Deck 8: Roots, Radical Expressions, and Radical Equations

ملء الشاشة (f)
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سؤال
Refer to the following illustration. Find <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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سؤال
The size of a television screen is the diagonal measure of its rectangular screen. How large is a screen if it is 16 inches wide and 20 inches high? <strong>The size of a television screen is the diagonal measure of its rectangular screen. How large is a screen if it is 16 inches wide and 20 inches high?  </strong> A) 29 in. B) 28 in. C) 23 in. D) 25 in E) 22 in. <div style=padding-top: 35px>

A) 29 in.
B) 28 in.
C) 23 in.
D) 25 in
E) 22 in.
سؤال
Find the value without using a calculator. <strong>Find the value without using a calculator.  </strong> A) -9 B) 9 C) 27 D) -27 E) not a real number <div style=padding-top: 35px>

A) -9
B) 9
C) 27
D) -27
E) not a real number
سؤال
Use a calculator to find the cube root to the nearest hundredth. <strong>Use a calculator to find the cube root to the nearest hundredth.  </strong> A)   5.94 B) 14.46 C) 5.94 D) 14.49 E) none of the above <div style=padding-top: 35px>

A) <strong>Use a calculator to find the cube root to the nearest hundredth.  </strong> A)   5.94 B) 14.46 C) 5.94 D) 14.49 E) none of the above <div style=padding-top: 35px> 5.94
B) 14.46
C) 5.94
D) 14.49
E) none of the above
سؤال
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

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

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the square root without using a calculator. <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3 <div style=padding-top: 35px>

A) 4
B) 6
C) <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3 <div style=padding-top: 35px> 4
D) <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3 <div style=padding-top: 35px> 3
E) 3
سؤال
A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula <strong>A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula   , and solve for s to find the length of each side of the box.</strong> A)   B) 24 cu. ft. C) 16 cu. ft. D) 8 cu. ft. E) none of the above <div style=padding-top: 35px> , and solve for s to find the length of each side of the box.

A) <strong>A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula   , and solve for s to find the length of each side of the box.</strong> A)   B) 24 cu. ft. C) 16 cu. ft. D) 8 cu. ft. E) none of the above <div style=padding-top: 35px>
B) 24 cu. ft.
C) 16 cu. ft.
D) 8 cu. ft.
E) none of the above
سؤال
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) imaginary B) rational C) irrational <div style=padding-top: 35px> rational, irrational, or imaginary?

A) imaginary
B) rational
C) irrational
سؤال
Find the cube root. Give the answer to the nearest hundredth. <strong>Find the cube root. Give the answer to the nearest hundredth.  </strong> A) 28.09 B) 29.32 C) - 27.53 D) - 29.32 E) -28.09 <div style=padding-top: 35px>

A) 28.09
B) 29.32
C) - 27.53
D) - 29.32
E) -28.09
سؤال
The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function . The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function .     Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft<div style=padding-top: 35px> The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function .     Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft<div style=padding-top: 35px> Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft
سؤال
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) rational B) irrational C) imaginary <div style=padding-top: 35px> rational, irrational, or imaginary?

A) rational
B) irrational
C) imaginary
سؤال
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A team of archaeologists travels 3.6 miles east and then 2.8 miles north of their base camp to explore some ancient ruins. "As the crow flies", how far from their base camp are they? Round to the nearest whole number.

A) 6 mi
B) 7 mi
C) 15 mi
D) 5 mi
E) 4 mi
سؤال
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the cube root. Give the answer to the nearest hundredth. <strong>Find the cube root. Give the answer to the nearest hundredth.  </strong> A) -0.48 B) 0.42 C) 0.48 D) -0.42 E) -0.44 <div style=padding-top: 35px>

A) -0.48
B) 0.42
C) 0.48
D) -0.42
E) -0.44
سؤال
Find the square root without using a calculator. <strong>Find the square root without using a calculator.  </strong> A) 0.3 B) 2 C) 0.02 D) 0.1 E) 0.2 <div style=padding-top: 35px>

A) 0.3
B) 2
C) 0.02
D) 0.1
E) 0.2
سؤال
Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10. <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>

A) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
B) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
C) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
D) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
E) none of the above
سؤال
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) irrational B) imaginary C) rational <div style=padding-top: 35px> rational, irrational, or imaginary?

A) irrational
B) imaginary
C) rational
سؤال
Find the value without using a calculator. <strong>Find the value without using a calculator.  </strong> A) 9 B) 0.1 C) 10 D) 0.3 E) 1 <div style=padding-top: 35px>

A) 9
B) 0.1
C) 10
D) 0.3
E) 1
سؤال
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use a calculator to find the root to the nearest hundredth. <strong>Use a calculator to find the root to the nearest hundredth.  </strong> A) 6.62 B) 23.36 C) 10.63 <div style=padding-top: 35px>

A) 6.62
B) 23.36
C) 10.63
سؤال
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the value. <strong>Find the value.  </strong> A) -9 B) 9 C)   D) - 1 E) 1 <div style=padding-top: 35px>

A) -9
B) 9
C) <strong>Find the value.  </strong> A) -9 B) 9 C)   D) - 1 E) 1 <div style=padding-top: 35px>
D) - 1
E) 1
سؤال
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
E) none of the above
سؤال
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rationalize the denominator and simplify. The variable represents a positive real number. <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the value. Find the value.  <div style=padding-top: 35px>
سؤال
<strong>  This graph is</strong> A)   B)   C)   D)   <div style=padding-top: 35px> This graph is

A) <strong>  This graph is</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>  This graph is</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>  This graph is</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>  This graph is</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Express the following radical in simplest radical form. All variables represent nonnegative real numbers. <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the following product and express your answer in simplest radical form. <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 86 B) 111 C) 88 D) 77 E) no solution <div style=padding-top: 35px>

A) 86
B) 111
C) 88
D) 77
E) no solution
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

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

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rationalize the denominator and simplify. The variable represents a positive real number. <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 17 B) 16 C) 4 D) 19 E) no solution <div style=padding-top: 35px>

A) 17
B) 16
C) 4
D) 19
E) no solution
سؤال
Perform the division by rationalizing the denominator and simplifying. <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A) x = 121 B) x = 8 C) x = 64 D) x = 11 E) no solution <div style=padding-top: 35px>

A) x = 121
B) x = 8
C) x = 64
D) x = 11
E) no solution
سؤال
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Rationalize the denominator and simplify. <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 81 B) 41 C) 9 D) 79 E) no solution <div style=padding-top: 35px>

A) 81
B) 41
C) 9
D) 79
E) no solution
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A) 0 B) 3 C) -3 D) -3, 3 E) no solution <div style=padding-top: 35px>

A) 0
B) 3
C) -3
D) -3, 3
E) no solution
سؤال
Find the following product and express your answer in simplest radical form. <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the division by rationalizing the denominator and simplifying. <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the equation. <strong>Solve the equation.  </strong> A) t = 5 B) t = 3 C) t = 4 D) t = 4, 5 E) no solution <div style=padding-top: 35px>

A) t = 5
B) t = 3
C) t = 4
D) t = 4, 5
E) no solution
سؤال
Multiply and simplify where possible. <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Multiply and simplify where possible. <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
E) not real
سؤال
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 51 B) 102 C) 4 D) 54 E) no solution <div style=padding-top: 35px>

A) 51
B) 102
C) 4
D) 54
E) no solution
سؤال
Perform the operation. Do not use negative exponents in the answer. <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify: <strong>Simplify:  </strong> A)   B)   C) not a real number D)   <div style=padding-top: 35px>

A) <strong>Simplify:  </strong> A)   B)   C) not a real number D)   <div style=padding-top: 35px>
B) <strong>Simplify:  </strong> A)   B)   C) not a real number D)   <div style=padding-top: 35px>
C) not a real number
D) <strong>Simplify:  </strong> A)   B)   C) not a real number D)   <div style=padding-top: 35px>
سؤال
The formula <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft <div style=padding-top: 35px> relates the speed <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft <div style=padding-top: 35px> (in mph) of a car and the distance <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft <div style=padding-top: 35px> of the skid when a driver hits the brakes. On wet pavement, <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft <div style=padding-top: 35px> . How far will a car skid if it is going 50 mph?

