Question 1

Convert the first rational expression into an equivalent one that has the indicated denominator.
-

Accepted Answer

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

Question 2

Use the symbolic definition of absolute value to simplify the expression.
-

Accepted Answer

A)    
B)  5 
C)    
D)  None of the above 
A)    
B)  5 
C)    
D)  None of the above

Question 3

Simplify the expression. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)  6 
C)    
D)  8 
A)    
B)  6 
C)    
D)  8

Question 4

Evaluate the expression.
-

Accepted Answer

A)  128 
B)  32 
C)  16 
D)  64 
A)  128 
B)  32 
C)  16 
D)  64

Question 5

Find the product.
-

Accepted Answer

A)    
B)  9 
C)  -3 
D)  -1 
A)    
B)  9 
C)  -3 
D)  -1

Question 6

Find the domain of the rational expression.
-

Accepted Answer

A)    
B)  All real numbers 
C)    
D)    
A)    
B)  All real numbers 
C)    
D)

Question 7

Factor the sum or difference of two cubes.
-

Accepted Answer

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

Question 8

Complete the statement using the indicated property.
-5 +   0, additive inverse

Accepted Answer

A)  0 
B)    
C)  5 
D)  -5 
A)  0 
B)    
C)  5 
D)  -5

Question 9

Factor by grouping.
-

Accepted Answer

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

Question 10

Find the product.
-

Accepted Answer

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

Question 11

Find the quotient and remainder when the first polynomial is divided by the second.
-

Accepted Answer

A)    
B)  x - 5 , 0 
C)    
D)    
A)    
B)  x - 5 , 0 
C)    
D)

Question 12

Use the order of operations to evaluate the expression.
-17 + 25 ·15 + 9

Accepted Answer

A)  66 
B)  1008 
C)  639 
D)  401 
A)  66 
B)  1008 
C)  639 
D)  401

Question 13

Simplify the expression. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 14

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.
-

Accepted Answer

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

Question 15

Use the properties of real numbers to simplify the expression.
-3(3x + 5) - 4(3x - 1)

Accepted Answer

A)  -3x + 19 
B)  21x + 19 
C)  -3x - 19 
D)  -3x + 11 
A)  -3x + 19 
B)  21x + 19 
C)  -3x - 19 
D)  -3x + 11

Question 16

Find the specified subset.
-The irrational numbers in the set

Accepted Answer

A)  13, -24, 0.81, 5.1414 . . . 
B)    
C)    
D)    
A)  13, -24, 0.81, 5.1414 . . . 
B)    
C)    
D)

Question 17

Evaluate the expression.
-

Accepted Answer

A)  16,807 
B)  28 
C)  196 
D)  7 
A)  16,807 
B)  28 
C)  196 
D)  7

Question 18

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 19

Evaluate the expression without a calculator.
-

Accepted Answer

A)  0 
B)  -2 
C)  -7 
D)  1 
A)  0 
B)  -2 
C)  -7 
D)  1

Question 20

Complete the statement using the indicated property.
--4(x + 2) = ______ , distributive

Accepted Answer

A)  -4x + 2 
B)  x - 8 
C)  -4x - 8 
D)  4x - 8 
A)  -4x + 2 
B)  x - 8 
C)  -4x - 8 
D)  4x - 8

Convert the first rational expression into an equivalent one that has the indicated denominator. -

Use the symbolic definition of absolute value to simplify the expression. -

Simplify the expression. Assume all variables represent positive real numbers. -

Evaluate the expression. -

Find the product. -

Find the domain of the rational expression. -

Factor the sum or difference of two cubes. -

Complete the statement using the indicated property. -5 + 0, additive inverse

Factor by grouping. -

Find the product. -

Find the quotient and remainder when the first polynomial is divided by the second. -

Use the order of operations to evaluate the expression. -17 + 25 ·15 + 9

Simplify the expression. Assume all variables represent positive real numbers. -

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers. -

Use the properties of real numbers to simplify the expression. -3(3x + 5) - 4(3x - 1)

Find the specified subset. -The irrational numbers in the set

Evaluate the expression. -

Perform the indicated operation and express in lowest terms. -

Evaluate the expression without a calculator. -

Complete the statement using the indicated property. --4(x + 2) = ______ , distributive

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

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Exam 12: Basic Algebra Review

Convert the first rational expression into an equivalent one that has the indicated denominator. -

Use the symbolic definition of absolute value to simplify the expression. -

Simplify the expression. Assume all variables represent positive real numbers. -

Evaluate the expression. -

Find the product. -

Find the domain of the rational expression. -

Factor the sum or difference of two cubes. -

Complete the statement using the indicated property. -5 + 0, additive inverse

Factor by grouping. -

Find the product. -

Find the quotient and remainder when the first polynomial is divided by the second. -

Use the order of operations to evaluate the expression. -17 + 25 ·15 + 9

Simplify the expression. Assume all variables represent positive real numbers. -

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers. -

Use the properties of real numbers to simplify the expression. -3(3x + 5) - 4(3x - 1)

Find the specified subset. -The irrational numbers in the set

Evaluate the expression. -

Perform the indicated operation and express in lowest terms. -

Evaluate the expression without a calculator. -

Complete the statement using the indicated property. --4(x + 2) = ______ , distributive

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Filters