تكلم مع الذكاء الاصطناعي
Deck 1: Equations and Inequalities
ملء الشاشة (f)
سؤال
سؤال
Find two consecutive integers whose product is 10 more than the square of the smaller number.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the following equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Determine which of the following values of x is a solution to the equation 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Determine which of the following values of x is a solution to the equation 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Translate the following statement into an algebraic expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The sum of two consecutive numbers is 
Which of the following equations describes this situation?
A)
B)
C)
D)
E)
Which of the following equations describes this situation?A)
B)
C)
D)
E)
سؤال
The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is 
feet, find the width and the length.
A)
B)
C)
D)
E)
feet, find the width and the length.A)
B)
C)
D)
E)
سؤال
Solve: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the following equation. 
A)
B)
C)
D)
E) 2
A)
B)
C)
D)
E) 2
سؤال
Which of the following equations is not a conditional equation?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the equation below. 
A) -5
B) -2
C) -4
D) 8
E) 10
A) -5
B) -2
C) -4
D) 8
E) 10
سؤال
The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations 
Female 
Male where 
is the length of the femur in inches and x is the height of the adult in inches (see figure). 
An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.
A) 50.1 inches
B) 48.9 inches
C) 51.9 inches
D) 50.7 inches
E) 55.0 inches
Female Male where is the length of the femur in inches and x is the height of the adult in inches (see figure). An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.A) 50.1 inches
B) 48.9 inches
C) 51.9 inches
D) 50.7 inches
E) 55.0 inches
سؤال
Which of the following equations is not an identity equation?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x, rounding your answer to the nearest thousandth. 
A) -0.548
B) 1.059
C) -0.281
D) -0.478
E) -0.127
A) -0.548
B) 1.059
C) -0.281
D) -0.478
E) -0.127
سؤال
سؤال
سؤال
Solve 
by factoring.
A)
B)
C)
D)
E)
by factoring.A)
B)
C)
D)
E)
سؤال
Solve the quadratic equation below by factoring. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the quadratic equation by any convenient method. 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
A)
and B)
and C)
and D)
and E)
and سؤال
Assume that air resistance is negligible, which implies that the position equation 
is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.
A) 3.92 seconds
B) 2.96 seconds
C) 7.78 seconds
D) 8.75 seconds
E) 6.82 seconds
is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.A) 3.92 seconds
B) 2.96 seconds
C) 7.78 seconds
D) 8.75 seconds
E) 6.82 seconds
سؤال
Write 
in general form.
A)
B)
C)
D)
E)
in general form.A)
B)
C)
D)
E)
سؤال
سؤال
سؤال
An investment adviser invested 
in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was 
How much was invested in each account?
A)
@ 6%; 
@ 7.5%
B)
@ 6%; 
@ 7.5%
C) $50,000 @ 6%; $40,000 @ 7.5%
D)
@ 6%; 
@ 7.5%
E)
@ 6%; 
@ 7.5%
in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was How much was invested in each account?A)
@ 6%; @ 7.5%B)
@ 6%; @ 7.5%C) $50,000 @ 6%; $40,000 @ 7.5%
D)
@ 6%; @ 7.5%E)
@ 6%; @ 7.5% سؤال
سؤال
The demand equation for a product is 
where 
is the price per unit and 
is the number of units sold.The total revenue 
for selling 
units is given by 
How many units must be sold to produce a revenue of $45,000?
A) 6000 units
B) 3000 units
C) 9000 units
D) 12,000 units
E) 15,000 units
where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $45,000?A) 6000 units
B) 3000 units
C) 9000 units
D) 12,000 units
E) 15,000 units
سؤال
سؤال
Solve: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the quadratic equation below by extracting square roots.Round to two decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Solve 
by any convenient method.
A)
B)
C)
D)
E)
by any convenient method.A)
B)
C)
D)
E)
سؤال
Solve 
by extracting square roots.
A)
B)
C)
D)
E)
by extracting square roots.A)
B)
C)
D)
E)
سؤال
سؤال
سؤال
Use the discriminant to determine the number of real solutions of the quadratic equation below. 
A) one real solutions
B) three real solutions
C) four real solutions
D) two real solutions
E) no real solutions
A) one real solutions
B) three real solutions
C) four real solutions
D) two real solutions
E) no real solutions
سؤال
سؤال
Determine the number of real solutions of 
by using the discriminant.
