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Math 7 End of Year Review

Total questions: 89

Worksheet time: 4hrs 27mins

Name
Class
Date
1.

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

a)

21.33 miles

b)

80 miles

c)

4,800 miles

d)

800 miles

2.

Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?

a)

13

b)

2.5

c)

12

d)

18

3.

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

a)

100

b)

200

c)

300

d)

400

4.

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

a)

3 : 8

b)

3 : 5

c)

2 : 8

d)

2 : 5

5.
a)

15

b)

20

c)

25

d)

30

6.

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

a)

6 hearts to 9 stars

b)

2 hearts to 4 stars

c)

1 heart to 3 stars

d)

8 hearts to 10 stars

7.

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week?

a)

$80

b)

$75

c)

$60

d)

$55

8.

A store sells cans of tomatoes priced as shown. Which size can of tomatoes has the lowest cost per ounce?

a)

10 ounces

b)

15 ounces

c)

18 ounces

d)

32 ounces

9.

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?

a)

18.4%

b)

28.7%

c)

34.6%

d)

40.2%

10.
Solve for x
15+x=45
a)
45
b)
15
c)
30
d)
-15
11.
Write the decimal as a fraction 
.5
a)
5/100
b)
1/2
c)
50/1000
d)
1/3
12.
Write the fraction as a decimal 
3/10
a)
.03
b)
3
c)
.3
d)
3.0
13.
-15 - -10
a)
-5
b)
5
c)
-25
d)
15
14.
-10 + 15
a)
5
b)
-5
c)
-25
d)
25
15.
13²
a)
169
b)
26
c)
39
d)
159
16.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

17.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
18.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
19.
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
20.

There are 40 houses in a neighborhood. In this this neighborhood, company z provides electricity to -

a)

21 houses

b)

24 houses

c)

16 houses

d)

19 houses

21.

The 17 students on the math team want to raise $483.62 to buy practice books. They have already raised $218.25. If each student raises the same amount, how much more money must each student raise?

a)

$15.61

b)

$12.84

c)

$28.45

d)

$41.29

22.

Wendy had 35 tickets for games at a carnival. She use 1/5 of the tickets to play the ball-toss game. She then used 1/2 of the remaining tickets to play the ring-toss game, in which she won 5 more tickets. How many tickets did Wendy have after playing these games?

a)

7

b)

19

c)

14

d)

28

23.

A marble are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is replaced. Find the probability of drawing a marble that is purple. 

a)

3/5

b)

3/4

c)

3/20

d)

2/5

24.

The number of years each employee has worked for a company is shown in the dot plot.

What percentage of the employees have worked for the company for more than 35 years?

a)

10%

b)

90%

c)

35%

d)

30%

25.

Destiny earns $800 a month. The table shows her monthly budget.

Which statement is supported by the information in the table?

a)

Destiny spends 10% of her monthly budget on clothes and food.

b)

Destiny spends 25% of her monthly budget on her car payment.

c)

Destiny spends 20% of her monthly budget on college savings.

d)

Destiny spends 50% of her monthly budget on her car payment and cell phone.

26.
Make the percent to decimal.
7%
a)
.007
b)
0.07
c)
7
d)
70
27.
Make the percent to decimal.
0.32%
a)
32
b)
0.32
c)
3.2
d)
0.0032
28.
In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?
a)
3%
b)
30%
c)
10%
d)
70%
29.
12 is what percent of 30?
a)
60%
b)
40%
c)
250%
30.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
31.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
32.
Solve:
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
33.
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.
34.
A blues musician signed a contract at Municipal Auditorium. The contract stated that the musician will receive 40% of the money from ticket sales. Tickets cost $14.35, and 2,318 tickets were sold. How much money should the blue musician receive from ticket sales?
a)
$13,305.32
b)
$13,592.54
c)
$13,830.85
d)
$14,119.28
35.
What is the absolute value of the point represented by the letter S?
a)
-4
b)
0
c)
1
d)
4
36.
Which of these expressions has the greatest value?
a)
-3 - -6
b)
-3 x -6
c)
-3 + -6
d)
-3 ÷ -6
37.
What scale factor was used to scale the rectangle?
a)
1/4
b)
1/3
c)
3
d)
4
38.
What is the value of x?
a)
4
b)
6
c)
15
d)
21
39.
Which is a good example of two ratios that are proportional? 
a)
1/3 = 4/7
b)
1/2 = 2/4
c)
15/1 = 30/5
d)
20/10 = 35/5
40.
How do you know if a graph is proportional?
a)
The line will pass through the origin and be curved.
b)
The line must be straight and pass through the origin.
c)
The line must pass through any point on the "y- line"
d)
The line will be positive.
41.
Find the constant of Proportionality:
a)
5
b)
2.5
c)
3
d)
1.5
42.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
43.

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

a)

5 pieces

b)

0.2 pieces

c)

50 pieces

d)

60 pieces

44.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
45.
Write an equation to represent this word problem.
a)
5 + 4e = 25
b)
5 = 4e + 25
c)
5 + 4 + 25
d)
4 - 4e = 25
46.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
47.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
48.
Which number line shows the solution to:
11x + 14 < –8? 
a)
a
b)
b
c)
c
d)
d
49.

Which equation represents the graph?

a)

y = -25x

b)

y = x - 25

c)

y = x + 25

d)

y = 25x

50.

Which tables represent additive relationships? Choose ALL that are correct.

a)
b)
c)
d)
51.

Cecil walks 2 meters every second. The number of seconds is represented by x, and the number of meters he walks is represented by y. Choose the correct graph and table.

a)
b)
c)
d)
52.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
53.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
54.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
55.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
56.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
57.
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.
58.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
59.
In the equation 4y - 9 = -36
y = -4
a)
True
b)
 False
60.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

61.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

62.

Find the slope:

a)

34\frac{3}{4}

b)

43\frac{4}{3}

c)

14\frac{1}{4}

d)

31\frac{3}{1}

63.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
64.

Determine the y-intercept from the table.

a)

-2

b)

2

c)

9 

d)

7 

65.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
66.
a)
b=1
b)
b=-1
c)
m=1
d)
b=4
67.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
68.
How many students are between 60 and 63 inches tall?
a)
3
b)
0
c)
12
d)
7
69.

How does the mean number of miles driven for Driver A compare to the mean number of miles driven by driver B?

a)

Driver A drove more than Driver B when comparing means.

A: 200

B: 191

b)

Driver B drove more than Driver A when comparing means.

A: 189

B: 202

c)

Driver B drove more than Driver A when comparing means.

A: 190.1

B: 200.3

d)

Driver A drove more than Driver B when comparing means.

A: 200.3

B: 190.1

70.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
71.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
72.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
73.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
74.
Which of the following quadrilaterals is a rhombus with four right angles?
a)
trapezoid
b)
square
c)
rectangle
d)
paralellogram
75.
Which attribute do squares and rectangles have in common?
a)
diagonals perpendicular
b)
one pair of parallel sides
c)
four congruent sides
d)
four right angles
76.
a)

is symmetrical

b)

not symmetrical

77.
a)

Is symmetrical

b)

not symmetrical

78.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
79.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
80.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
81.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
82.
Determine where X' would be if you translated 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
83.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
84.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
85.

The following represents which property?


-2 + 3y = 3y + (-2)

a)

Associative Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Inverse Property of Addition

86.

What property is illustrated below?


2 + 0 = 2

a)

Inverse Property of Addition

b)

Commutative Property of Addition

c)

Identity Property of Addition

d)

Associative Property of Addition

87.

What property is illustrated below?

(-7 * 2) * 3 = -7 * (2 * 3)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Identity Property of Multiplication

88.

What property is illustrated below?


(2x + 3y) * 0 = 0

a)

Inverse Property of Multiplication

b)

Identity Property of Multiplication

c)

Property of Zero

d)

Commutative Property of Multiplication

89.

The following represents which property?

2(-1x + 3) = 2(-1x) + 2(3) =

a)

Inverse Property of Addition

b)

Distributive Property

c)

Associative Property of Addition

d)

Commutative Property of Addition

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