Question 1

Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of the above 
A)    
B)    
C)    
D)    
E)  none of the above

Question 2

Find the cube root. Give the answer to the nearest hundredth.

Accepted Answer

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

Question 3

Find the following product and express your answer in simplest radical form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Solve the equation. Check all solutions.

Accepted Answer

A)  17 
B)  16 
C)  4 
D)  19 
E)  no solution 
A)  17 
B)  16 
C)  4 
D)  19 
E)  no solution

Question 6

Simplify:

Accepted Answer

A)    
B)    
C)  not a real number 
D)    
A)    
B)    
C)  not a real number 
D)

Question 7

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.

Accepted Answer

A)    
B)  24 cu. ft. 
C)  16 cu. ft. 
D)  8 cu. ft. 
E)  none of the above 
A)    
B)  24 cu. ft. 
C)  16 cu. ft. 
D)  8 cu. ft. 
E)  none of the above

Question 8

Use the distributive property to help simplify the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

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.

Accepted Answer

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

Question 10

Use the distributive property to help simplify the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Find the following product and express your answer in simplest radical form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Find the distance between the two points. (11, 14) and (-4, -4)

Accepted Answer

A)    
B)    
C)  61 
D)    
E)    
A)    
B)    
C)  61 
D)    
E)

Question 13

Use a calculator to find the cube root to the nearest hundredth.

Accepted Answer

A)    5.94 
B)  14.46 
C)  5.94 
D)  14.49 
E)  none of the above 
A)    5.94 
B)  14.46 
C)  5.94 
D)  14.49 
E)  none of the above

Question 14

Simplify:

Accepted Answer

A)  2 
B)  74 
C)  8 
D)  28 
A)  2 
B)  74 
C)  8 
D)  28

Question 15

Evaluate the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)  not real 
A)    
B)    
C)    
D)    
E)  not real

Question 16

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Simplify the expression. Assume that all variables represent positive numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Is the number   rational, irrational, or imaginary?

Accepted Answer

A)  irrational 
B)  imaginary 
C)  rational 
A)  irrational 
B)  imaginary 
C)  rational

Question 19

Solve the equation. Check all solutions.

Accepted Answer

A)  51 
B)  102 
C)  4 
D)  54 
E)  no solution 
A)  51 
B)  102 
C)  4 
D)  54 
E)  no solution

Question 20

Multiply and simplify where possible.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.

Find the cube root. Give the answer to the nearest hundredth.

Find the following product and express your answer in simplest radical form.

Graph the function.

Solve the equation. Check all solutions.

Simplify:

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.

Use the distributive property to help simplify the expression.

Use the distributive property to help simplify the expression.

Find the following product and express your answer in simplest radical form.

Find the distance between the two points. (11, 14) and (-4, -4)

Use a calculator to find the cube root to the nearest hundredth.

Simplify:

Evaluate the expression.

Graph the function.

Simplify the expression. Assume that all variables represent positive numbers.

Is the number rational, irrational, or imaginary?

Solve the equation. Check all solutions.

Multiply and simplify where possible.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters

Exam 8: Roots, Radical Expressions, and Radical Equations

Find the area of the isosceles triangle shown in the illustration, where a = 11 and b = 10.

Find the cube root. Give the answer to the nearest hundredth.

Find the following product and express your answer in simplest radical form.

Graph the function.

Solve the equation. Check all solutions.

Simplify:

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.

Use the distributive property to help simplify the expression.

Use the distributive property to help simplify the expression.

Find the following product and express your answer in simplest radical form.

Find the distance between the two points. (11, 14) and (-4, -4)

Use a calculator to find the cube root to the nearest hundredth.

Simplify:

Evaluate the expression.

Graph the function.

Simplify the expression. Assume that all variables represent positive numbers.

Is the number rational, irrational, or imaginary?

Solve the equation. Check all solutions.

Multiply and simplify where possible.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters