Question 1

Simplify the expression.

Accepted Answer

A)  25 
B)    
C)  4 
D)  16 
E)  81 
A)  25 
B)    
C)  4 
D)  16 
E)  81 D

Question 2

Solve the equation. Check all solutions.

Accepted Answer

A)  29 
B)  25 
C)  5 
D)  31 
E)  no solution 
A)  29 
B)  25 
C)  5 
D)  31 
E)  no solution A

Question 3

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Accepted Answer

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

Question 4

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 5

Write   in terms of i , perform the indicated operations, and simplify.

Accepted Answer

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

Question 6

Solve the equation. Check all solutions.

Accepted Answer

A)  7 
B)    7 
C)  0 
D)    7, 7 
E)  0 is extraneous 
A)  7 
B)    7 
C)  0 
D)    7, 7 
E)  0 is extraneous

Question 7

Solve the equation. Check all solutions.

Accepted Answer

A)  x = 12, x = - 9 is extraneous 
B)  x = 82, x = - 82 is extraneous 
C)  x = 12, x = -   is extraneous 
D)  x =   , x = -   
E)  x = 12, x = - 9 
A)  x = 12, x = - 9 is extraneous 
B)  x = 82, x = - 82 is extraneous 
C)  x = 12, x = -   is extraneous 
D)  x =   , x = -   
E)  x = 12, x = - 9

Question 8

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

Accepted Answer

A)    
B)  8   
C)  64 z 2 
D)    
A)    
B)  8   
C)  64 z 2 
D)

Question 9

Write the expression in a + bi form.

Accepted Answer

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

Question 10

Simplify the expression. All variables represent positive real numbers.

Accepted Answer

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

Question 11

Simplify the radical.

Accepted Answer

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

Question 12

Simplify the expression. Enter the answer in a + bi form.

Accepted Answer

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

Question 13

Simplify the expression.

Accepted Answer

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

Question 14

Simplify:

Accepted Answer

The answer of Simplify:  ...

Question 15

Multiply and simplify where possible.

Accepted Answer

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

Question 16

Simplify the exponential expression.

Accepted Answer

A)  |u - 3| 
B)  u - 3 
C)  u 2 - 9 
D)  not a real number 
A)  |u - 3| 
B)  u - 3 
C)  u 2 - 9 
D)  not a real number

Question 17

Simplify the expression.

Accepted Answer

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

Question 18

Solve the formula for an indicated variable.

Accepted Answer

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

Question 19

Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.

Accepted Answer

A)    is extraneous 
B)    is extraneous 
C)    
D)    
E)    
A)    is extraneous 
B)    is extraneous 
C)    
D)    
E)

Question 20

Rationalize the denominator and simplify. The variables represent positive real numbers.

Accepted Answer

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

Simplify the expression.

Solve the equation. Check all solutions.

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

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

Write in terms of i , perform the indicated operations, and simplify.

Solve the equation. Check all solutions.

Solve the equation. Check all solutions.

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

Write the expression in a + bi form.

Simplify the expression. All variables represent positive real numbers.

Simplify the radical.

Simplify the expression. Enter the answer in a + bi form.

Simplify the expression.

Simplify:

Multiply and simplify where possible.

Simplify the exponential expression.

Simplify the expression.

Solve the formula for an indicated variable.

Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.

Rationalize the denominator and simplify. The variables represent positive real numbers.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 7: Radical Expressions and Equations

Simplify the expression.

Solve the equation. Check all solutions.

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

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

Write in terms of i , perform the indicated operations, and simplify.

Solve the equation. Check all solutions.

Solve the equation. Check all solutions.

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

Write the expression in a + bi form.

Simplify the expression. All variables represent positive real numbers.

Simplify the radical.

Simplify the expression. Enter the answer in a + bi form.

Simplify the expression.

Simplify:

Multiply and simplify where possible.

Simplify the exponential expression.

Simplify the expression.

Solve the formula for an indicated variable.

Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.

Rationalize the denominator and simplify. The variables represent positive real numbers.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters