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Math 6/7 --7th grade Final Review

Total questions: 130

Worksheet time: 6hrs 5mins

Name
Class
Date
1.

The scale on a map is: 2 cm = 5 mi

If the distance from Anthony's house to

school is 16 miles, how long is the

distance on the map?

a)

4.5 cm

b)

6.4 cm

c)

40 cm

d)

9.3 cm

2.

12 is what percent of 80?

a)

5%

b)

10%

c)

15%

d)

20%

3.

Express the following expression in simplest form:


(6x2 + 2x) + (4x2 – x)

a)

6x2

b)

11x2

c)

2x2 + 3x

d)

10x2 + x

4.

Express in simplest terms:


7x2x + 3 – 5x2x – 1

a)

2x2 + 3

b)

2x2 - 2x + 2

c)

12x2 + 3

d)

12x2 - 2x + 2

5.

Solve the following equation for x:

6 = 2x + 14

a)

10

b)

-10

c)

4

d)

-4

6.

5 pounds of apples cost $6.45. You only need 1 pound for a recipe. How much will it cost for one pound of apples?

a)

$0.45

b)

$1.29

c)

$0.50

d)

$0.95

7.

Find the perimeter of the following rectangle:

a)

3x2 - 5x +1

b)

x2 - 7x - 1

c)

6x2 -7x + 7

d)

None of the above

8.
Dallas got a raise.  His hourly wage was increased from $9 to $10.25.  What was the percent increase in Dallas' wage to the nearest whole percent?
a)
10%
b)
12%
c)
14%
d)
125%
9.
The Healey family drove 192 miles in
4.5 hours. How many miles could they drive at this rate in 3 hours?
a)
64 mi
b)
77 mi
c)
128 mi
d)
184 mi
10.
What is the quotient of -18
÷ (-1/6)?
a)
-108
b)
-3
c)
3
d)
108
11.
Four croissants cost $2.60.  How much will it cost to purchase 7 croissants?
a)
$4.55
b)
$5.20
c)
$9.60
d)
$10.77
12.
Kenzie will save 15% if she opens a credit card.  She wants to buy a jacket for $120. How much will she save if she opens a credit card?
a)
$15
b)
$18
c)
$16
d)
$17
13.
Which of the following is the solution for the inequality below? -3x + 2 < 8
a)
x > -3
b)
x > -2
c)
x < -2
d)
x < -3
14.
A bicycle rental company charges a $12 fee plus $3 per hour. Which equation represents this linear relationship?
a)
y = 12x - 3
b)
y = 12x + 3
c)
y = 3x - 12
d)
y = 3x + 12
15.
For the box plot below, what is the difference between the medians for Test A and Test B?
a)
10
b)
15
c)
20
d)
30
16.
Which number line represents the solution to the inequality 4x + 20 < 40?
a)
Number Line A
b)
Number Line B
c)
Number Line C
d)
Number Line D
17.
You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?
a)
$ 1881.00
b)
$ 1079.00
c)
$ 1,079.10
d)
$ 1,709.1
18.
A movie ticket cost me $5.60 after a 20% coupon. What was the original price of the ticket?
a)
$7
b)
$4.48
c)
$28
d)
$1.12
19.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
20.
Which expression is equivalent to
4x - 20
a)
4(x -5)
b)
4(x + 5)
c)
4x(1 - 5)
d)
4x(1 + 5)
21.
Which point has the greatest absolute value?
a)
A
b)
B
c)
C
d)
D
22.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase.  The bank said that she could get a simple interest rate of 8% for 5 years.  What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260
23.
Solve for x:
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
24.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
25.
Does the table show a proportional relationship?
a)
yes
b)
no
26.
Does the table show a proportional relationship?
a)
yes
b)
no
27.
a)
-6
b)
-11/3
c)
11/3
d)
6
28.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
29.
Which number sentence is an example of the associative property?
a)
19+6=5x5
b)
3x9=9+3
c)
3x(2x6)=(3x2)x6
d)
4x0-4+0
30.
c + (-c) = 0  is an example of which property?
a)
associative property of addition
b)
additive inverse
c)
commutative property of addition
d)
multiplicative inverse
31.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
32.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
33.
What is 125% of 84 ?
a)
105
b)
188.5
c)
473.4
d)
356.7
34.

