Question 1

Identify the rules of algebra illustrated from left to right by the following statement.

Accepted Answer

A) commutative property of addition; additive inverse property; additive identity property 
B) distributive property; additive identity property; additive inverse property 
C) commutative property of addition; additive identity property; additive inverse property 
D) associative property of addition; additive identity property; additive inverse property 
E) associative property of addition; additive inverse property; additive identity property 
A) commutative property of addition; additive inverse property; additive identity property 
B) distributive property; additive identity property; additive inverse property 
C) commutative property of addition; additive identity property; additive inverse property 
D) associative property of addition; additive identity property; additive inverse property 
E) associative property of addition; additive inverse property; additive identity property E

Question 2

Completely factor the expression.

Accepted Answer

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

Question 3

List the coefficients of the variable terms in the expression:

Accepted Answer

A)    ,   
B)    
C)    
D)    ,   ,   
E)    ,   ,   
A)    ,   
B)    
C)    
D)    ,   ,   
E)    ,   ,   A

Question 4

Factor the expression by removing the common factor with the smaller exponent.

Accepted Answer

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

Question 5

Write the rational expression in simplest form.

Accepted Answer

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

Question 6

Is the interval bounded or unbounded? -6 < x < -4

Accepted Answer

A) bounded 
B) unbounded 
A) bounded 
B) unbounded

Question 7

Identify the rules of algebra illustrated from left to right by the following statement.

Accepted Answer

A) commutative property of addition; additive inverse property; additive identity property 
B) associative property of addition; additive inverse property; additive identity property 
C) commutative property of addition; additive identity property; additive inverse property 
D) associative property of addition; additive identity property; additive inverse property 
E) distributive property; additive identity property; additive inverse property 
A) commutative property of addition; additive inverse property; additive identity property 
B) associative property of addition; additive inverse property; additive identity property 
C) commutative property of addition; additive identity property; additive inverse property 
D) associative property of addition; additive identity property; additive inverse property 
E) distributive property; additive identity property; additive inverse property

Question 8

Evaluate the expression without using a calculator.

Accepted Answer

A)    
B) -2 
C) 2 
D)    
E)    
A)    
B) -2 
C) 2 
D)    
E)

Question 9

Completely factor the expression.

Accepted Answer

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

Question 10

Find the special product.

Accepted Answer

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

Question 11

Place the correct symbol (, or =) between the pair of real numbers.

Accepted Answer

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

Question 12

Use inequality notation to describe the set. t is at least -19 but less than 2

Accepted Answer

A) 2 $\le$ t  $\lt$ -19 
B) 2  $\lt$ t $\le$ -19 
C) -19 $\le$ t $\le$2 
D) -19  $\lt$ t  $\lt$ 2 
E) -19$\le$ t  $\lt$ 2 
A) 2 $\le$ t  $\lt$ -19 
B) 2  $\lt$ t $\le$ -19 
C) -19 $\le$ t $\le$2 
D) -19  $\lt$ t  $\lt$ 2 
E) -19$\le$ t  $\lt$ 2

Question 13

Evaluate the expression without using a calculator.

Accepted Answer

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

Question 14

Determine which numbers in the set are irrational numbers.   ,   , 0,   ,   ,   ,

Accepted Answer

A)    ,   ,   ,   
B)    , 0,   ,   ,   
C)    ,   ,   ,   
D)    ,   ,   ,   ,   ,   
E)    ,   ,   
A)    ,   ,   ,   
B)    , 0,   ,   ,   
C)    ,   ,   ,   
D)    ,   ,   ,   ,   ,   
E)    ,   ,

Question 15

Perform the division and simplify.

Accepted Answer

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

Question 16

Identify the rule of algebra illustrated by the statement.

Accepted Answer

A) distributive property 
B) commutative property of multiplication 
C) associative property of multiplication 
D) commutative property of addition 
E) associative property of addition 
A) distributive property 
B) commutative property of multiplication 
C) associative property of multiplication 
D) commutative property of addition 
E) associative property of addition

Question 17

Factor the expression by removing the common factor with the smaller exponent.

Accepted Answer

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

Question 18

Evaluate the expression for the given value of x.

Accepted Answer

A) 0 
B) 15 
C) -5 
D) 5 
E) -15 
A) 0 
B) 15 
C) -5 
D) 5 
E) -15

Question 19

Perform the operations and simplify.

Accepted Answer

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

Question 20

Approximate the numbers and place the correct symbol () between them.

Accepted Answer

A) -1.5  0 
C) -1.5  1 
A) -1.5  0 
C) -1.5  1

Identify the rules of algebra illustrated from left to right by the following statement.

Completely factor the expression.

List the coefficients of the variable terms in the expression:

Factor the expression by removing the common factor with the smaller exponent.

Write the rational expression in simplest form.

Is the interval bounded or unbounded? -6 < x < -4

Identify the rules of algebra illustrated from left to right by the following statement.

Evaluate the expression without using a calculator.

Completely factor the expression.

Find the special product.

Place the correct symbol (<, >, or =) between the pair of real numbers.

Use inequality notation to describe the set. t is at least -19 but less than 2

Evaluate the expression without using a calculator.

Determine which numbers in the set are irrational numbers. , , 0, , , ,

Perform the division and simplify.

Identify the rule of algebra illustrated by the statement.

Factor the expression by removing the common factor with the smaller exponent.

Evaluate the expression for the given value of x.

Perform the operations and simplify.

Approximate the numbers and place the correct symbol (< or >) between them.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Filters

Exam 11: Algebraic Expressions and Equations

Identify the rules of algebra illustrated from left to right by the following statement.

Completely factor the expression.

List the coefficients of the variable terms in the expression:

Factor the expression by removing the common factor with the smaller exponent.

Write the rational expression in simplest form.

Is the interval bounded or unbounded? -6 < x < -4

Identify the rules of algebra illustrated from left to right by the following statement.

Evaluate the expression without using a calculator.

Completely factor the expression.

Find the special product.

Place the correct symbol (<, >, or =) between the pair of real numbers.

Use inequality notation to describe the set. t is at least -19 but less than 2

Evaluate the expression without using a calculator.

Determine which numbers in the set are irrational numbers. , , 0, , , ,

Perform the division and simplify.

Identify the rule of algebra illustrated by the statement.

Factor the expression by removing the common factor with the smaller exponent.

Evaluate the expression for the given value of x.

Perform the operations and simplify.

Approximate the numbers and place the correct symbol (< or >) between them.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Filters