Chapter 4 Study Guide

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

A child’s ticket for a play costs $6 less than an adult’s ticket. If a represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?

a.	a – 6	c.	6a
b.	6 + a	d.	6 – a

Terry scored 18 more points than Bob in a basketball game. If b represents the number of points that Bob scored, which expression represents the number of points that Terry scored?

b – 18

b + 18

18b

18 – b

Linda is selling b of her bracelets on the Internet for $7.25 each. Which of the following expressions describes the amount Linda will be paid?

b + $7.25

$7.25 – b

$7.25 ÷ b

$7.25

What is the value of the expression in the table when b = 5?

b	20 + 2b
9	38
7	34
5

a.	27	c.	32
b.	30	d.	45

Victoria sings at parties for $12 per party. She spent $33 on an ad in the newspaper. The expression 12x – 33 can be used to find the amount Victoria earns for singing at x parties. How much will Victoria earn if she sings at 8 parties?

a.	$96	c.	$63
b.	$95	d.	$33

Which algebraic expression can be used to describe the output pattern in the table if the input is a variable p?

Input	3	6	9	12	15
Output	15	30	45	60	75

a.	p + 12	c.	p ÷ 3
b.	5p	d.	p ÷ 5

A potter can make 152 vases in 4 weeks. At this rate, how many weeks will it take the potter to make 304 vases?

a.	6	c.	10
b.	8	d.	12

Melissa walked 3 laps less than Tyler. If t represents the number of laps that Tyler walked, which expression represents the number of laps Melissa walked?

a.	3 – t	c.	3 + t
b.	3t	d.	t – 3

Glenn has twice as many yo-yos as Courtney. If c represents the number of yo-yos that Courtney has, which expression represents the number of yo-yos that Glenn has?

c + 2

c – 2

2 – c

10.

What is done first to evaluate the expression 30 – 12 ÷ 6

(4 + 3)?

a.	Add 4 + 3.	c.	Divide 12 ÷ 6.
b.	Multiply 6 4.	d.	Subtract 30 – 12.

11.

Rebecca is selling 4 of her porcelain dolls on the Internet for $18.75 each. Which of the following expressions describes the amount Rebecca will be paid?

$18.75

$18.75 – 4

$18.75 ÷ 4

$18.75

12.

What is the value of the expression in the table when n = 5?

n	30 – 3n
9	3
7	9
5

a.	5	c.	15
b.	12	d.	22

13.

What is the value of the expression in the table when s = 4?

s	20+ 3s
8	44
6	38
4

a.	42	c.	32
b.	38	d.	28

14.

Scott sells his drawings for $3 each. He spent $18 on art supplies. The expression 3x – 18 can be used to find the profit Scott makes when he sells x drawings. How much profit will Scott make if he sells 11 drawings?

a.	$15	c.	$33
b.	$18	d.	$51

15.

Which algebraic expression can be used to describe the output pattern in the table if the input is a variable m?

Music CDs and Total number of songs
Input	2	4	6	8	10
Output	18	36	54	72	90

a.	m + 16	c.	9m
b.	18m	d.	m ÷ 6

16.

Which algebraic expression can be used to describe the output pattern in the table if the input is a variable t?

Movie tickets and Total price of admission
Input	3	5	7	9	11
Output	24	40	56	72	88

a.	8t	c.	t + 21
b.	24 – t	d.	t ÷ 12

17.

How can you get the variable alone on one side of the equation c

37 = 74?

a.	Multiply both sides of the equation by 37.
b.	Add 37 to both sides of the equation.
c.	Subtract 74 from both sides of the equation.
d.	Divide both sides of the equation by 37.

18.

Gina’s sister is 7 years older than Gina. This year Gina’s sister is 19. If g is Gina’s age, the equation g + 7 = 19 represents this situation. How can you get the variable alone on one side of the equation?

a.	Multiply both sides by 7.	c.	Add 19 to both sides.
b.	Subtract 7 from both sides.	d.	Add 7 to both sides.

19.

Solve the equation.
m – 17 = 58

m = 41

m = 65

m = 75

m = 85

20.

You have 63 glass marbles. This is 18 more than the number, n, your friend has. Find how many glass marbles your friend has by solving the equation n + 18 = 63.

n = 45

n = 55

n = 71

n = 81

21.

There are 16 players on the South Coast baseball team, including the 9 players on the field. Which equation can be used to find p, the number of players on the bench?

16
p	9

a.	p – 9 = 16	c.	9p = 16
b.	p ÷ 9 = 16	d.	p + 9 = 16

22.

There was a total of 33 math books in the two drawers of Mrs. Moeller's classroom desk, including the 17 books she found in the bottom drawer. Which equation can be used to find b, the number of books that were in the top drawer?

33
b	17

a.	b ÷ 17 = 33	c.	17b = 33
b.	b – 17 = 33	d.	b + 17 = 33

23.

Bruce and Mercedes are selling raffle tickets for their local community center. Mercedes sold 68 tickets, which is 21 more than Bruce sold. Which picture and equation can be used to find t, the number of tickets Bruce sold?

a.	t + 21 = 68
b.	t – 68 = 21
c.	21t = 68
d.	t – 21 = 68

24.

Solve the equation.
13w = 91

w = 1,183

w = 104

w = 84

w = 7

25.

Kate can paint 7 boxes in 63 minutes. Solve the equation 7b = 63 to find how long it takes her to paint one box.

a.	b = 7 minutes
b.	b = 9 minutes
c.	b = 70 minutes
d.	b = 441 minutes

26.

Solve the equation.
c

7.3 = 18.7

c = 2.6

c = 9.4

c = 26.0

c = 136.51

27.

The library is selling tote bags for a fundraiser. Sheryl sold 12 tote bags for a total of $90 in sales. Which equation can be used to find t, the cost of each tote bag?

90
t	t	t	t	t	t	t	t	t	t	t	t

a.	12t = 90	c.	t – 12 = 90
b.	90t = 12	d.	t + 12 = 90

28.

Cindy drinks 5 cups of orange juice each week. Which picture and equation can be used to find w, the number of weeks it will take Cindy to drink 40 cups of orange juice?

a.	5w = 40
b.	w + 5 = 40
c.	w ÷ 5 = 40
d.	w – 5 = 40

29.

Natalie sends 4 emails to her best friend every day. Which picture and equation can be used to find d, the number of days it will take Natalie to send 56 emails to her friend?

a.	d ÷ 4 = 56
b.	d + 4 = 56
c.	4d = 56
d.	d – 4 = 56

30.

How can you get the variable alone on one side of the equation

= 186?

a.	Multiply both sides of the equation by 6.
b.	Add 186 to both sides of the equation.
c.	Subtract 186 from both sides of the equation.
d.	Divide both sides of the equation by 6.

31.

You have 36 postcards. This is 19 more than n, the number of postcards your friend has. Find how many postcards your friend has by solving the equation
n + 19 = 36.

n = 17

n = 27

n = 45

n = 55

32.

Solve the equation.
j – 42 = 55

j = 12

j = 13

j = 87

j = 97

33.

You have 34 ribbons. This is 6 more than the number, n, your friend has. Find how many ribbons your friend has by solving the equation n + 6 = 34.

34
n	6

n = 6

n = 20

n = 28

n = 40

34.

The Landauer family invited 20 people to their home for dinner. They are awaiting the arrival of 13 more guests. Which equation can be used to find g, the number of guests that have already arrived for dinner?

20
g	13

a.	13g = 20	c.	g ÷ 13 = 20
b.	g + 13 = 20	d.	g – 13 = 20

35.

Different string instruments use different lengths of strings. One of Meghan’s cello strings is 40 inches long, which is 24 inches longer than one of her viola strings. Which picture and equation can be used to find s, the length of Meghan’s viola string?

a.	s – 24 = 40
b.	s – 16 = 40
c.	24s = 40
d.	s + 24 = 40

36.

Solve the equation.
9r = 117

r = 13

r = 108

r = 126

r = 1,053

37.

While in Mexico, Corinne bought 4 woven rugs for $78. Solve the equation 4r = 78 to find the cost of each rug.

r = $4

r = $19.50

r= $74

r = $82

38.

Solve the equation.
q

41.7 = 200.16

q = 4.8

q = 0.48

q = 48

q = 241.86

39.

Hal washes office windows. Last April, he washed 6 large windows for a total of $210. Which equation can be used to find w, the amount Hal earns for each window?

210
w	w	w	w	w	w

a.	6 – w = 210	c.	6 ÷ w = 210
b.	6w = 210	d.	6 – w = 210