Question 1

Use the properties of real numbers to simplify the expression.
-(1 - 4x) + (8x + 6)

Accepted Answer

A)  4x + 5 
B)  -4x + 7 
C)  8x + 7 
D)  4x + 7 
A)  4x + 5 
B)  -4x + 7 
C)  8x + 7 
D)  4x + 7

Question 2

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 3

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 4

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

Accepted Answer

A)  12, -7, 0, 2.7183 
B)  12, -7, 0 
C)    
D)    
A)  12, -7, 0, 2.7183 
B)  12, -7, 0 
C)    
D)

Question 5

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 6

Use the order of operations to evaluate the expression.
-  (-5 + 10)

Accepted Answer

A)  -4305 
B)  -205 
C)  -20 
D)  95 
A)  -4305 
B)  -205 
C)  -20 
D)  95

Question 7

Factor by grouping.
-1

Accepted Answer

A)  (5x + 3)(2x - 3) 
B)  (5x - 3)(2x + 3) 
C)  (10x - 3)(x + 3) 
D)  (10x + 3)(x - 3) 
A)  (5x + 3)(2x - 3) 
B)  (5x - 3)(2x + 3) 
C)  (10x - 3)(x + 3) 
D)  (10x + 3)(x - 3)

Question 8

Find the degree and leading coefficient of the polynomial.
-

Accepted Answer

A)  Degree: 3; leading coefficient: 9 
B)  Degree: 9; leading coefficient: 9 
C)  Degree: 4; leading coefficient: -8 
D)  Degree: 9; leading coefficient: 1 
A)  Degree: 3; leading coefficient: 9 
B)  Degree: 9; leading coefficient: 9 
C)  Degree: 4; leading coefficient: -8 
D)  Degree: 9; leading coefficient: 1

Question 9

Evaluate the expression for the given values.
-  , if a = 2, b = -4, and c = 3

Accepted Answer

A)  361 
B)  169 
C)  38 
D)  -361 
A)  361 
B)  169 
C)  38 
D)  -361

Question 10

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

Accepted Answer

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

Question 11

Factor by grouping.
-

Accepted Answer

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

Question 12

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 13

Evaluate the expression without a calculator.
-4-3

Accepted Answer

A)    
B)  64 
C)    
D)  -64 
A)    
B)  64 
C)    
D)  -64

Question 14

Evaluate the expression without a calculator.
-

Accepted Answer

A)  2 
B)    
C)    
D)    
A)  2 
B)    
C)    
D)

Question 15

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

Accepted Answer

A)  25 
B)  -4 
C)  -9 
D)  -8 
A)  25 
B)  -4 
C)  -9 
D)  -8

Question 16

Simplify the expression by rationalizing the denominator.
-

Accepted Answer

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

Question 17

Evaluate the polynomial.
-P(x) =   - x - 8 , P(-4)

Accepted Answer

A)  -48 
B)  -36 
C)  -156 
D)  -46 
A)  -48 
B)  -36 
C)  -156 
D)  -46

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Perform the operation indicated.
-Subtract:

Accepted Answer

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

Use the properties of real numbers to simplify the expression. -(1 - 4x) + (8x + 6)

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

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

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

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

Use the order of operations to evaluate the expression. - (-5 + 10)

Factor by grouping. -1

Find the degree and leading coefficient of the polynomial. -

Evaluate the expression for the given values. - , if a = 2, b = -4, and c = 3

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

Factor by grouping. -

Perform the indicated operation and express in lowest terms. -

Evaluate the expression without a calculator. -4-3

Evaluate the expression without a calculator. -

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

Simplify the expression by rationalizing the denominator. -

Evaluate the polynomial. -P(x) = - x - 8 , P(-4)

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

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

Perform the operation indicated. -Subtract:

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

Use the properties of real numbers to simplify the expression. -(1 - 4x) + (8x + 6)

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

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

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

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

Use the order of operations to evaluate the expression. - (-5 + 10)

Factor by grouping. -1

Find the degree and leading coefficient of the polynomial. -

Evaluate the expression for the given values. - , if a = 2, b = -4, and c = 3

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

Factor by grouping. -

Perform the indicated operation and express in lowest terms. -

Evaluate the expression without a calculator. -4-3

Evaluate the expression without a calculator. -

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

Simplify the expression by rationalizing the denominator. -

Evaluate the polynomial. -P(x) = - x - 8 , P(-4)

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

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

Perform the operation indicated. -Subtract:

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