A) about 215 ft
B) about 272 ft
C) about 238 ft
D) about 193 ft
E) about 226 ft
سؤال
Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).

A) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A) 49 B)   C) 6 D) 36 E) 81 <div style=padding-top: 35px>

A) 49
B) <strong>Simplify the expression.  </strong> A) 49 B)   C) 6 D) 36 E) 81 <div style=padding-top: 35px>
C) 6
D) 36
E) 81
سؤال
Simplify: <strong>Simplify:  </strong> A) 2 B) 74 C) 8 D) 28 <div style=padding-top: 35px>

A) 2
B) 74
C) 8
D) 28
سؤال
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real <div style=padding-top: 35px>
E) not real
سؤال
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 125 B) 250 C) 5 D) 123 E) no solution <div style=padding-top: 35px>

A) 125
B) 250
C) 5
D) 123
E) no solution
سؤال
Find the distance between the two points. (11, 14) and (-4, -4)

A) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)   <div style=padding-top: 35px>
B) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)   <div style=padding-top: 35px>
C) 61
D) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)   <div style=padding-top: 35px>
E) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)   <div style=padding-top: 35px>
سؤال
Find the distance between two points. (-1, 4) and (5, 12)

A) 10
B) 15
C) 13
D) 7
E) 8
سؤال
The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364 <div style=padding-top: 35px> . If the satellite's orbital speed is <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364 <div style=padding-top: 35px> meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter. <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364 <div style=padding-top: 35px>

A) 3,173
B) 11,186
C) 10,073,164
D) 10,078,964
E) 10,067,364
سؤال
The number of wrenches that can be produced at a given price can be predicted by the formula <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above <div style=padding-top: 35px> , where <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above <div style=padding-top: 35px> is the supply (in thousands) and <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above <div style=padding-top: 35px> is the price (in dollars). If the demand <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above <div style=padding-top: 35px> for the wrenches can be predicted by the formula <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above <div style=padding-top: 35px> , find the equilibrium price.

A) $5
B) $4
C) $3
D) None of the above
سؤال
Solve the equation. Write all solutions and then indicate which of those solutions are extraneous. <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px> is extraneous
B) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px> is extraneous
C) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 8: Roots, Radical Expressions, and Radical Equations
1
Refer to the following illustration. Find <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   if <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   and <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)   . <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)

A) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)
B) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)
C) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)
D) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)
E) <strong>Refer to the following illustration. Find   if   and   .  </strong> A)   B)   C)   D)   E)
2
The size of a television screen is the diagonal measure of its rectangular screen. How large is a screen if it is 16 inches wide and 20 inches high? <strong>The size of a television screen is the diagonal measure of its rectangular screen. How large is a screen if it is 16 inches wide and 20 inches high?  </strong> A) 29 in. B) 28 in. C) 23 in. D) 25 in E) 22 in.

