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Final Review

Total questions: 81

Worksheet time: 2hrs 36mins

Name
Class
Date
1.
a)

5.87

b)

6.32

c)

3.87

d)

2.87

2.

Find the equivalent expression for:


4x

a)

x ⋅ x ⋅x ⋅x

b)

x + x + x + x

c)

x4

d)

x ÷ x ÷ x ÷ x

3.
Which expression is equivalent to 4(x + 6)?
a)
4x + 6
b)
4x + 24
c)
x + 24
d)
10x + 24
4.
Which expression is equivalent to 3x + 5 + 7x + 2?
a)
10x + 7
b)
17x
c)
17
d)
15x + 2
5.
Which expression is equivalent to 6y + 22y + y?
a)
28y + 1
b)
29y
c)
22y + 7
d)
29
6.
Which expression is equivalent to 7(3a + 4b)?
a)
21a + 28b
b)
10a + 11b
c)
21a + 4b
d)
10a + 28b
7.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
8.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
9.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
10.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
11.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
12.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

13.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
14.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
15.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
16.
Is this table proportional?
a)
Yes
b)
No
17.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
18.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
19.
A proportional relationship can be written as an equation in the form
____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
20.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
21.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
22.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
23.
1/3 ÷ 4 ¾ =
a)
4/9
b)
57/4
c)
4/57
d)
4/59
24.
Simplify  14/35
a)
3
b)
2/5
c)
5/2
d)
7/17.5
25.
Does the equation show a proportional relationship?
a)
Yes
b)
No
26.
Which best describes the equation?
y = 75x
a)
Proportional
b)
Nonproportional
27.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
28.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
29.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
30.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
31.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
32.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
33.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
34.
-32/8
a)
-4
b)
-5
c)
4
d)
24
35.
Tanner and Zach both play basketball.  In a game, Tanner scored 6 points. Zach scored 4 times as many times as Tanner.  How many points did Zach score?
a)
24
b)
28
c)
18
d)
22
36.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

37.
Which word problem has a solution of 9 x 3 = 27?
a)
Jan is 9 times older than her cousin Josh who is 3 years old. How old is Jan?
b)
Katrina buys 9 cupcakes for twenty seven cents each.  How much total money did Katrina spend?
c)
Don saves for 9 weeks to buy 3 games. How many weeks did Don save for each game?
d)
Sam spends $9 on a book and $3 on a notebook.  How much total money does Sam spend?
38.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
39.
-6x = 18
a)
3
b)
-3
c)
6
d)
-6
40.
3y = -15
a)
-5
b)
5
c)
-3
d)
3
41.
Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 
a)
25x + 100 = 600
b)
25x - 100 = 600 
c)
600 - 100x = 25
d)
600 + 25x = 100 
42.
A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  
a)
60 - 15x = 210 
b)
15x - 60 = 210
c)
15x + 60 = 210 
d)
210 + 15x = 60 
43.
Three times the sum of a number and 7 is equivalent to 57. 
a)
3x + 7 = 57 
b)
3(x + 7) = 57
c)
7x + 3 = 57 
d)
7(x + 3) = 57
44.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
45.
Solve
y - 4 > 12
a)
 y > 16
b)
y < 16
c)
y > 8
d)
y < 8
46.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
47.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
48.
Convert 70% to a decimal.
a)
.07
b)
.70
c)
.007
d)
.01
49.
Express 0.87 as a percent.
a)
0.87%
b)
8.7%
c)
87%
d)
870%
50.
Students at Appleton Middle School recently voted for a school mascot. The results are shown in the circle graph below. Which mascot received 30% of the votes?
a)
tiger
b)
stallion
c)
bull
d)
lion
51.
Express 0.08 as a percent.
a)
0.08%
b)
80%
c)
8%
d)
0.008%
52.
Express 11/50 as a percent.
a)
220%
b)
22%
c)
50%
d)
55%
53.
1/2 as a decimal :
a)
.55
b)
.20
c)
.50
d)
.80
54.
1/3  as a decimal :
a)
.25
b)
.75
c)
.45
d)
.33
55.
2/3 as a decimal:
a)
.66
b)
.23
c)
.78
d)
.50
56.
1/4 a a decimal: 
a)
.90
b)
.80
c)
.25
d)
.15
57.
Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost before taxes?
a)
$3.75
b)
$18.75
c)
$15.25
d)
$11.25
58.
 If you receive 25% off an item costing $22.00, how much money do you save?
a)
$ 5.50
b)
$ 4.25
c)
$6.00
d)
$7.35
59.

A store pays $32.00 for each video game. The store’s percent of mark up is 75%. Which shows the retail price of the video game?

a)

$60.00

b)

$56.00

c)

$24.00

d)

$8.00

60.
Find the total cost: 
$ 990 TV;
9% tax 
a)
$ 89.10
b)
$ 900.90
c)
$ 1,079.10
d)
Free
61.
Find the total cost.  $20 meal; 9% sales tax; 20% gratuity after the sales tax has been added
a)
$ 1.80
b)
$ 4.00
c)
$26.16
d)
$29.20
62.
Compute the sales commission:
Amount $4,500.00
Rate 5%
a)
$225.00
b)
$250.00
c)
$125.00
d)
$230.00
63.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
64.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
65.
What percent is 40 of 200?
a)
10
b)
30
c)
20
d)
40
66.
What is 0.4 as a percent?
a)
40%
b)
4%
c)
.4%
d)
400%
67.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
68.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

69.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

70.

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50

71.
Game Stop sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
15
b)
12
c)
20
d)
14
72.
If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour)
a)
55 mph
b)
60 mph
c)
58.5mph
d)
65mph
73.
If a cupcake has 240 calories for 3 servings, how many calories for 5 servings?
a)
80 calories
b)
400 calories
c)
46 calories
d)
144 calories
74.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
75.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
76.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
77.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
78.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
79.
Determine if it is possible to form a triangle with the given side lengths. 2 mm, 2 mm, 8 mm
a)
yes
b)
no
80.
Determine if it is possible to form a triangle with the given side lengths. 5 ft., 5 ft., 10 ft.
a)
yes
b)
no
81.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20