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7th grade spring semester review

Total questions: 91

Worksheet time: 3hrs 13mins

Name
Class
Date
1.
Find the Greatest Common Factor of 15 and 6:
a)
5
b)
6
c)
3
d)
2
2.
What are the next three multiples? 6, 12, 18, ___ ,___ ,___
a)
24, 30, 34
b)
24, 36, 42
c)
22, 28, 34
d)
24, 30, 36
3.

Solve : [Hint there are 2 answers and one has a remainder] 56÷956\div9

a)

6 R 2

b)

6 R 4

c)

6.2

d)

6.2222222222222.......

4.
5 ÷ -1=
a)
5
b)
4
c)
-5
d)
-6
5.
-4 * 18 =
a)
22
b)
-22
c)
72
d)
-72
6.
-200 ÷ -25 =
a)
8
b)
-8
c)
175
d)
-175
7.
-5*5
a)
25
b)
0
c)
-25
d)
10
8.
6 - (-9) =
a)
-3
b)
3
c)
15
d)
-15
9.
14 - 9 = ____
a)
23
b)
-23
c)
5
d)
-5
10.
(-14) - 9 = ______
a)
23
b)
-23
c)
5
d)
-5
11.
14 - (-9) = ______
a)
23
b)
-23
c)
5
d)
-5
12.
(-14) - (-9) = _______
a)
23
b)
-23
c)
5
d)
-5
13.
(-24) + (-15)
a)
-39
b)
39
c)
9
d)
-9
14.
15 + (-35)=
a)
20
b)
50
c)
-20
d)
-50
15.
(-9) + 4
a)
5
b)
-5
c)
13
d)
-13
16.
Use the number line to help you answer the question. Which statements are true? Check all that apply.
a)
–4 < –8
b)
|–4| < |–8|
c)
|–5| > 1
d)
–5 > |1|
e)
|–2| = |2|
17.
Identify the appropriate integer for this statement: The temperature decreased by 17 degrees overnight.
a)
17
b)
-17
c)
7
d)
-7
18.
Which statements describe negative integers? Check all that apply.
a)
A ship sank to 25 meters below sea level.
b)
Josué climbed up 32 stairs.
c)
A rollercoaster went 50 feet up a hill.
d)
Jack lost $20.
19.
Order these rationals from least to greatest: -0.3, 0, 2.5, -4/5, 9/3 (hint: write out a number line and place rationals then order left to right)
a)
-0.3, -4/5, 0, 9/3, 2.5
b)
2.5, 9/3, 0, -0.3, -4/5
c)
-4/5, -0.3, 0, 2.5, 9/3
d)
-4/5, 9/3, -0.3, 2.5, 0,
20.

Compare the two numbers. Use >, <, or =for the blank. .75     34.75\ \ \ \ \ \frac{3}{4}

a)

>

b)

<

c)

=

d)

none

21.

Convert the fraction to a decimal and label it either repeating or terminating. 298\frac{29}{8}

a)

3.6; terminating

b)

3.625; terminating

c)

1.2083...;repeating

d)

3.2653...; repeating

22.
Which point could represent 5/3?
a)
A
b)
B
c)
C
d)
D
23.
Compare the two numbers. Use >, <, or =for the blank.2.988 ___ 2.863
a)
>
b)
<
c)
=
d)
none
24.
How is .008 written as a fraction without being simplified
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
25.
Which one is the reciprocal of 2/11
a)
22
b)
.18
c)
2/11
d)
11/2
26.

How is .008 written as a fraction simplified

a)

1125\frac{1}{125}

b)

2250\frac{2}{250}

c)

81000\frac{8}{1000}

27.

Evaluate the following Algebraic Expression:

-4v / c2 , when v = -7 and c = -2

a)

-7

b)

7

c)

1/7

d)

196

28.

If x = 3, then 5x + 2 =

a)

19

b)

17

c)

11

d)

6

29.

The Earth travels around the Sun at approximately 30 kilometers per second. At this rate, about how many kilometers does the Earth travel in 2 minutes?

a)

15 kilometers

b)

60 kilometers

c)

1,800 kilometers

d)

3.600 kilometers

30.

What is the value of the expression?

24 - 2(1 + 32)

a)

4

b)

10

c)

31

d)

220

31.

The total amount of money, in dollars, Sandy earns for working h hours is represented by this expression:

15h

How much does Sandy earn for working 35 hours?

a)

$20

b)

$50

c)

$525

d)

$1535

32.

Evaluate the following equation:

6 - y = 12

a)

6

b)

-6

c)

18

d)

-18

33.

x-6=78

a)

72

b)

-72

c)

84

d)

-84

34.

4x=-24

a)

-6

b)

6

c)

106

d)

-106

35.

k/5=3

a)

-15

b)

53

c)

15

d)

-53

36.

x-(-9)=14

a)

5

b)

-23

c)

23

d)

-5

37.

-3x=24

a)

8

b)

-8

c)

72

d)

-72

38.
What number is 20% of 102?
a)

204

b)

122.4

c)

20.4

d)

20

39.
Calculate 25% of 80
a)

20

b)

80

c)

48

d)

95

40.
What is 15% of 82?
a)

12.3

b)

123

c)

1.23

41.
Find the percent of change for minimum wage $8.10 increased to $15.00
a)

85.19%

b)

46%

c)

54%

d)

83.27%

42.
Mr. Wood smiled 3 out of the 51 days we have been in school, what is the percent of times he did not smile?
a)
5.88%
b)
16%
c)
87.76%
d)
94.12%
43.
The simple interest formula is I=Prt.  The P represents the principle.  The principle is ___________________.  
a)

the amount of money borrowed or deposited

b)

the percent interest for his year

c)

the amount taxed

d)

the amount the bank owes you for being a customer at their bank

44.
The rate is given as a percent (%).  Before using it in the simple interest formula, you must first convert it to a______.
a)

fraction

b)

decimal

c)

ratio

d)

dollar amount

45.
Write the percent as a decimal. 
4.3%
a)

4.3

b)

.43

c)

.043

d)

4300

46.