Bags of flour come in different sizes. Which is the best buy?

a)

a 2-lb bag of flour for $0.88

b)

a 3-lb bag of flour for $1.35

c)

a 5-lb bag of flour for $2.30

d)

a 10-lb bag of flour for $4.10

35.
At 6 A.M. the temperature was -8
°C.  At noon the temperature was 3°C.  What was the change of temperature between 6 A.M. and noon?
a)
-11°C
b)
-5°C
c)
5°C
d)
11°C
36.
4 + (- 8) = ___
a)
4
b)
-4
c)
12
d)
-12
37.
- 17  +  8 = ___
a)
9
b)
-9
c)
25
d)
-25
38.
- 17 + (- 8) = ___
a)
15
b)
- 25
c)
- 9
d)
25
39.
- 4 + (- 8) = ___
a)
4
b)
-4
c)
12
d)
-12
40.
15 + (- 6) = ___
a)
- 21
b)
9
c)
8
d)
10
41.
- 6 - 6 = ___
a)
- 1
b)
0
c)
12
d)
-12
42.
3 - (- 9) = ___
a)
4
b)
-4
c)
12
d)
-12
43.
-23 - (- 10) = ___
a)
- 33
b)
- 3 
c)
33
d)
-13
44.
15 - (- 10) = ___
a)
5
b)
25
c)
- 5
d)
- 25
45.
- 3 - 7  = ___
a)
 4
b)
- 4
c)
- 10
d)
10
46.
- 6 (- 6) = ___
a)
36
b)
- 36
c)
54
d)
42
47.
-15 (- 3) = ___
a)
-45
b)
- 30
c)
30
d)
45
48.
8 (- 3) = ___
a)
22
b)
- 24
c)
24
d)
32
49.
- 9 ( 3 ) = ___
a)
- 27
b)
  27
c)
  18
d)
   36
50.
12 (- 3) = ___
a)
36
b)
- 36
c)
54
d)
42
51.
- 9 ÷ ( 3 ) = ___
a)
- 27
b)
  2
c)
  3
d)
 - 3
52.
- 27 ÷ ( 3 ) = ___
a)
- 9
b)
  7
c)
  9
d)
 - 3
53.
- 45 ÷ ( - 9 ) = ___
a)
- 5
b)
  9
c)
  5
d)
 - 9
54.
- 32 ÷ ( - 8 ) = ___
a)
- 4
b)
  4
c)
  8
d)
 - 9
55.
- 72 ÷  8 = ___
a)
- 8
b)
  9
c)
  8
d)
 - 9
56.
     Sharon wants to make cookies for her class bake sale.  She found a recipe that calls for 2/3 cups of flour for each batch of cookies.  How many batches can she make using 12 cups of flour?
a)
12
b)
8
c)
6
d)
4
57.
 Timothy, James, and Sharon was playing a video game that awards black and red chips.  Each black ship is worth 1.5 points.  Each red chip is worth -0.5 points.   If Sharon has 10 black chips and 29 red chips, what is her total score?
a)
29.5
b)
0.5
c)
-29.5
d)
-0.5
58.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
59.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
60.
 In Detroit at 10 am, the temperature was -6 degrees.  By 2 pm, it had increased 20 degrees.  What was the temperature at 11 am?   (hint: Draw a number line)
a)
26 degrees
b)
-26 degrees
c)
14 degrees
d)
-14 degrees
61.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
62.
solve 
a)
- 2/9
b)
- 5/9 
c)
2/9
d)
no there
63.
solve
a)
1  1/2
b)
- 1 5/9
c)
1  5/9
d)
not here
64.
-5.7 + 0.9
a)
2.1
b)
-4.8
c)
-8.3
d)
-10.7
65.
-7.79 + 5.4
a)
4.61
b)
-2.19
c)
-2.39
d)
2.11
66.
a)
2.6785
b)
26.785
c)
-2.6785
d)
-26.785
67.
a)
-6/12
b)
-5/12
c)
5/12
d)
-5/7
68.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
69.
Multiply.
a)
-7  1/5
b)
-4/45
c)
-8
d)
7
70.
Solve 0.729 ÷ 1.5
a)
0.473
b)
0.466
c)
0.486
d)
0.491
71.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
72.
Will the answer be positive or negative?
-2 × (-5) × (-1) × (-9)
a)
Positive
b)
Negative
73.
Will the answer be positive or negative?
-2 + (-5) + (-1) + (-9)
a)
Positive
b)
Negative
74.

Use Order of Operations to solve:


-10 + (-5)(-5) =

a)

-35

b)

15

c)

-75

d)

25

75.

Use Order of Operations to solve:


4 ÷ -2 + -4 =

a)

-6

b)

6

c)

-6

d)

-2/3

76.

-0.2 x -0.2 x -0.2=

a)

-8

b)

-.08

c)

-.008

d)

.008

77.

2.1 + 2.1 + (-2.1)=

a)

2.1

b)

-2.1

c)

6.3

d)

4.2

78.

−⅓ x −½ x ⅓ =

a)

1/8

b)

-1/8

c)

1/18

d)

-1/18

79.

4.2 − 0.2 (6) =

a)

24

b)

3

80.

