Deck 11: Prerequisites

Question 1

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

Answer 1

-2.5 < 3.5

Question 2

Completely factor the expression.

A)
B)
C)
D)
E)

Answer 2

Question 3

List the coefficients of the variable terms in the expression:

A) ,
B)
C)
D) , ,

E) , ,

Answer 3

,

Question 4

Evaluate the expression.

A)
B)
C)
D)
E)

Question 5

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

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

D) , 0, , ,
E) , ,

Question 6

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 7

Evaluate the expression without using a calculator.

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

Question 8

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

A)
B)
C)

Question 9

Simplify the expression.

A)
B)
C)
D)
E)

Question 10

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 11

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 12

Completely factor the expression.

A)
B)
C)
D)
E)

Question 13

Evaluate the expression.

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

Question 14

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

Question 15

Evaluate the expression.

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

Question 16

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Question 17

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 18

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 19

Factor the trinomial.

A)
B)
C)
D)
E)

Question 20

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)

Question 21

Evaluate the expression.

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

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

Evaluate the expression without using a calculator.

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

Question 24

Simplify the expression.

A)
B)
C)
D)
E)

Question 25

Evaluate the expression.

A)
B)
C)
D)
E)

Question 26

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

A)
B)
C)
D)
E)

Question 27

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 28

Evaluate the expression.

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

Question 29

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

A)
B)
C)

Question 30

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Question 31

List the coefficients of the variable terms in the expression:

A) , ,

B) , ,

C) ,
D)
E)

Question 32

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

A) , ,
,
,
,

B) , 0, ,
,

C) , ,
,

D) , ,
,

E) , ,

Question 33

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 34

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 35

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 36

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 37

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 38

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 39

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 40

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 41

List the coefficients of the variable terms in the expression:

A) , ,

B)
C) , ,

D)
E) ,

Question 42

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 43

Completely factor the expression.

A)
B)
C)
D)
E)

Question 44

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 45

Factor the trinomial.

A)
B)
C)
D)
E)

Question 46

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

A)
B)
C)
D)
E)

Question 47

Evaluate the expression.

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

Question 48

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 49

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 50

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 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

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 53

Evaluate the expression.

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

Question 54

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

A) , ,
,

B) , 0, ,
,

C) , ,
,

D) , ,
,
,
,

E) , ,

Question 55

Completely factor the expression.

A)
B)
C)
D)
E)

Question 56

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 57

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 $\lt$ s $\le$ 23
E) -4 $\lt$ s $\lt$ 23

Question 58

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 59

Evaluate the expression.

A)
B)
C)
D)
E)

Question 60

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

A)
B)
C)

Question 61

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 62

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 63

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 64

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 65

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

A) bounded
B) unbounded

Question 66

Perform the subtraction and simplify.

A)
B)
C)
D)
E)

Question 67

Completely factor the expression.

A)
B)
C)
D)
E)

Question 68

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 69

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 70

Perform the division and simplify.

A)
B)
C)
D)
E)

Question 71

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 72

Simplify the expression.

A)
B)
C)
D)
E)

Question 73

Completely factor the expression.

A)
B)
C)
D)
E)

Question 74

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

Question 75

Evaluate the expression without using a calculator.

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

Question 76

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

A)
B)
C)
D)
E)

Question 77

Factor the trinomial.

A)
B)
C)
D)
E)

Question 78

Rationalize the denominator. Then simplify your answer.

A)
B)
C)
D)
E)

Question 79

Write the polynomial in standard form.

A)
B)
C)
D)
E)

Question 80

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