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
C) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
D) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
E) <strong>Write the expression   in the form   , where a and b are real numbers.</strong> A)   B)   C)   D)   E)
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73
A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $450 per year. Car B costs $11,800 and has an mpg rating of 50, and insurance is $500 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

A)10 years
B)31 years
C)41 years
D)18 years
E)9 years
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74
Solve the inequality. <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the inequality.  </strong> A)   B)   C)   D)   E)
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75
Find the values of x and y, where x and y are real numbers. <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x and y, where x and y are real numbers.  </strong> A)   B)   C)   D)   E)
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76
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)no solution
E)no solution
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77
Solve the formula for <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)   . <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the formula for   .  </strong> A)   B)   C)   D)   E)
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78
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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79
The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile. <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)

A) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
B) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
C) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
D) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
E) <strong>The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.  </strong> A)   B)   C)   D)   E)
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Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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