What does the "I" in the interest formula stand for?

a)

Important

b)

Interest

c)

Internet

d)

Igloo

47.

I = PRT

Starting money = $350.

Interest rate = 2.5%

TIme = 3 years.

How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

48.

What does the "r" in the interest formula stand for?

a)

Principal

b)

Interest

c)

rate

d)

time

49.
Convert 18 months to years. 
a)
18 Years
b)
1.5 Years
c)
.18 Years
d)
.6 repeating Years
50.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
51.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
52.
A car travels 420 miles in 8 hours.  If the car continues at the same rate, how far will it travel in 12 hours?
a)
630 miles
b)
630 hours
c)
600 miles
d)
540 hours
53.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$6.50 per pizza

54.

A unit rate is a rate in which the unit in the denominator is:

a)

1

b)

3

c)

2

55.

A comparison of two quantities (amounts)

a)

Ratio

b)

Unit Rate

c)

Rate

56.

What is a ratio that compares two quantities with different kinds of units

a)

Raioi

b)

Rate

c)

Unit Rate

57.

The rate for one unit of a given quantity (the amount per)....

a)

Unit Rate

b)

Ratio

c)

Rate

58.

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

a)

408 words per minute

b)

100 words per minute

c)

400 words per minute

d)

102 words per minute

59.
What is the perimeter of the rectangle? (Hint: top matches the bottom, left matches the right!)
a)
28 sq feet
b)
28 feet
c)
48 feet
d)
48 sq feet
60.
What is the perimeter of the fence?
a)
25
b)
30
c)
35
d)
40
61.
What is the formula for finding area of a rectangle?
a)
A = l•w
b)
A = s•df
c)
A = b•c
d)
A and C
62.
A perimeter of a rectangle is 20 meters.  The width is 4 meters.  What would the length be?
a)
6 m
b)
13 m
c)
15 m
63.
Farmer Bob needs to build a fence for his chickens.  The area he wants to build a fence around is 40 feet long and 20 feet wide.  How many feet of fence does he need to buy?
a)

800 feet

b)

120 feet

c)

60 feet

64.

The space inside an object is called it's

a)

area

b)

perimeter

65.

Squares are equal on all sides. Area is the amount of space an object takes up. Area = length x width. So, the area of this square would be ...

a)

5 + 5 + 5 + 5 = 20

b)

5 x 4 = 20

c)

5 x 5 = 25

d)

5 + 5 = 10

66.

What is the perimeter of this polygon?

a)

32 meters

b)

28 meters

c)

26 meters

d)

30 meters

67.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
68.

__________: A ratio between the measurements of the drawing and of the actual object.

a)

scale drawing

b)

constant of proportionality

c)

scale

d)

unit rate

69.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
70.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

71.

Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters. Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

a)

15x = 6.215x\ =\ 6.2

b)

6.2x = 156.2x\ =\ 15

c)

16.2 = x15\frac{1}{6.2}\ =\ \frac{x}{15}

d)

16.2 = 15x\frac{1}{6.2}\ =\ \frac{15}{x}

72.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
73.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
74.

Find the area: Remember the formula is [(b1+b2)*h]/2

a)

84 m2

b)

168 m2

c)

112 m2

d)

56 m2

75.

Find the area. Remember the formula is b*h

a)

88

b)

60

c)

82.5

d)

660

76.

Find the area of the triangle. Remember the formula is (b*h)/2

a)

46.87 yd2

b)

93.74 yd2

c)

132.98 yd2

d)

66.49 yd2

77.

Find the area of the trapezoid. Remember the formula is [(b1+b2)*h] / 2

a)

120 square feet

b)

172.8 square feet

c)

60 square feet

d)

86.4 square feet

78.
The flag of Ohio is the only state flag that is not in the shape of a rectangle. What is the perimeter of this Ohio flag?
a)
16 ft
b)
14.5 ft
c)
15 ft
d)
12 ft
79.
Find the missing sides and the perimeter
a)
21 miles
b)
23 miles
c)
20 miles
d)
28 miles
80.
Find the missing sides and the perimeter
a)
34 cm
b)
35 cm
c)
30 cm
d)
7 cm
81.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
82.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
83.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
84.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

85.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

86.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
87.

A dolphin travels through the water at a speed of 25 kilometers per hour. Select two representations that show the distance a dolphin can travel at this rate.

a)
b)

y = x + 25

c)
d)

In 5 hours the dolphin can travel 125 kilometers.

88.

Which of the following statements is TRUE about the graph? Choose all that apply.

a)

The point (2, 8) shows that 8 pounds of cheese cost$2.00.

b)

The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

c)

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

d)

The point (0.25, 1) shows the cost is $0.25 for 1pound of cheese.

e)

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

89.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
90.

 

The constant of proportionality can be found by finding the __________  _____________.

a)

proportion answer

b)

unit rate

c)

rational number

d)

ratio rate

91.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional