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Unit 4 Test Review

Total questions: 58

Worksheet time: 3hrs 54mins

Name
Class
Date
1.

List 3 numbers that could be a solution to the inequality 84<4y84<4y  

a)

21, 22, 23

b)

22, 23, 24

c)

19, 20, 21

d)

18, 19, 20

2.

What is the value of c in the equation 0.25c=2.050.25c=2.05 ?


a)

8.2

b)

0.5125

c)

1.8

d)

2.3

3.

List 3 numbers that satisfy the problem 3b>213b>21 


a)

7, 8, 9

b)

8, 9, 10

c)

5, 6, 7

d)

4, 5, 6

4.

Which 2 equations have the same value for g?

a)

36÷g=436\div g=4

b)

g+20=24g+20=24

c)

42g=3442-g=34

d)

82g=73882g=738

5.

The formula  m=29pm=29p  relates miles ran, m, to the number of pounds lost, p. Lucy ran 87 miles last month. How many pounds did she lose last month?

a)

3

b)

7,569

c)

116

d)

58

6.

Julie received 3 times as many phone calls as Kyle. If they received a total of 24 phone calls, how many did Kyle recieve?

a)

6

b)

72

c)

27

d)

21

7.

In which equation does w have the greatest value?

a)

4w=484w=48

b)

4+w=254+w=25

c)

w4=18w-4=18

d)

w+4+9=28w+4+9=28

8.

24 cans of Dr. Pepper can fit perfectly into a cooler. If there are 13 cans in the cooler, write an inequality to show the number of cans (n) that can fit in the cooler now.

a)

n11n\le11

b)

n11n\ge11

c)

n<11n<11

d)

n>11n>11

9.

Which equation best represents the table?

a)

c = 110h

b)

c = 110h + 90

c)

h = 110c

d)

h =110c + 90

10.

Write an equation to describe the relationship between x and y.

a)

y = 2.5x

b)

y = 2.5 + x

c)

y = 3 + x

d)

y = 3x

11.

Charlotte wants to buy a piano. She starts saving $150 a month. Write an equation to represent Charlotte’s savings (s) after n months.

a)

s=150+ns=150+n

b)

s=150÷ns=150\div n

c)

s=150ns=150-n

d)

s=150ns=150n

12.

Dance-A-Lot charges a one time fee of $100 and a hourly rate (h) of $40. Write an equation to represent the cost ( C) of attending Dance-A-Lot dance classes.

a)

c = 100h

b)

h = 100c

c)

c = 100 + 40h

d)

h = 100 + 40c

13.

Carl’s doctor says he must exercise at least 4 hours a week. Write an inequality that describes the situation if h represents the hours.

a)

h>4h>4

b)

h4h\ge4

c)

h<4h<4

d)

h4h\le4

14.

A car rental agency charges $50 flat fee plus $0.40 each mile the car is driven. If m represents miles driven, write an expression that can be used to calculate the cost of renting a car.

a)

50 + 0.40m

b)

50.40m

c)

50m + 0.40

d)

50.40 + m

15.

Sally has $50 to spend. She spent $32 at Walmart. How much more money can Sally spend? Which graph models this situation?

a)
b)
c)
d)
16.

The maximum number of people that can swim in the swimming pool is 15. There are 8 in the pool right now. Draw a number line to show how many more people can fit in the pool.

a)
b)
c)
d)
17.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
18.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
19.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
20.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

21.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
22.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
23.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
24.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
25.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
26.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
27.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

28.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

29.

Solve the inequality.

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

30.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

31.

Which choice models this situation?


Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

a)

t + 4 = 58

b)

t - 4 = 58

c)

4t = 58

d)

t/4 = 58

32.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

33.

Which choice models this situation?


At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

34.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

35.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

36.
Write an equation models the following statement:
 17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
37.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
38.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
39.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
40.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
41.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
42.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
43.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

44.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
45.
y=x-6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
46.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.
a)
8.5 + 25.5
b)
25.5 + 8.5x
c)
8.5 + 25.5x
47.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

48.
8.9 + j = 12.8
a)
j = 21.7
b)
j = 3.9
c)
j = 1.4
d)
j = 4.1
49.
x + 11/2  = 53/4
a)
x = 4 1/4
b)
x = 4 5/4
c)
x = 4 2/2
d)
x = 5
50.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
51.
a)

b= 7/18

b)

b= 14

c)

b= 4/9

d)

None of the above

52.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
53.
a)
10 and 3/10
b)
11 and 1/10
c)
3 and 1/2
d)
5 and 1/2
54.
a)
11 and 9/12
b)
7 and 1/9
c)
19 and 5/6
d)
20 and 4/9
55.
1/2x = 3/4

Write your answer as a mixed number in simplest form.
a)
x = 1 1/2
b)
x = 3/8
c)
x = 3/2
d)
x = 1 2/4
56.

What is the correct equation for the graph?

a)

2h = m

b)

20h = m

c)

40h = m

d)

16h = m

57.

What equation is represented by the graph?

a)

y = x + 2

b)

y = 2x

c)

x = 2y

d)

y = x + (-2)

58.

What is the correct equation for the graph?

a)

y = x + 5

b)

x = y

c)

y = 5x

d)

x = 5y