Question 1

Factor the polynomial completely.
-

Accepted Answer

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

Question 2

Use the distributive property to find the product.
-(x - 9y)(x + 6y)

Accepted Answer

A)    
B)    
C)    
D)  x - 3xy - 54y 
A)    
B)    
C)    
D)  x - 3xy - 54y A

Question 3

Reduce the rational expression to lowest terms.
-

Accepted Answer

A)  4 
B)  1 
C)    
D)    
A)  4 
B)  1 
C)    
D)    D

Question 4

Simplify the expression by rationalizing the denominator.
-

Accepted Answer

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

Question 5

Find the least common denominator.
-

Accepted Answer

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

Question 6

Evaluate the expression for the given values.
-  , if a = -3 and b = 6

Accepted Answer

A)  6 
B)  -6 
C)  -9 
D)  9 
A)  6 
B)  -6 
C)  -9 
D)  9

Question 7

Evaluate the expression without a calculator.
-

Accepted Answer

A)  8 
B)  - 8 
C)    
D)    
A)  8 
B)  - 8 
C)    
D)

Question 8

Factor by grouping.
-

Accepted Answer

A)  (2x + 5)(4x - 3) 
B)  (8x + 5y)(x - 3y) 
C)  (2x - 5y)(4x - 3y) 
D)  (2x + 5y)(4x - 3y) 
A)  (2x + 5)(4x - 3) 
B)  (8x + 5y)(x - 3y) 
C)  (2x - 5y)(4x - 3y) 
D)  (2x + 5y)(4x - 3y)

Question 9

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 10

Factor the trinomial.
-

Accepted Answer

A)  (x + 5)(5x - 3) 
B)  (3 - 5x)(5x - 3) 
C)  (x - 5)(5x - 3) 
D)  (5x + 12)(5x - 3) 
A)  (x + 5)(5x - 3) 
B)  (3 - 5x)(5x - 3) 
C)  (x - 5)(5x - 3) 
D)  (5x + 12)(5x - 3)

Question 11

Evaluate the polynomial.
-P(x) = 9x + 2, P( 8)

Accepted Answer

A)  70 
B)  74 
C)  144 
D)  11 
A)  70 
B)  74 
C)  144 
D)  11

Question 12

Evaluate the expression for the given values.
-  , if a = -4 and c = 5

Accepted Answer

A)  41 
B)  -41 
C)  9 
D)  2 
A)  41 
B)  -41 
C)  9 
D)  2

Question 13

Factor the polynomial completely.
-

Accepted Answer

A)    
B)  Does not factor 
C)    
D)    
A)    
B)  Does not factor 
C)    
D)

Question 14

Find the product.
-

Accepted Answer

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

Question 15

Write rational exponents in radical notation and radicals in rational exponential notation.
--

Accepted Answer

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

Question 16

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF.
-15wx - 12wy - 12wz

Accepted Answer

A)  3w(5x - 12wy - 12wz) 
B)  3w(5x - 4y - 4z) 
C)  3(5wx - 4wy - 4wz) 
D)  15w(x - 12y - 12z) 
A)  3w(5x - 12wy - 12wz) 
B)  3w(5x - 4y - 4z) 
C)  3(5wx - 4wy - 4wz) 
D)  15w(x - 12y - 12z)

Question 17

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 18

Complete the statement using the indicated property.
-2(5y) = ______ , associative

Accepted Answer

A)  (2 · 5) y 
B)  5(y · 2) 
C)  2(y · 5) 
D)  (5y) · 2 
A)  (2 · 5) y 
B)  5(y · 2) 
C)  2(y · 5) 
D)  (5y) · 2

Question 19

Use the distributive property to find the product.
-

Accepted Answer

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

Question 20

Use the properties of real numbers to simplify the expression.
--7x - (-5x)

Accepted Answer

A)  -2x 
B)  2x 
C)  -7x 
D)  -2 
A)  -2x 
B)  2x 
C)  -7x 
D)  -2

Factor the polynomial completely. -

Use the distributive property to find the product. -(x - 9y)(x + 6y)

Reduce the rational expression to lowest terms. -

Simplify the expression by rationalizing the denominator. -

Find the least common denominator. -

Evaluate the expression for the given values. - , if a = -3 and b = 6

Evaluate the expression without a calculator. -

Factor by grouping. -

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

Factor the trinomial. -

Evaluate the polynomial. -P(x) = 9x + 2, P( 8)

Evaluate the expression for the given values. - , if a = -4 and c = 5

Factor the polynomial completely. -

Find the product. -

Write rational exponents in radical notation and radicals in rational exponential notation. --

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -15wx - 12wy - 12wz

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

Complete the statement using the indicated property. -2(5y) = ______ , associative

Use the distributive property to find the product. -

Use the properties of real numbers to simplify the expression. --7x - (-5x)

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. -

Use the distributive property to find the product. -(x - 9y)(x + 6y)

Reduce the rational expression to lowest terms. -

Simplify the expression by rationalizing the denominator. -

Find the least common denominator. -

Evaluate the expression for the given values. - , if a = -3 and b = 6

Evaluate the expression without a calculator. -

Factor by grouping. -

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

Factor the trinomial. -

Evaluate the polynomial. -P(x) = 9x + 2, P( 8)

Evaluate the expression for the given values. - , if a = -4 and c = 5

Factor the polynomial completely. -

Find the product. -

Write rational exponents in radical notation and radicals in rational exponential notation. --

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -15wx - 12wy - 12wz

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

Complete the statement using the indicated property. -2(5y) = ______ , associative

Use the distributive property to find the product. -

Use the properties of real numbers to simplify the expression. --7x - (-5x)

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