Question 1

Multiply.
-(x - 10)(-2x + 6)

Accepted Answer

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

Question 2

Factor by grouping.
-

Accepted Answer

A)  (20x + 2y)(x + 3y) 
B)  (5x + 2y)(4x + 3y) 
C)  (5x - 2y)(4x + 3y) 
D)  (5x + 2)(4x + 3) 
A)  (20x + 2y)(x + 3y) 
B)  (5x + 2y)(4x + 3y) 
C)  (5x - 2y)(4x + 3y) 
D)  (5x + 2)(4x + 3)

Question 3

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF.
-

Accepted Answer

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

Question 4

Use the properties of opposites to complete the equation.
-  = _____

Accepted Answer

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

Question 5

Perform the indicated operation and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  z + 2 
A)    
B)    
C)    
D)  z + 2

Question 6

Factor the special product.
-

Accepted Answer

A)  (36x + 1)(x - 49) 
B)    
C)  (6x + 7)(6x - 7) 
D)    
A)  (36x + 1)(x - 49) 
B)    
C)  (6x + 7)(6x - 7) 
D)

Question 7

Evaluate the polynomial.
-P(x) = -   + 4x - 6, P( 2)

Accepted Answer

A)  -28 
B)  -8 
C)  -22 
D)  -18 
A)  -28 
B)  -8 
C)  -22 
D)  -18

Question 8

Use the order of operations to evaluate the expression.
-2 +   - (-4) ·2

Accepted Answer

A)  4 
B)  20 
C)  14 
D)  -2 
A)  4 
B)  20 
C)  14 
D)  -2

Question 9

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 10

Evaluate the expression for the given values.
-  , if a = 7 and b = 4

Accepted Answer

A)  -33 
B)  33 
C)  65 
D)  6 
A)  -33 
B)  33 
C)  65 
D)  6

Question 11

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

Accepted Answer

A)  0 
B)  -1.5 
C)  1.5 
D)  None of the above 
A)  0 
B)  -1.5 
C)  1.5 
D)  None of the above

Question 12

Factor by grouping.
-

Accepted Answer

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

Question 13

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 14

Multiply.
-(-1 + 3x)(8 + 3x)

Accepted Answer

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

Question 15

Find the product.
-(x + 4 )(x - 4 )

Accepted Answer

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

Question 16

Complete the statement using the indicated property.
-4x - 8 = ______ , distributive

Accepted Answer

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

Question 17

Multiply.
-(5x + 2)(x + 8)

Accepted Answer

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

Question 18

Evaluate.
-

Accepted Answer

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

Question 19

Use the order of operations to evaluate the expression.
-84 - 7 ·3 + 96 ÷ (-16)

Accepted Answer

A)  -11 
B)  57 
C)  -476 
D)  225 
A)  -11 
B)  57 
C)  -476 
D)  225

Question 20

Factor by grouping.
-

Accepted Answer

A)  (24x + 3)(x - 5) 
B)  (4x + 3)(6x - 5) 
C)  (24x - 3)(x + 5) 
D)  (4x - 3)(6x + 5) 
A)  (24x + 3)(x - 5) 
B)  (4x + 3)(6x - 5) 
C)  (24x - 3)(x + 5) 
D)  (4x - 3)(6x + 5)

Multiply. -(x - 10)(-2x + 6)

Factor by grouping. -

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -

Use the properties of opposites to complete the equation. - = _____

Perform the indicated operation and simplify. -

Factor the special product. -

Evaluate the polynomial. -P(x) = - + 4x - 6, P( 2)

Use the order of operations to evaluate the expression. -2 + - (-4) ·2

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

Evaluate the expression for the given values. - , if a = 7 and b = 4

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

Factor by grouping. -

Perform the indicated operation and express in lowest terms. -

Multiply. -(-1 + 3x)(8 + 3x)

Find the product. -(x + 4 )(x - 4 )

Complete the statement using the indicated property. -4x - 8 = ______ , distributive

Multiply. -(5x + 2)(x + 8)

Evaluate. -

Use the order of operations to evaluate the expression. -84 - 7 ·3 + 96 ÷ (-16)

Factor by grouping. -

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Exam 12: Basic Algebra Review

Multiply. -(x - 10)(-2x + 6)

Factor by grouping. -

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -

Use the properties of opposites to complete the equation. - = _____

Perform the indicated operation and simplify. -

Factor the special product. -

Evaluate the polynomial. -P(x) = - + 4x - 6, P( 2)

Use the order of operations to evaluate the expression. -2 + - (-4) ·2

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

Evaluate the expression for the given values. - , if a = 7 and b = 4

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

Factor by grouping. -

Perform the indicated operation and express in lowest terms. -

Multiply. -(-1 + 3x)(8 + 3x)

Find the product. -(x + 4 )(x - 4 )

Complete the statement using the indicated property. -4x - 8 = ______ , distributive

Multiply. -(5x + 2)(x + 8)

Evaluate. -

Use the order of operations to evaluate the expression. -84 - 7 ·3 + 96 ÷ (-16)

Factor by grouping. -

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