Question 1

Simplify the expression by rationalizing the denominator.
-

Accepted Answer

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

Question 2

Evaluate the expression without a calculator.
-

Accepted Answer

A)  3 
B)  2 
C)  0 
D)  1 
A)  3 
B)  2 
C)  0 
D)  1

Question 3

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

Accepted Answer

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

Question 4

Find the product.
-

Accepted Answer

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

Question 5

Evaluate the expression without a calculator.
-(-5)-4

Accepted Answer

A)    
B)    
C)  625 
D)  -625 
A)    
B)    
C)  625 
D)  -625

Question 6

Reduce the rational expression to lowest terms.
-

Accepted Answer

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

Question 7

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

Accepted Answer

A)  36 
B)  -1 
C)  6 
D)  1 
A)  36 
B)  -1 
C)  6 
D)  1

Question 8

Factor the trinomial.
-

Accepted Answer

A)  (x - 8)(x + 5) 
B)  (x + 40)(x - 1) 
C)  (x + 8)(x - 5) 
D)  (x - 8)(x + 1) 
A)  (x - 8)(x + 5) 
B)  (x + 40)(x - 1) 
C)  (x + 8)(x - 5) 
D)  (x - 8)(x + 1)

Question 9

Find the degree and leading coefficient of the polynomial.
-2

Accepted Answer

A)  Degree: 2; leading coefficient: 0 
B)  Degree: 0; leading coefficient: 0 
C)  Degree: 0; leading coefficient: 2 
D)  Degree: 2; leading coefficient: 2 
A)  Degree: 2; leading coefficient: 0 
B)  Degree: 0; leading coefficient: 0 
C)  Degree: 0; leading coefficient: 2 
D)  Degree: 2; leading coefficient: 2

Question 10

Find the specified subset.
-The integers in the set

Accepted Answer

A)  19, 0 
B)  -23 
C)  19, -23, 0 
D)  19, -23, 0, 3.14 
A)  19, 0 
B)  -23 
C)  19, -23, 0 
D)  19, -23, 0, 3.14

Question 11

Factor the trinomial.
-

Accepted Answer

A)  (x + 6)(x - 7) 
B)  (x + 7)(x - 6) 
C)  (x - 7)(x + 7) 
D)  (x + 1)(x - 13) 
A)  (x + 6)(x - 7) 
B)  (x + 7)(x - 6) 
C)  (x - 7)(x + 7) 
D)  (x + 1)(x - 13)

Question 12

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 13

Find the degree and leading coefficient of the polynomial.
-

Accepted Answer

A)  Degree: 17; leading coefficient: 4 
B)  Degree: 7; leading coefficient: 17 
C)  Degree: 4; leading coefficient: 17 
D)  Degree: 8; leading coefficient: 17 
A)  Degree: 17; leading coefficient: 4 
B)  Degree: 7; leading coefficient: 17 
C)  Degree: 4; leading coefficient: 17 
D)  Degree: 8; leading coefficient: 17

Question 14

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 15

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)  -300 
A)    
B)    
C)    
D)  -300

Question 16

Evaluate the polynomial.
-P(x) =   - 5x - 9, P(-2)

Accepted Answer

A)  29 
B)  33 
C)  23 
D)  -15 
A)  29 
B)  33 
C)  23 
D)  -15

Question 17

Use the distributive property to find the product.
-

Accepted Answer

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

Question 18

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

Accepted Answer

A)  0.48, 5.011001100011 . . . , 5.1414 . . . 
B)  11, -8, 0.48, 5.1414 . . . 
C)    
D)    
A)  0.48, 5.011001100011 . . . , 5.1414 . . . 
B)  11, -8, 0.48, 5.1414 . . . 
C)    
D)

Question 19

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

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

Question 20

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

Accepted Answer

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

Simplify the expression by rationalizing the denominator. -

Evaluate the expression without a calculator. -

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

Find the product. -

Evaluate the expression without a calculator. -(-5)-4

Reduce the rational expression to lowest terms. -

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

Factor the trinomial. -

Find the degree and leading coefficient of the polynomial. -2

Find the specified subset. -The integers in the set

Factor the trinomial. -

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

Find the degree and leading coefficient of the polynomial. -

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

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers. -

Evaluate the polynomial. -P(x) = - 5x - 9, P(-2)

Use the distributive property to find the product. -

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

Perform the indicated operation and express in lowest terms. -

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

Simplify the expression by rationalizing the denominator. -

Evaluate the expression without a calculator. -

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

Find the product. -

Evaluate the expression without a calculator. -(-5)-4

Reduce the rational expression to lowest terms. -

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

Factor the trinomial. -

Find the degree and leading coefficient of the polynomial. -2

Find the specified subset. -The integers in the set

Factor the trinomial. -

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

Find the degree and leading coefficient of the polynomial. -

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

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers. -

Evaluate the polynomial. -P(x) = - 5x - 9, P(-2)

Use the distributive property to find the product. -

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

Perform the indicated operation and express in lowest terms. -

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