Question 1

Factor the polynomial completely.
-

Accepted Answer

A)  (21x + 14)(x - 5) 
B)  7(3x - 2)(x + 5) 
C)  (3x + 2)(7x - 35) 
D)  7(3x + 2)(x - 5) 
A)  (21x + 14)(x - 5) 
B)  7(3x - 2)(x + 5) 
C)  (3x + 2)(7x - 35) 
D)  7(3x + 2)(x - 5)

Question 2

Factor the polynomial completely.
-

Accepted Answer

A)  Does not factor 
B)  (9x - 12y)(3x + 4y) 
C)  3(3x - 4y)(3x + 4y) 
D)  (3x - 4y)(9x + 12y) 
A)  Does not factor 
B)  (9x - 12y)(3x + 4y) 
C)  3(3x - 4y)(3x + 4y) 
D)  (3x - 4y)(9x + 12y)

Question 3

Evaluate the expression.
-

Accepted Answer

A)  45 
B)  22.5 
C)  90 
D)  180 
A)  45 
B)  22.5 
C)  90 
D)  180

Question 4

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

Accepted Answer

A)  2 
B)  0 
C)  -2 
D)  None of the above 
A)  2 
B)  0 
C)  -2 
D)  None of the above

Question 5

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 6

Find the degree and leading coefficient of the polynomial.
-  - 9x + 5

Accepted Answer

A)  Degree: 19; leading coefficient: 8 
B)  Degree: 9; leading coefficient: 19 
C)  Degree: 8; leading coefficient: 19 
D)  Degree: 10; leading coefficient: 19 
A)  Degree: 19; leading coefficient: 8 
B)  Degree: 9; leading coefficient: 19 
C)  Degree: 8; leading coefficient: 19 
D)  Degree: 10; leading coefficient: 19

Question 7

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 8

Reduce the rational expression to lowest terms.
-

Accepted Answer

A)    
B)    
C)    
D)  9mp 
A)    
B)    
C)    
D)  9mp

Question 9

Perform the indicated operation and simplify.
-

Accepted Answer

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

Question 10

Perform the indicated operation and simplify.
-

Accepted Answer

A)    
B)    
C)  z - 4 
D)    
A)    
B)    
C)  z - 4 
D)

Question 11

Simplify the expression by rationalizing the denominator.
-

Accepted Answer

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

Question 12

Factor the sum or difference of two cubes.
-

Accepted Answer

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

Question 13

Perform the operation indicated.
-

Accepted Answer

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

Question 14

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real
numbers.
-

Accepted Answer

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

Question 15

Find the least common denominator.
-

Accepted Answer

A)    
B)    
C)  m(m - 4)(m - 2) 
D)  m(m - 2)(m - 2) 
A)    
B)    
C)  m(m - 4)(m - 2) 
D)  m(m - 2)(m - 2)

Question 16

Perform the operation indicated.
-

Accepted Answer

A)    
B)  -34q - 10q - 6 
C)    
D)    
A)    
B)  -34q - 10q - 6 
C)    
D)

Question 17

Find the least common denominator.
-

Accepted Answer

A)    
B)    
C)  8a - 6 
D)  8a(a - 6) 
A)    
B)    
C)  8a - 6 
D)  8a(a - 6)

Question 18

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 19

Use the distributive property to find the product.
-

Accepted Answer

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

Question 20

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

Accepted Answer

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

Factor the polynomial completely. -

Factor the polynomial completely. -

Evaluate the expression. -

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

Perform the indicated operation and express in lowest terms. -

Find the degree and leading coefficient of the polynomial. - - 9x + 5

Perform the indicated operation and simplify. -

Reduce the rational expression to lowest terms. -

Perform the indicated operation and simplify. -

Perform the indicated operation and simplify. -

Simplify the expression by rationalizing the denominator. -

Factor the sum or difference of two cubes. -

Perform the operation indicated. -

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real numbers. -

Find the least common denominator. -

Perform the operation indicated. -

Find the least common denominator. -

Perform the indicated operation and express in lowest terms. -

Use the distributive property to find the product. -

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

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

Factor the polynomial completely. -

Factor the polynomial completely. -

Evaluate the expression. -

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

Perform the indicated operation and express in lowest terms. -

Find the degree and leading coefficient of the polynomial. - - 9x + 5

Perform the indicated operation and simplify. -

Reduce the rational expression to lowest terms. -

Perform the indicated operation and simplify. -

Perform the indicated operation and simplify. -

Simplify the expression by rationalizing the denominator. -

Factor the sum or difference of two cubes. -

Perform the operation indicated. -

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real numbers. -

Find the least common denominator. -

Perform the operation indicated. -

Find the least common denominator. -

Perform the indicated operation and express in lowest terms. -

Use the distributive property to find the product. -

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

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