A) 29 in.
B) 28 in.
C) 23 in.
D) 25 in
E) 22 in.
25 in
3
Find the value without using a calculator. <strong>Find the value without using a calculator.  </strong> A) -9 B) 9 C) 27 D) -27 E) not a real number

A) -9
B) 9
C) 27
D) -27
E) not a real number
-9
4
Use a calculator to find the cube root to the nearest hundredth. <strong>Use a calculator to find the cube root to the nearest hundredth.  </strong> A)   5.94 B) 14.46 C) 5.94 D) 14.49 E) none of the above

A) <strong>Use a calculator to find the cube root to the nearest hundredth.  </strong> A)   5.94 B) 14.46 C) 5.94 D) 14.49 E) none of the above 5.94
B) 14.46
C) 5.94
D) 14.49
E) none of the above
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5
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
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6
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
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7
Find the square root without using a calculator. <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3

A) 4
B) 6
C) <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3 4
D) <strong>Find the square root without using a calculator.  </strong> A) 4 B) 6 C)   4 D)   3 E) 3 3
E) 3
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8
A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula <strong>A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula   , and solve for s to find the length of each side of the box.</strong> A)   B) 24 cu. ft. C) 16 cu. ft. D) 8 cu. ft. E) none of the above , and solve for s to find the length of each side of the box.

A) <strong>A cubical box has a volume of 512 cubic feet. Substitute 512 for V in the formula   , and solve for s to find the length of each side of the box.</strong> A)   B) 24 cu. ft. C) 16 cu. ft. D) 8 cu. ft. E) none of the above
B) 24 cu. ft.
C) 16 cu. ft.
D) 8 cu. ft.
E) none of the above
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9
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) imaginary B) rational C) irrational rational, irrational, or imaginary?

A) imaginary
B) rational
C) irrational
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10
Find the cube root. Give the answer to the nearest hundredth. <strong>Find the cube root. Give the answer to the nearest hundredth.  </strong> A) 28.09 B) 29.32 C) - 27.53 D) - 29.32 E) -28.09

A) 28.09
B) 29.32
C) - 27.53
D) - 29.32
E) -28.09
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11
The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function . The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function .     Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft The design for a set of brass pipes for a church organ are shown in the illustration below, where the red line is the graph of function .     Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft Find the length of each pipe (to the nearest tenth of a foot), and then find the total length of pipe needed to construct this set (to the nearest tenth of a foot). __________ ft
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12
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) rational B) irrational C) imaginary rational, irrational, or imaginary?

A) rational
B) irrational
C) imaginary
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13
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
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14
A team of archaeologists travels 3.6 miles east and then 2.8 miles north of their base camp to explore some ancient ruins. "As the crow flies", how far from their base camp are they? Round to the nearest whole number.

A) 6 mi
B) 7 mi
C) 15 mi
D) 5 mi
E) 4 mi
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15
Graph the function. <strong>Graph the function.  </strong> A)   B)   C)   D)   E)

A) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
B) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
C) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
D) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
E) <strong>Graph the function.  </strong> A)   B)   C)   D)   E)
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16
Find the cube root. Give the answer to the nearest hundredth. <strong>Find the cube root. Give the answer to the nearest hundredth.  </strong> A) -0.48 B) 0.42 C) 0.48 D) -0.42 E) -0.44

A) -0.48
B) 0.42
C) 0.48
D) -0.42
E) -0.44
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17
Find the square root without using a calculator. <strong>Find the square root without using a calculator.  </strong> A) 0.3 B) 2 C) 0.02 D) 0.1 E) 0.2

A) 0.3
B) 2
C) 0.02
D) 0.1
E) 0.2
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18
Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10. <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above

A) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above
B) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above
C) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above
D) <strong>Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.  </strong> A)   B)   C)   D)   E) none of the above
E) none of the above
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19
Is the number <strong>Is the number   rational, irrational, or imaginary?</strong> A) irrational B) imaginary C) rational rational, irrational, or imaginary?

A) irrational
B) imaginary
C) rational
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20
Find the value without using a calculator. <strong>Find the value without using a calculator.  </strong> A) 9 B) 0.1 C) 10 D) 0.3 E) 1

A) 9
B) 0.1
C) 10
D) 0.3
E) 1
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21
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
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22
Use a calculator to find the root to the nearest hundredth. <strong>Use a calculator to find the root to the nearest hundredth.  </strong> A) 6.62 B) 23.36 C) 10.63

A) 6.62
B) 23.36
C) 10.63
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23
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
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24
Find the value. <strong>Find the value.  </strong> A) -9 B) 9 C)   D) - 1 E) 1

A) -9
B) 9
C) <strong>Find the value.  </strong> A) -9 B) 9 C)   D) - 1 E) 1
D) - 1
E) 1
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25
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
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26
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
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27
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
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28
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
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29
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
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30
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
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31
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E) none of the above
E) none of the above
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32
Use the distributive property to help simplify the expression. <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the distributive property to help simplify the expression.  </strong> A)   B)   C)   D)   E)
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33
Rationalize the denominator and simplify. The variable represents a positive real number. <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)

A) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
B) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
C) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
D) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
E) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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34
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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35
Write the quotient as the quotient of two radicals and simplify. <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the quotient as the quotient of two radicals and simplify.  </strong> A)   B)   C)   D)   E)
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36
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
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37
Find the value. Find the value.
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38
<strong>  This graph is</strong> A)   B)   C)   D)   This graph is

A) <strong>  This graph is</strong> A)   B)   C)   D)
B) <strong>  This graph is</strong> A)   B)   C)   D)
C) <strong>  This graph is</strong> A)   B)   C)   D)
D) <strong>  This graph is</strong> A)   B)   C)   D)
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39
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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40
Express the following radical in simplest radical form. All variables represent nonnegative real numbers. <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Express the following radical in simplest radical form. All variables represent nonnegative real numbers.  </strong> A)   B)   C)   D)   E)
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41
Find the following product and express your answer in simplest radical form. <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
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42
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 86 B) 111 C) 88 D) 77 E) no solution

A) 86
B) 111
C) 88
D) 77
E) no solution
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43
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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44
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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45
Rationalize the denominator and simplify. The variable represents a positive real number. <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)

A) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
B) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
C) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
D) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
E) <strong>Rationalize the denominator and simplify. The variable represents a positive real number.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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46
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 17 B) 16 C) 4 D) 19 E) no solution

A) 17
B) 16
C) 4
D) 19
E) no solution
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47
Perform the division by rationalizing the denominator and simplifying. <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)

A) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
B) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
C) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
D) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
E) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
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48
Solve the equation. <strong>Solve the equation.  </strong> A) x = 121 B) x = 8 C) x = 64 D) x = 11 E) no solution

A) x = 121
B) x = 8
C) x = 64
D) x = 11
E) no solution
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49
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)
فتح الحزمة
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50
Rationalize the denominator and simplify. <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)

A) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)
B) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)
C) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)
D) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)
E) <strong>Rationalize the denominator and simplify.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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51
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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52
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 81 B) 41 C) 9 D) 79 E) no solution

A) 81
B) 41
C) 9
D) 79
E) no solution
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53
Solve the equation. <strong>Solve the equation.  </strong> A) 0 B) 3 C) -3 D) -3, 3 E) no solution

A) 0
B) 3
C) -3
D) -3, 3
E) no solution
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54
Find the following product and express your answer in simplest radical form. <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the following product and express your answer in simplest radical form.  </strong> A)   B)   C)   D)   E)
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55
Simplify the expression. Assume that all variables represent positive numbers. <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression. Assume that all variables represent positive numbers.  </strong> A)   B)   C)   D)   E)
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56
Express the following expression in simplest radical form. All variables represent positive real numbers. <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)

A) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
B) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
C) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
D) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
E) <strong>Express the following expression in simplest radical form. All variables represent positive real numbers.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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57
Perform the division by rationalizing the denominator and simplifying. <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)

A) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
B) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
C) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
D) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
E) <strong>Perform the division by rationalizing the denominator and simplifying.  </strong> A)   B)   C)   D)   E)
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58
Solve the equation. <strong>Solve the equation.  </strong> A) t = 5 B) t = 3 C) t = 4 D) t = 4, 5 E) no solution