A) 2
B) 1
C) none
by using the discriminant.A) 2
B) 1
C) none
سؤال
سؤال
سؤال
Solve the following polynomial equation by factoring and using the zero factor property. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve 
using the quadratic formula.
A)
B)
C)
D)
E)
using the quadratic formula.A)
B)
C)
D)
E)
سؤال
The demand equation for a product is 
where 
is the price per unit and 
is the number of units sold.The total revenue 
for selling 
units is given by 
How many units must be sold to produce a revenue of $220,000?
A) 96,188 units or 155,825 units
B) 3541 units or 103,541 units
C) 3541 units or 155,825 units
D) 3812 units or 96,188 units
E) 3541 units or 3812 units
where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $220,000?A) 96,188 units or 155,825 units
B) 3541 units or 103,541 units
C) 3541 units or 155,825 units
D) 3812 units or 96,188 units
E) 3541 units or 3812 units
سؤال
Use the cost equation 
to find the number of units x that a manufacturer can produce when 
Round answer to the nearest whole unit.
A) 365 units
B) 357 units
C) 344 units
D) 336 units
E) 330 units
to find the number of units x that a manufacturer can produce when Round answer to the nearest whole unit.A) 365 units
B) 357 units
C) 344 units
D) 336 units
E) 330 units
سؤال
Find the real solutions of the radical equation. 
A) -100
B) -10
C) 120
D) -20
E) 50
A) -100
B) -10
C) 120
D) -20
E) 50
سؤال
Solve 
using the quadratic formula.Round answers to nearest thousandth.
A)
B)
C)
D)
E)
using the quadratic formula.Round answers to nearest thousandth.A)
B)
C)
D)
E)
سؤال
Find the real solutions of the polynomial equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the real solutions of the radical equation. 
A) 7
B) 4
C) 49
D) -9
E) -3
A) 7
B) 4
C) 49
D) -9
E) -3
سؤال
سؤال
Solve the quadratic equation below using any convenient method. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area. 
A)
or 
B)
or 
C)
or 
D)
or 
E)
or 
A)
or B)
or C)
or D)
or E)
or سؤال
Find the real solutions of the polynomial equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the real solutions of the polynomial equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the Quadratic Formula to solve the quadratic equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A windlass is used to tow a boat to a dock.The figure shows a situation in which there are 
feet of rope extended to the boat 
feet away from the dock.How far is the boat from the dock if 
feet and 
feet? Round to the nearest tenth of a foot. 
A) 26.0 feet
B) 7.6 feet
C) 62.8 feet
D) 16.8 feet
E) 44.4 feet
feet of rope extended to the boat feet away from the dock.How far is the boat from the dock if feet and feet? Round to the nearest tenth of a foot. A) 26.0 feet
B) 7.6 feet
C) 62.8 feet
D) 16.8 feet
E) 44.4 feet
سؤال
Use the quadratic formula to solve the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The height, h, in feet, of a baseball above the ground t seconds after it is hit is given by 
Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.
A) 2.7 s
B) 2.8 s
C) 2.9 s
D) 3.0 s
E) 3.1 s
Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.A) 2.7 s
B) 2.8 s
C) 2.9 s
D) 3.0 s
E) 3.1 s
سؤال
Find all solutions of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Find the real solutions of the equation below involving absolute value.Check your solutions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find all solutions of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find all solutions of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The SMOG (Simplified Measure of Gobbledygook) readability formula estimates the reading grade level required by a person if he or she is to fully understand the written material assessed.The SMOG formula is defined as SMOG reading grade level 
where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences.A writer of children's books has decided to write a book that can be fully understood by children at the 7th-grade level.What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?
A) 18
B) 20
C) 16
D) 17
E) 19
where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences.A writer of children's books has decided to write a book that can be fully understood by children at the 7th-grade level.What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?A) 18
B) 20
C) 16
D) 17
E) 19
سؤال
Solve the rational equation below. 