21 ÷ 7 + 4 (2)

a)

11

b)

14

c)

1 3/7

d)

9

81.
Which operation must be performed first?
52 + (9 - 1) ÷ 4 × 10 + 1
a)
52
b)
9 - 1
c)
4 × 10
d)
10 + 1
82.
(-2) × 4 - 32
a)
-17
b)
1
c)
-1
d)
17
83.
Which operation cannot be performed first?
62 + (-1 - 8) + 5 - 7(3 - 4)
a)
62
b)
-1 - 8
c)
5 - 7
d)
3 - 4
84.
-8(2 - 5) ÷ (-4)
a)
-6
b)
6
c)
8
d)
-8
85.
12 - (-4)2 + 4
a)
32
b)
8
c)
-8
d)
0
86.
Juliana and two friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?
a)
5/8
b)
12/5
c)
2    2/5
d)
4/15
87.
There are 9 people at a party, each person wants pizza. Only 4/6 of a pizza is left. How much pizza will each person get if they split it evenly?
a)
4/54
b)
4/15
c)
2/27
d)
36/6
88.
I have 9  1/2 cookies. I have to split the cookies evenly among 20 people. How much does each person get?
a)
19/40
b)
18/40
c)
1/2
d)
380/2
89.
What is the reciprocal of 2/3?
a)
2
b)
2/3
c)
3
d)
3/2
90.
6 ÷ 1/5
a)
6/5
b)
1/30
c)
30
d)
5
91.
Susan divides 8 cups of chocolate chips into 1/4 cup servings. How many servings does she have?
a)
2 cups
b)
1/32 cups
c)
2 servings
d)
32 servings
92.
-3 ¼ + ½
a)
-2 ¾
b)
3 ¾
c)
-3 ¾
d)
93.
-½ + -½
a)
- ¼
b)
1
c)
0
d)
-1
94.
Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?
a)
⅖ hours
b)
⅚ hours
c)
⅔ hours
d)
⅜ hours
95.
-2 ⅙ - (-1 ¾)
a)
-5/12
b)
3 11/12
c)
5/12
d)
-2 1/10
96.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?
a)
$32
b)
- $32
c)
- $5
d)
$30
97.
Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance?
a)
- $58
b)
- $112
c)
$58
d)
$112
98.
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position? 
a)
- 550 feet
b)
550 feet 
c)
- 1050 feet
d)
1050 feet
99.
In Buffalo, New York, the temperature was -14oF in the morning. If the temperature dropped 7oF, what is the temperature now? 
a)
7F
b)
-7F
c)
-21F
d)
21F
100.
In the Sahara Desert one day it was 136oF. In the Gobi Desert a temperature of -50oF was recorded. What is the difference between these two temperatures?
a)
86oF
b)
186oF
c)
80oF
d)
100oF
101.
A football team lost 9 yards on each of three consecutive plays. What was the team’s total change in position for the three plays?
a)
-9 yards
b)
3 yards
c)
-12 yards
d)
-27 yards
102.
a)
51/44
b)
5/7
c)
2  3/4
d)
44/51
103.

The table shows Anna’s last four recorded times in her 100-meter freestyle event. What is the average of these times?


Event Time(s)

1 70.15

2 67.20

3 66

4 65.65

a)

67.25 s

b)

269 s

c)

67.205 s

d)

66.93 s

104.
What is a possible integer that could be between -6 and 2 on a number line?
a)
4
b)
-8
c)
3
d)
-3
105.
Which of these terms do not fit in the following sentence? "I ______ $100 in the bank. The integer is +100."
a)
lost
b)
deposited
c)
gained
d)
received
106.

(-3/4) - (1/4)

a)

1

b)

0

c)

-1

d)

2

107.
You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?
a)
$ 1881.00
b)
$ 1079.00
c)
$ 1,079.10
d)
$ 1,709.1
108.
Mrs. Ray is buying some groceries.  They total to $35.50.  Sales tax is 4.5%.  When she goes to pay, how much will she owe?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$51.48
109.
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?
a)
29.90
b)
39.00
c)
4.00
d)
3.90
110.
Which is the decimal for 3.5%?
a)
3.5
b)
0.35
c)
0.0035
d)
0.035
111.
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
a)
33.60
b)
40.00
c)
24.60
d)
30.50
112.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
34
113.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
114.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
115.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
116.
Solve the proportion:
a)
4
b)
21
c)
24
d)
3
117.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
118.
Solve for c
a)
-7/2
b)
-2
c)
-1
d)
-13/2
119.
Solve for w
a)
10/3
b)
50/9
c)
46/9
d)
22/3
120.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
121.
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.
122.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
123.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
124.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
125.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
126.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
127.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
128.

34% of what number is 51?

a)

69

b)

71

c)

150

d)

196

129.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
c)
They are the same
130.
What is the correct answer?
a)
1
b)
4
c)
3
d)
2