A) t = 5
B) t = 3
C) t = 4
D) t = 4, 5
E) no solution
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59
Multiply and simplify where possible. <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
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60
Multiply and simplify where possible. <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply and simplify where possible.  </strong> A)   B)   C)   D)   E)
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61
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
E) not real
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62
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 51 B) 102 C) 4 D) 54 E) no solution

A) 51
B) 102
C) 4
D) 54
E) no solution
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63
Perform the operation. Do not use negative exponents in the answer. <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)

A) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)
B) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)
C) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)
D) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)
E) <strong>Perform the operation. Do not use negative exponents in the answer.  </strong> A)   B)   C)   D)   E)
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64
Simplify: <strong>Simplify:  </strong> A)   B)   C) not a real number D)

A) <strong>Simplify:  </strong> A)   B)   C) not a real number D)
B) <strong>Simplify:  </strong> A)   B)   C) not a real number D)
C) not a real number
D) <strong>Simplify:  </strong> A)   B)   C) not a real number D)
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65
The formula <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft relates the speed <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft (in mph) of a car and the distance <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft of the skid when a driver hits the brakes. On wet pavement, <strong>The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?</strong> A) about 215 ft B) about 272 ft C) about 238 ft D) about 193 ft E) about 226 ft . How far will a car skid if it is going 50 mph?

A) about 215 ft
B) about 272 ft
C) about 238 ft
D) about 193 ft
E) about 226 ft
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66
Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).

A) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)
B) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)
C) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)
D) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)
E) <strong>Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).</strong> A)   B)   C)   D)   E)
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67
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E)
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68
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
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69
Simplify the expression. <strong>Simplify the expression.  </strong> A) 49 B)   C) 6 D) 36 E) 81

A) 49
B) <strong>Simplify the expression.  </strong> A) 49 B)   C) 6 D) 36 E) 81
C) 6
D) 36
E) 81
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70
Simplify: <strong>Simplify:  </strong> A) 2 B) 74 C) 8 D) 28

A) 2
B) 74
C) 8
D) 28
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71
Evaluate the expression. <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real

A) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
B) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
C) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
D) <strong>Evaluate the expression.  </strong> A)   B)   C)   D)   E) not real
E) not real
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72
Solve the equation. Check all solutions. <strong>Solve the equation. Check all solutions.  </strong> A) 125 B) 250 C) 5 D) 123 E) no solution

A) 125
B) 250
C) 5
D) 123
E) no solution
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73
Find the distance between the two points. (11, 14) and (-4, -4)

A) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)
B) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)
C) 61
D) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)
E) <strong>Find the distance between the two points. (11, 14) and (-4, -4)</strong> A)   B)   C) 61 D)   E)
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74
Find the distance between two points. (-1, 4) and (5, 12)

A) 10
B) 15
C) 13
D) 7
E) 8
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75
The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364 . If the satellite's orbital speed is <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364 meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter. <strong>The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.  </strong> A) 3,173 B) 11,186 C) 10,073,164 D) 10,078,964 E) 10,067,364

A) 3,173
B) 11,186
C) 10,073,164
D) 10,078,964
E) 10,067,364
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76
The number of wrenches that can be produced at a given price can be predicted by the formula <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above , where <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above is the supply (in thousands) and <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above is the price (in dollars). If the demand <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above for the wrenches can be predicted by the formula <strong>The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.</strong> A) $5 B) $4 C) $3 D) None of the above , find the equilibrium price.

A) $5
B) $4
C) $3
D) None of the above
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77
Solve the equation. Write all solutions and then indicate which of those solutions are extraneous. <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)

A) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   is extraneous
B) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)   is extraneous
C) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)
D) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)
E) <strong>Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.  </strong> A)   is extraneous B)   is extraneous C)   D)   E)
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78
Simplify the expression. <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression.  </strong> A)   B)   C)   D)   E)
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