A) -8
B) -19
C) -17
D) 6
E) -4
A) -8
B) -19
C) -17
D) 6
E) -4
سؤال
Match the inequality 
with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
سؤال
Use interval notation to express the solution set for the inequality below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write an inequality that represents the interval 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve: 
A)
B)
C)
D)
E) no solution
A)
B)
C)
D)
E) no solution
سؤال
The number of new privately-owned housing projects 
(in thousands) started from 2000 to 2005 can be modeled by 
where 
represents the year, with 
corresponding to 2000.Use the model to predict the year that about 1,600,000 new housing projects were started.
A) 2002
B) 2001
C) 2000
D) 2003
E) 2004
(in thousands) started from 2000 to 2005 can be modeled by where represents the year, with corresponding to 2000.Use the model to predict the year that about 1,600,000 new housing projects were started.A) 2002
B) 2001
C) 2000
D) 2003
E) 2004
سؤال
Match the inequality 
with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
سؤال
Solve the following absolute value equation for 
A) 1
B) 3
C) -3, 3
D) -13, 1
E) -13, 3
A) 1
B) 3
C) -3, 3
D) -13, 1
E) -13, 3
سؤال
Match the inequality 
with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
سؤال
Solve the inequality below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use interval notation to express the solution set of the inequality below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A professional painter can paint a kitchen in 9 hours.His apprentice can paint the same kitchen in 12 hours. If they worked together, how long would it take for them to paint the kitchen?
A) 11
B)
C)
D) 3
E)
A) 11
B)
C)
D) 3
E)
سؤال
Which of the following is not a solution to the inequality 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
سؤال
Which of the following is not a solution to the inequality 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 1: Equations and Inequalities
1
Suppose a lunch consisting of a large hamburger, large fries and large soft drink at a fast food chain contains 1380 calories.A lunch consisting of a small hamburger, small fries and a small soft drink at the same fast food chain contains 880 calories.Find the percent change in calories from the smaller to the larger lunch.Round to the nearest hundredth of a percent.
A) 56.82% increase
B) 63.77% decrease
C) 63.77% increase
D) 36.23% increase
E) 56.82% decrease
A) 56.82% increase
B) 63.77% decrease
C) 63.77% increase
D) 36.23% increase
E) 56.82% decrease
A
2
Find two consecutive integers whose product is 10 more than the square of the smaller number.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
C
3
Solve the following equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
C
4
Determine which of the following values of x is a solution to the equation
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Solve:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Determine which of the following values of x is a solution to the equation
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Solve the equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Solve:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Translate the following statement into an algebraic expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
The sum of two consecutive numbers is Which of the following equations describes this situation?
A)
B)
C)
D)
E)
Which of the following equations describes this situation?A)
B)
C)
D)
E)
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11
The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is feet, find the width and the length.
A)
B)
C)
D)
E)
feet, find the width and the length.A)
B)
C)
D)
E)
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12
Solve:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Solve the following equation.
A)
B)
C)
D)
E) 2
A)
B)
C)
D)
E) 2
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14
Which of the following equations is not a conditional equation?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Solve the equation below.
A) -5
B) -2
C) -4
D) 8
E) 10
A) -5
B) -2
C) -4
D) 8
E) 10
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16
The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations Female Male where is the length of the femur in inches and x is the height of the adult in inches (see figure). An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.
A) 50.1 inches
B) 48.9 inches
C) 51.9 inches
D) 50.7 inches
E) 55.0 inches
Female Male where is the length of the femur in inches and x is the height of the adult in inches (see figure). An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.A) 50.1 inches
B) 48.9 inches
C) 51.9 inches
D) 50.7 inches
E) 55.0 inches
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17
Which of the following equations is not an identity equation?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Solve for x, rounding your answer to the nearest thousandth.
A) -0.548
B) 1.059
C) -0.281
D) -0.478
E) -0.127
A) -0.548
B) 1.059
C) -0.281
D) -0.478
E) -0.127
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19
You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.
A) $68,138.34
B) $66,854.44
C) $67,881.56
D) $68,651.90
E) $69,422.24
A) $68,138.34
B) $66,854.44
C) $67,881.56
D) $68,651.90
E) $69,422.24
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20
Your weekly paycheck is 16% more than your coworker's.Your two paychecks total $1188.Find the amount of your coworker's paycheck.
A) $587
B) $638
C) $502
D) $694
E) $550
A) $587
B) $638
C) $502
D) $694
E) $550
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21
Solve by factoring.
