Deck 11: Algebraic Expressions and Equations

Question 1

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 417 feet above sea level. The elevation at the top of the mountain is 2187 feet above sea level. What is the height of the mountain?

A)
B)
C)
D)
E)

Answer 1

Question 2

Use inequality notation to describe the set. v is at least -16 but less than 10

A)-16 $\le$ v $\le$ 10
B)10 $\le$ v $\lt$ -16
C)-16 $\lt$ v $\lt$ 10
D)-16 $\le$ v $\lt$ 10
E)10 $\lt$ v $\le$ -16

Answer 2

-16 $\le$ v $\lt$ 10

Question 3

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Answer 3

Question 4

Identify the rule of algebra illustrated by the statement.

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

Question 5

Completely factor the expression.

A)
B)
C)
D)
E)

Question 6

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 7

Simplify the expression.

A)
B)
C)
D)
E)

Question 8

Identify the degree and leading coefficient of the polynomial.

A)degree: 3 leading coefficient: 4
B)degree: 3 leading coefficient: 2
C)degree: 2 leading coefficient: -7
D)degree: 2 leading coefficient: -2
E)degree: 2 leading coefficient: 2

Question 9

Evaluate the expression.

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

Question 10

Factor the trinomial.

A)
B)
C)
D)
E)

Question 11

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 12

Completely factor the expression.

A)
B)
C)
D)
E)

Question 13

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 14

Evaluate the expression without using a calculator.

A)
B)
C)
D)-4
E)4

Question 15

Evaluate the expression.

A)2
B)-10
C)24
D)-2
E)10

Question 16

Evaluate the expression.

A)
B)
C)
D)
E)

Question 17

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

A)
B)
C)

Question 18

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

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

Question 19

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

A)-2.5 > 4
B)-2.5 > 3.5
C)-2.5 < 3.5
D)-2.5 < 4
E)-2.5 < -3.5

Question 20

List the coefficients of the variable terms in the expression:

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

Question 21

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Question 22

The line graph shows the costs of a 30-second television spot (in thousands of dollars) during the Super Bowl from 1995 to 2005. Estimate the increase in the cost of a 30-second spot from the Super Bowl in 2000 to the Super Bowl in 2005.

A)300 thousand dollars
B)200 thousand dollars
C)100 thousand dollars
D)400 thousand dollars
E)360 thousand dollars

Question 23

Identify the degree and leading coefficient of the polynomial.

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 24

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 451 feet above sea level. The elevation at the top of the mountain is 3236 feet above sea level. What is the height of the mountain?

A)
B)
C)
D)
E)

Question 25

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

A)-1.5 < -1
B)-1.5 > 0
C)-1.5 < 0
D)-1.5 < 1
E)-1.5 > 1

Question 26

Evaluate the expression.

A)
B)
C)
D)
E)

Question 27

List the coefficients of the variable terms in the expression:

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

Question 28

Evaluate the expression.

A)"3"
B)"x"
C)"-1"
D)"-x"
E)"1"

Question 29

Identify the rule of algebra illustrated by the statement.

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

Question 30

Evaluate the expression without using a calculator.

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

Question 31

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 32

Simplify the expression.

A)
B)
C)
D)
E)

Question 33

Use inequality notation to describe the set. t is at least -19 but less than 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 34

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

A)
B)
C)

Question 35

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

A)
B)
C)
D)
E)

Question 36

Evaluate the expression.

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

Question 37

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 less than 40% male?

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

Question 38

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 39

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

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

Question 40

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

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

Question 41

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 42

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 128 feet above sea level. The elevation at the top of the mountain is 3255 feet above sea level. What is the height of the mountain?

A)
B)
C)
D)
E)

Question 43

Factor the trinomial.

A)
B)
C)
D)
E)

Question 44

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 45

Evaluate the expression.

A)
B)
C)
D)
E)

Question 46

Evaluate the expression.

A)5
B)-5
C)11
D)-11
E)24

Question 47

List the coefficients of the variable terms in the expression:

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

Question 48

Evaluate the expression.

A)"5"
B)"-x"
C)"x"
D)"-1"
E)"1"

Question 49

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

A)-4 < 0
B)-4 < 1
C)-4 < -1
D)-4 > -1
E)-4 > 0

Question 50

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 51

The line graph shows the costs of a 30-second television spot (in thousands of dollars) during the Super Bowl from 1995 to 2005. Estimate the increase in the cost of a 30-second spot from the Super Bowl in 1998 to the Super Bowl in 2002.

A)1080 thousand dollars
B)1200 thousand dollars
C)300 thousand dollars
D)900 thousand dollars
E)600 thousand dollars

Question 52

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 less than 40% male?

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

Question 53

Completely factor the expression.

A)
B)
C)
D)
E)

Question 54

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

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

Question 55

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

A)
B)
C)

Question 56

Use inequality notation to describe the set. s is at least -4 but less than 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 57

Identify the rule of algebra illustrated by the statement.

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

Question 58

Completely factor the expression.

A)
B)
C)
D)
E)

Question 59

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

A)
B)
C)
D)
E)

Question 60

Find the distance between the points. Round to the nearest hundredth, if necessary. (9, -1), (-7, 6)

A)5.39
B)16.76
C)7.28
D)16.40
E)17.46

Question 61

Evaluate the expression without using a calculator.

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

Question 62

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Question 63

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 64

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 65

Factor the trinomial.

A)
B)
C)
D)
E)

Question 66

Simplify the expression.

A)
B)
C)
D)
E)

Question 67

Completely factor the expression.

A)
B)
C)
D)
E)

Question 68

Identify the degree and leading coefficient of the polynomial.

A)degree: 3 leading coefficient: 3
B)degree: 2 leading coefficient: 6
C)degree: 3 leading coefficient: 6
D)degree: 2 leading coefficient: -6
E)degree: 2 leading coefficient: 1

Question 69

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 70

The line graph shows the costs of a 30-second television spot (in thousands of dollars) during the Super Bowl from 1995 to 2005. Estimate the increase in the cost of a 30-second spot from the Super Bowl in 1998 to the Super Bowl in 2005.

A)550 thousand dollars
B)2200 thousand dollars
C)1650 thousand dollars
D)1980 thousand dollars
E)1100 thousand dollars

Question 71

Use inequality notation to describe the set. v is positive

A)v $\le$ 0
B)v $\lt$ $\infty$
C)v $\le$ $\infty$
D)v $\gt$ 0
E)v $\ge$ 0

Question 72

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

A)-2.5 > 4
B)-2.5 < 4
C)-2.5 < 3.5
D)-2.5 > 3.5
E)-2.5 < -3.5

Question 73

Is the interval bounded or unbounded? -7 < x < 1

A)bounded
B)unbounded

Question 74

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?

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

Question 75

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

A)
B)
C)
D)
E)

Question 76

Determine which numbers in the set are integers. -2.73, 20, , 0, , -13

A)-2.73, 20, 0, , -13
B)20, 0, -13
C)20, 0
D)20, , 0, -13
E)20, 0, , -13

Question 77

Determine which numbers in the set are whole numbers. 18, -5, 0, , -8, 4,

A)18, 0, , 4
B)18, -5, 0, -8, 4
C)18, 0, , 4,
D)18, 0, 4
E)18, 4

Question 78

Completely factor the expression.

A)
B)
C)
D)
E)

Question 79

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 80

Find the distance between the points. Round to the nearest hundredth, if necessary. (-4, 8), (4, 1)

A)9.00
B)7.00
C)10.63
D)12.04
E)12.37