Question 1

Identify the degree and leading coefficient of the polynomial.

Accepted Answer

A) degree: 3 leading coefficient: 5 
B) degree: 3 leading coefficient: 1 
C) degree: 2 leading coefficient: -1 
D) degree: 2 leading coefficient: 1 
E) degree: 2 leading coefficient: 3 
A) degree: 3 leading coefficient: 5 
B) degree: 3 leading coefficient: 1 
C) degree: 2 leading coefficient: -1 
D) degree: 2 leading coefficient: 1 
E) degree: 2 leading coefficient: 3

Question 2

Rationalize the denominator. Then simplify your answer.

Accepted Answer

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

Question 3

The double bar graph below shows the percents of associate degrees awarded to males and females for selected fields of study in the United States in 2003. Degrees awarded to females are graphed above degrees awarded to males.   How many fields of study were more than 60% male?

Accepted Answer

A) 3 
B) 7 
C) 6 
D) 5 
E) 4 
A) 3 
B) 7 
C) 6 
D) 5 
E) 4

Question 4

Use inequality notation to describe the set. s is at least -4 but less than 23

Accepted Answer

A) 23 $\le$ s $\lt$-4 
B) 23 $\lt$s $\le$ -4 
C) -4$\le$ s $\lt$ 23 
D) -4 $\le$ s $\le$ 23 
E) -4 $\lt$ s $\lt$23 
A) 23 $\le$ s $\lt$-4 
B) 23 $\lt$s $\le$ -4 
C) -4$\le$ s $\lt$ 23 
D) -4 $\le$ s $\le$ 23 
E) -4 $\lt$ s $\lt$23

Question 5

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

Accepted Answer

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

Question 6

Completely factor the expression.

Accepted Answer

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

Question 7

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 8

Factor out the common factor.

Accepted Answer

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

Question 9

Write the rational expression in simplest form.

Accepted Answer

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

Question 10

Evaluate the expression.

Accepted Answer

A) "x" 
B) "-1" 
C) "-x" 
D) "6" 
E) "1" 
A) "x" 
B) "-1" 
C) "-x" 
D) "6" 
E) "1"

Question 11

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

Accepted Answer

A) -4  -1 
E) -4 > 0 
A) -4  -1 
E) -4 > 0

Question 12

Perform the operations and simplify.

Accepted Answer

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

Question 13

Evaluate the expression for the given value of x.

Accepted Answer

A) -7 
B) 35 
C) -35 
D) 0 
E) 7 
A) -7 
B) 35 
C) -35 
D) 0 
E) 7

Question 14

Evaluate the expression.

Accepted Answer

A) -13 
B) 13 
C) -5 
D) 5 
E) 36 
A) -13 
B) 13 
C) -5 
D) 5 
E) 36

Question 15

Find the distance between the points. Round to the nearest hundredth, if necessary. (9, 6), (7, -3)

Accepted Answer

A) 18.36 
B) 9.22 
C) 3.61 
D) 16.28 
E) 10.44 
A) 18.36 
B) 9.22 
C) 3.61 
D) 16.28 
E) 10.44

Question 16

Simplify the expression.

Accepted Answer

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

Question 17

Factor the trinomial.

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) -81 
B) 81 
C)    
D) -12 
E)    
A) -81 
B) 81 
C)    
D) -12 
E)

Question 19

Evaluate the expression without using a calculator.

Accepted Answer

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

Question 20

Evaluate the expression.

Accepted Answer

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

Identify the degree and leading coefficient of the polynomial.

Rationalize the denominator. Then simplify your answer.

The double bar graph below shows the percents of associate degrees awarded to males and females for selected fields of study in the United States in 2003. Degrees awarded to females are graphed above degrees awarded to males. How many fields of study were more than 60% male?

Use inequality notation to describe the set. s is at least -4 but less than 23

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

Completely factor the expression.

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

Factor out the common factor.

Write the rational expression in simplest form.

Evaluate the expression.

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

Perform the operations and simplify.

Evaluate the expression for the given value of x.

Evaluate the expression.

Find the distance between the points. Round to the nearest hundredth, if necessary. (9, 6), (7, -3)

Simplify the expression.

Factor the trinomial.

Evaluate the expression for the given value of x.

Evaluate the expression without using a calculator.

Evaluate the expression.

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

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Exam 11: Algebraic Expressions and Equations

Identify the degree and leading coefficient of the polynomial.

Rationalize the denominator. Then simplify your answer.

The double bar graph below shows the percents of associate degrees awarded to males and females for selected fields of study in the United States in 2003. Degrees awarded to females are graphed above degrees awarded to males. How many fields of study were more than 60% male?

Use inequality notation to describe the set. s is at least -4 but less than 23

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

Completely factor the expression.

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

Factor out the common factor.

Write the rational expression in simplest form.

Evaluate the expression.

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

Perform the operations and simplify.

Evaluate the expression for the given value of x.

Evaluate the expression.

Find the distance between the points. Round to the nearest hundredth, if necessary. (9, 6), (7, -3)

Simplify the expression.

Factor the trinomial.

Evaluate the expression for the given value of x.

Evaluate the expression without using a calculator.

Evaluate the expression.

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