A)
B)
C)
D)
E)
by factoring.A)
B)
C)
D)
E)
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22
Solve the quadratic equation below by factoring.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Solve the quadratic equation by any convenient method.
A) and
B) and
C) and
D) and
E) and
A)
and B)
and C)
and D)
and E)
and فتح الحزمة
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24
Assume that air resistance is negligible, which implies that the position equation is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.
A) 3.92 seconds
B) 2.96 seconds
C) 7.78 seconds
D) 8.75 seconds
E) 6.82 seconds
is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.A) 3.92 seconds
B) 2.96 seconds
C) 7.78 seconds
D) 8.75 seconds
E) 6.82 seconds
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25
Write in general form.
A)
B)
C)
D)
E)
in general form.A)
B)
C)
D)
E)
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26
Two friends fly from from one city to another (a distance apart of 2417 miles).It takes 2 hours and 25 minutes to fly the first 860 miles.At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.
A) 8.15 hours
B) 6.79 hours
C) 6.34 hours
D) 5.89 hours
E) 7.24 hours
A) 8.15 hours
B) 6.79 hours
C) 6.34 hours
D) 5.89 hours
E) 7.24 hours
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27
How many liters of a 25% acid solution should be mixed with 3 liters of a 15% acid solution to produce a 23% solution?
A) 4 liters
B) 12 liters
C) 7 liters
D) 2 liters
E) 6 liters
A) 4 liters
B) 12 liters
C) 7 liters
D) 2 liters
E) 6 liters
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28
An investment adviser invested in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was How much was invested in each account?
A) @ 6%; @ 7.5%
B) @ 6%; @ 7.5%
C) $50,000 @ 6%; $40,000 @ 7.5%
D) @ 6%; @ 7.5%
E) @ 6%; @ 7.5%
in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was How much was invested in each account?A)
@ 6%; @ 7.5%B)
@ 6%; @ 7.5%C) $50,000 @ 6%; $40,000 @ 7.5%
D)
@ 6%; @ 7.5%E)
@ 6%; @ 7.5% فتح الحزمة
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29
To determine the height of a tree, you measure its shadow and the shadow of a five-foot lamppost.The shadow of the lamppost is 2 feet and the shadow of the tree is 25 feet.Assuming both the tree and the lamppost are standing next to each other and perpendicular to the ground, how tall is the tree? Round to the nearest tenth of a foot.
A) 62.5 feet
B) 36.3 feet
C) 80.0 feet
D) 10.0 feet
E) 18.8 feet
A) 62.5 feet
B) 36.3 feet
C) 80.0 feet
D) 10.0 feet
E) 18.8 feet
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30
The demand equation for a product is where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $45,000?
A) 6000 units
B) 3000 units
C) 9000 units
D) 12,000 units
E) 15,000 units
where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $45,000?A) 6000 units
B) 3000 units
C) 9000 units
D) 12,000 units
E) 15,000 units
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31
The price of a computer fell 15% this year.If the computer now costs $680, how much did it cost last year?
A) $760
B) $820
C) $800
D) $780
E) $790
A) $760
B) $820
C) $800
D) $780
E) $790
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32
Solve:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Solve the quadratic equation below by extracting square roots.Round to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
A rectangular pool is 40 feet wide and 45 feet long.It is surrounded on all four sides by a wooden deck of fixed width.The total area enclosed within the perimeter of the deck is 2354 square feet.What is the width of the deck?
A) 9 feet
B) 8 feet
C) 4 feet
D) 11 feet
E) 12 feet
A) 9 feet
B) 8 feet
C) 4 feet
D) 11 feet
E) 12 feet
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35
Solve by any convenient method.
A)
B)
C)
D)
E)
by any convenient method.A)
B)
C)
D)
E)
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36
Solve by extracting square roots.
A)
B)
C)
D)
E)
by extracting square roots.A)
B)
C)
D)
E)
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37
How much water must be added to 8 liters of a 51% saline solution to dilute it to a 36% saline solution? Round answer to nearest tenth of a liter.
A) 3.1 liters
B) 3.3 liters
C) 3.5 liters
D) 3.7 liters
E) 3.9 liters
A) 3.1 liters
B) 3.3 liters
C) 3.5 liters
D) 3.7 liters
E) 3.9 liters
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38
Variable costs depend on the number of units produced.Fixed costs are the same regardless of how many units are produced.A company has fixed monthly costs of $17,000 and variable monthly costs of $6.00 per unit.The company has $95,000 available each month to cover costs.Find the greatest number of units the company can produce each month.
A) 13,000 units per month
B) 12,991 units per month
C) 12,987 units per month
D) 12,998 units per month
E) 13,014 units per month
A) 13,000 units per month
B) 12,991 units per month
C) 12,987 units per month
D) 12,998 units per month
E) 13,014 units per month
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39
Use the discriminant to determine the number of real solutions of the quadratic equation below.
A) one real solutions
B) three real solutions
C) four real solutions
D) two real solutions
E) no real solutions
A) one real solutions
B) three real solutions
C) four real solutions
D) two real solutions
E) no real solutions
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40
The price of a home theater system has been discounted 18%.The sale price is $289.Find the original price of the system.
A) $341.02
B) $356.25
C) $363.86
D) $352.44
E) $348.63
A) $341.02
B) $356.25
C) $363.86
D) $352.44
E) $348.63
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41
Determine the number of real solutions of by using the discriminant.
A) 2
B) 1
C) none
by using the discriminant.A) 2
B) 1
C) none
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42
One number is 1 more than another number.The sum of their squares is 41.Find the numbers.
A) 4, 5 or -5, -4
B) 3, 4 or -4, -3
C) 9, 10 or -10, -9
D) 2, 3 or -3, -2
E) 7, 8 or -8, -7
A) 4, 5 or -5, -4
B) 3, 4 or -4, -3
C) 9, 10 or -10, -9
D) 2, 3 or -3, -2
E) 7, 8 or -8, -7
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43
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides.If the volume of the box needs to be 90.75 cubic inches, what size square piece of cardboard is needed?
A) 10.0 inches by 10.0 inches
B) 14.0 inches by 14.0 inches
C) 2.5 inches by 2.5 inches
D) 8.5 inches by 8.5 inches
E) 11.5 inches by 11.5 inches
A) 10.0 inches by 10.0 inches
B) 14.0 inches by 14.0 inches
C) 2.5 inches by 2.5 inches
D) 8.5 inches by 8.5 inches
E) 11.5 inches by 11.5 inches
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44
Solve the following polynomial equation by factoring and using the zero factor property.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Solve using the quadratic formula.
A)
B)
C)
D)
E)
using the quadratic formula.A)
B)
C)
D)
E)
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46
The demand equation for a product is where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $220,000?
A) 96,188 units or 155,825 units
B) 3541 units or 103,541 units
C) 3541 units or 155,825 units
D) 3812 units or 96,188 units
E) 3541 units or 3812 units
where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $220,000?A) 96,188 units or 155,825 units
B) 3541 units or 103,541 units
C) 3541 units or 155,825 units
D) 3812 units or 96,188 units
E) 3541 units or 3812 units
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47
Use the cost equation to find the number of units x that a manufacturer can produce when Round answer to the nearest whole unit.
A) 365 units
B) 357 units
C) 344 units
D) 336 units
E) 330 units
to find the number of units x that a manufacturer can produce when Round answer to the nearest whole unit.A) 365 units
B) 357 units
C) 344 units
D) 336 units
E) 330 units
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48
Find the real solutions of the radical equation.
A) -100
B) -10
C) 120
D) -20
E) 50
A) -100
B) -10
C) 120
D) -20
E) 50
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49
Solve using the quadratic formula.Round answers to nearest thousandth.
A)
B)
C)
D)
E)
using the quadratic formula.Round answers to nearest thousandth.A)
B)
C)
D)
E)
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50
Find the real solutions of the polynomial equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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51
Find the real solutions of the radical equation.
A) 7
B) 4
C) 49
D) -9
E) -3
A) 7
B) 4
C) 49
D) -9
E) -3
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52
Two planes leave simultaneously from the same airport, one flying due east and the other due south.The eastbound plane is flying 75 miles per hour slower than the southbound plane.After 3 hours the planes are 1863 miles apart.Find the speed of the southbound plane.
A) 475 miles per hour
B) 350 miles per hour
C) 375 miles per hour
D) 425 miles per hour
E) 400 miles per hour
A) 475 miles per hour
B) 350 miles per hour
C) 375 miles per hour
D) 425 miles per hour
E) 400 miles per hour
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53
Solve the quadratic equation below using any convenient method.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area.
A) or
B) or
C) or
D) or
E) or
A)
or B)
or C)
or D)
or E)
or فتح الحزمة
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55
Find the real solutions of the polynomial equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
Find the real solutions of the polynomial equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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57
Use the Quadratic Formula to solve the quadratic equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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58
A windlass is used to tow a boat to a dock.The figure shows a situation in which there are feet of rope extended to the boat feet away from the dock.How far is the boat from the dock if feet and feet? Round to the nearest tenth of a foot.
A) 26.0 feet
B) 7.6 feet
C) 62.8 feet
D) 16.8 feet
E) 44.4 feet
feet of rope extended to the boat feet away from the dock.How far is the boat from the dock if feet and feet? Round to the nearest tenth of a foot. A) 26.0 feet
B) 7.6 feet
C) 62.8 feet
D) 16.8 feet
E) 44.4 feet
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59
Use the quadratic formula to solve the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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60
The height, h, in feet, of a baseball above the ground t seconds after it is hit is given by Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.
A) 2.7 s
B) 2.8 s
C) 2.9 s
D) 3.0 s
E) 3.1 s
Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.A) 2.7 s
B) 2.8 s
C) 2.9 s
D) 3.0 s
E) 3.1 s
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61
Find all solutions of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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62
A college charters a bus for $1848 to take a group of students to the Fiesta Bowl.When two more students join the trip, the cost per student decreases by $2.00.How many students were in the original group?
A) 42
B) 28
C) 34
D) 41
E) 49
A) 42
B) 28
C) 34
D) 41
E) 49
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63
Find the real solutions of the equation below involving absolute value.Check your solutions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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64
Find all solutions of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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65
Find all solutions of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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66
The SMOG (Simplified Measure of Gobbledygook) readability formula estimates the reading grade level required by a person if he or she is to fully understand the written material assessed.The SMOG formula is defined as SMOG reading grade level where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences.A writer of children's books has decided to write a book that can be fully understood by children at the 7th-grade level.What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?
A) 18
B) 20
C) 16
D) 17
E) 19
where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences.A writer of children's books has decided to write a book that can be fully understood by children at the 7th-grade level.What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?A) 18
B) 20
C) 16
D) 17
E) 19
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67
Solve the rational equation below.
A) -8
B) -19
C) -17
D) 6
E) -4
A) -8
B) -19
C) -17
D) 6
E) -4
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68
Match the inequality with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
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69
Use interval notation to express the solution set for the inequality below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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70
Write an inequality that represents the interval
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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71
Solve:
A)
B)
C)
D)
E) no solution
A)
B)
C)
D)
E) no solution
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72
The number of new privately-owned housing projects (in thousands) started from 2000 to 2005 can be modeled by where represents the year, with corresponding to 2000.Use the model to predict the year that about 1,600,000 new housing projects were started.
A) 2002
B) 2001
C) 2000
D) 2003
E) 2004
(in thousands) started from 2000 to 2005 can be modeled by where represents the year, with corresponding to 2000.Use the model to predict the year that about 1,600,000 new housing projects were started.A) 2002
B) 2001
C) 2000
D) 2003
E) 2004
فتح الحزمة
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73
Match the inequality with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
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74
Solve the following absolute value equation for
A) 1
B) 3
C) -3, 3
D) -13, 1
E) -13, 3
A) 1
B) 3
C) -3, 3
D) -13, 1
E) -13, 3
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افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
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75
Match the inequality with its graph.
A)
B)
C)
D)
E)
with its graph.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
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76
Solve the inequality below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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77
Use interval notation to express the solution set of the inequality below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
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78
A professional painter can paint a kitchen in 9 hours.His apprentice can paint the same kitchen in 12 hours. If they worked together, how long would it take for them to paint the kitchen?
A) 11
B)
C)
D) 3
E)
A) 11
B)
C)
D) 3
E)
فتح الحزمة
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79
Which of the following is not a solution to the inequality ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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80
Which of the following is not a solution to the inequality ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
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فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 94 في هذه المجموعة.
