Question 1

Is the number   rational, irrational, or imaginary?

Accepted Answer

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

Question 2

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.

Accepted Answer

A)  $5 
B)  $4 
C)  $3 
D)  None of the above 
A)  $5 
B)  $4 
C)  $3 
D)  None of the above

Question 3

Multiply and simplify where possible.

Accepted Answer

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

Question 4

Find the value.

Accepted Answer

A)  -9 
B)  9 
C)    
D)  - 1 
E)  1 
A)  -9 
B)  9 
C)    
D)  - 1 
E)  1

Question 5

Rationalize the denominator and simplify.

Accepted Answer

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

Question 6

Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).

Accepted Answer

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

Question 7

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?

Accepted Answer

A)  about 215 ft 
B)  about 272 ft 
C)  about 238 ft 
D)  about 193 ft 
E)  about 226 ft 
A)  about 215 ft 
B)  about 272 ft 
C)  about 238 ft 
D)  about 193 ft 
E)  about 226 ft

Question 8

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

Accepted Answer

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

Question 9

Solve the equation.

Accepted Answer

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

Question 10

Evaluate the expression.

Accepted Answer

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

Question 11

Rationalize the denominator and simplify. The variable represents a positive real number.

Accepted Answer

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

Question 12

Simplify the expression.

Accepted Answer

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

Question 13

Find the value without using a calculator.

Accepted Answer

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

Question 14

Solve the equation. Check all solutions.

Accepted Answer

A)  86 
B)  111 
C)  88 
D)  77 
E)  no solution 
A)  86 
B)  111 
C)  88 
D)  77 
E)  no solution

Question 15

Evaluate the expression.

Accepted Answer

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

Question 16

Express the following expression in simplest radical form. All variables represent positive real numbers.

Accepted Answer

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

Question 17

Solve the equation. Check all solutions.

Accepted Answer

A)  81 
B)  41 
C)  9 
D)  79 
E)  no solution 
A)  81 
B)  41 
C)  9 
D)  79 
E)  no solution

Question 18

Write the quotient as the quotient of two radicals and simplify.

Accepted Answer

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

Is the number rational, irrational, or imaginary?

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.

Multiply and simplify where possible.

Find the value.

Rationalize the denominator and simplify.

Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).

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?

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

Solve the equation.

Evaluate the expression.

Rationalize the denominator and simplify. The variable represents a positive real number.

Simplify the expression.

Find the value without using a calculator.

Solve the equation. Check all solutions.

Evaluate the expression.

Express the following expression in simplest radical form. All variables represent positive real numbers.

Solve the equation. Check all solutions.

Write the quotient as the quotient of two radicals and simplify.

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

Is the number rational, irrational, or imaginary?

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.

Multiply and simplify where possible.

Find the value.

Rationalize the denominator and simplify.

Find the distance between points P and Q , where P (2, 6) and Q (-1, -10).

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?

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

Solve the equation.

Evaluate the expression.

Rationalize the denominator and simplify. The variable represents a positive real number.

Simplify the expression.

Find the value without using a calculator.

Solve the equation. Check all solutions.

Evaluate the expression.

Express the following expression in simplest radical form. All variables represent positive real numbers.

Solve the equation. Check all solutions.

Write the quotient as the quotient of two radicals and simplify.

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