Question 1

Find the degree and leading coefficient of the polynomial.
-

Accepted Answer

A)  Degree: 4; leading coefficient: 7 
B)  Degree: 14; leading coefficient: 7 
C)  Degree: 4; leading coefficient: 14 
D)  Degree: 3; leading coefficient: -7 
A)  Degree: 4; leading coefficient: 7 
B)  Degree: 14; leading coefficient: 7 
C)  Degree: 4; leading coefficient: 14 
D)  Degree: 3; leading coefficient: -7

Question 2

Find the degree and leading coefficient of the polynomial.
-

Accepted Answer

A)  Degree: 3; leading coefficient: 11 
B)  Degree: 5; leading coefficient: 11 
C)  Degree: 11; leading coefficient: 5 
D)  Degree: 12; leading coefficient: 11 
A)  Degree: 3; leading coefficient: 11 
B)  Degree: 5; leading coefficient: 11 
C)  Degree: 11; leading coefficient: 5 
D)  Degree: 12; leading coefficient: 11

Question 3

Evaluate the expression.
-

Accepted Answer

A)  65,536 
B)  262,144 
C)  16,384 
D)  1024 
A)  65,536 
B)  262,144 
C)  16,384 
D)  1024

Question 4

Factor the trinomial.
-

Accepted Answer

A)  (20y + 1)(y - 9) 
B)  (4y - 3)(5y - 3) 
C)  (4y + 3)(5y + 3) 
D)  (20y + 3)(y + 3) 
A)  (20y + 1)(y - 9) 
B)  (4y - 3)(5y - 3) 
C)  (4y + 3)(5y + 3) 
D)  (20y + 3)(y + 3)

Question 5

Use the properties of real numbers to simplify the expression.
-  (-8y)

Accepted Answer

A)  -4y 
B)  2y 
C)  3y 
D)  4y 
A)  -4y 
B)  2y 
C)  3y 
D)  4y

Question 6

Factor the polynomial completely.
-

Accepted Answer

A)  9x(3x + 2)(2x - 3) 
B)    
C)  9x(3x + 2)(2x + 3) 
D)  x(3x - 2)(2x + 3) 
A)  9x(3x + 2)(2x - 3) 
B)    
C)  9x(3x + 2)(2x + 3) 
D)  x(3x - 2)(2x + 3)

Question 7

Use the order of operations to evaluate the expression.
-  · (1 ÷ 3 + 4)

Accepted Answer

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

Question 8

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

Accepted Answer

A)  (5y + 5x + 5z) 
B)  5x + (5y + 5z) 
C)  (5y + 5x) + 5z 
D)  (5x + 5y + 5z) 
A)  (5y + 5x + 5z) 
B)  5x + (5y + 5z) 
C)  (5y + 5x) + 5z 
D)  (5x + 5y + 5z)

Question 9

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 10

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

Accepted Answer

A)  1(w + z) 
B)  w(1 - z) 
C)  0(w - z) 
D)  1(w - z) 
A)  1(w + z) 
B)  w(1 - z) 
C)  0(w - z) 
D)  1(w - z)

Question 11

Find the product.
-(2x + 2)(2x - 2)

Accepted Answer

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

Question 12

Use the properties of opposites to complete the equation.
--1(-5.5) = _____

Accepted Answer

A)  0 
B)  5.5 
C)  -5.5 
D)  None of the above 
A)  0 
B)  5.5 
C)  -5.5 
D)  None of the above

Question 13

Evaluate the expression without a calculator.
--2-4

Accepted Answer

A)    
B)  16 
C)    
D)  -16 
A)    
B)  16 
C)    
D)  -16

Question 14

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

Accepted Answer

A)  -28 
B)  20 
C)  44 
D)  52 
A)  -28 
B)  20 
C)  44 
D)  52

Question 15

Find the degree and leading coefficient of the polynomial.
-

Accepted Answer

A)  Degree: 4; leading coefficient: -5 
B)  Degree: 4; leading coefficient: 2 
C)  Degree: 3; leading coefficient: -11 
D)  Degree: 2; leading coefficient: -5 
A)  Degree: 4; leading coefficient: -5 
B)  Degree: 4; leading coefficient: 2 
C)  Degree: 3; leading coefficient: -11 
D)  Degree: 2; leading coefficient: -5

Question 16

Complete the statement using the indicated property.
-0.25   = 1, multiplicative inverse

Accepted Answer

A)  -4 
B)  25 
C)  4 
D)  16 
A)  -4 
B)  25 
C)  4 
D)  16

Question 17

Factor the sum or difference of two cubes.
-

Accepted Answer

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

Question 18

Find the domain of the rational expression.
-

Accepted Answer

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

Question 19

Factor the trinomial.
-

Accepted Answer

A)  (x - 9)(x - 7) 
B)  (x + 2)(x - 7) 
C)  (9x + 2)(x - 7) 
D)  (2x + 9)(x - 7) 
A)  (x - 9)(x - 7) 
B)  (x + 2)(x - 7) 
C)  (9x + 2)(x - 7) 
D)  (2x + 9)(x - 7)

Question 20

Find the least common denominator.
-

Accepted Answer

A)  16 
B)  t(t + 6) 
C)  t 
D)  t + 6 
A)  16 
B)  t(t + 6) 
C)  t 
D)  t + 6

Find the degree and leading coefficient of the polynomial. -

Find the degree and leading coefficient of the polynomial. -

Evaluate the expression. -

Factor the trinomial. -

Use the properties of real numbers to simplify the expression. - (-8y)

Factor the polynomial completely. -

Use the order of operations to evaluate the expression. - · (1 ÷ 3 + 4)

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

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

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

Find the product. -(2x + 2)(2x - 2)

Use the properties of opposites to complete the equation. --1(-5.5) = _____

Evaluate the expression without a calculator. --2-4

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

Find the degree and leading coefficient of the polynomial. -

Complete the statement using the indicated property. -0.25 = 1, multiplicative inverse

Factor the sum or difference of two cubes. -

Find the domain of the rational expression. -

Factor the trinomial. -

Find the least common denominator. -

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

Exam 12: Basic Algebra Review

Find the degree and leading coefficient of the polynomial. -

Find the degree and leading coefficient of the polynomial. -

Evaluate the expression. -

Factor the trinomial. -

Use the properties of real numbers to simplify the expression. - (-8y)

Factor the polynomial completely. -

Use the order of operations to evaluate the expression. - · (1 ÷ 3 + 4)

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

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

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

Find the product. -(2x + 2)(2x - 2)

Use the properties of opposites to complete the equation. --1(-5.5) = _____

Evaluate the expression without a calculator. --2-4

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

Find the degree and leading coefficient of the polynomial. -

Complete the statement using the indicated property. -0.25 = 1, multiplicative inverse

Factor the sum or difference of two cubes. -

Find the domain of the rational expression. -

Factor the trinomial. -

Find the least common denominator. -

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