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EOY Review Math 7

Total questions: 57

Worksheet time: 14hrs 15mins

Name
Class
Date
1.

Simplify  5y9x(4yx)5y-9x-\left(4y-x\right)  

a)

y10xy-10x  

b)

9y8x9y-8x  

c)

y8xy-8x  

d)

y+10xy+10x  

2.

Find the perimeter of the shape:

a)

a+10a+10

b)

13a13a

c)

3a+53a+5

d)

3a+103a+10

3.

Which expression shows that n is increased by 60%?



a)

1.6n

b)

n + 0.6

c)

0.6n

d)

1 + 0.6n

4.

A store sells  2 12lbs.2\ \frac{1}{2}lbs.  of beef for $13.50. What is the unit price.

a)

$5.40

b)

$11

c)

$33.75

d)

$0.185

5.

A recipe calls for 4 354\ \frac{3}{5}  cups of vinegar and 10 eggs. Cindy only has 6 eggs, how much vinegar does she need?

a)

8.68.6  cups

b)

.46.46  cups

c)

4.64.6  cups

d)

2.762.76  cups

6.

Which equation DOES NOT represent a proportional equation?

a)

y=4xy=4x

b)

y=4x8y=4x-8

c)

y=x4y=\frac{x}{4}

d)

y=4xy=-4x

7.

If Peter's house is 15 ft wide and he is making a scale drawing with a scale of 0.5in=2 ft, how wide should the house be on his drawing?

a)

15 in

b)

30 in

c)

3.75 in

d)

7.5 in

8.

A $45 jacket is 20% off. What is the sale price?

a)

$44.80

b)

$9

c)

$36

d)

$54

9.

What makes a proportional graph?

a)

It must be linear and pass through the origin

b)

It must be linear

c)

It must pass through the origin

d)

It must have arrows

10.

What is the circumference of a circle with a diameter of 12 in?

a)

6 in

b)

24 in

c)

37.68 in

d)

75.36 in

11.
The students measured length during a science experiement, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?
a)
15.79%
b)
18.75%
c)
2.25%
d)
18%
12.
How long does Ed need to keep $600 dollars in an account that pays 2.75% annual simple interest to earn $264.00?
a)
3 months
b)
3 years
c)
16 years
d)
16 months
13.

The original quantity is 5 and the new quantity is 3. What is the percent change? Is it an increase or decrease?

a)

40% increase

b)

40% decrease

c)

0.4% increase

d)

0.4% decrease

e)

0.04% increase

14.

An item that costs a company $44 is marked up to $70.40. What is the markup rate?

a)

26.4%

b)

62.5%

c)

60%

d)

37.5%

15.
a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

16.

Which of the tables above are proportional?

a)

Table 5 only

b)

Tables 5 and 8

c)

Tables 6 and 7

d)

None of the tables are proportional.

17.

If the relationship in the table is proportional, write its equation.

a)

y=16xy=16x

b)

y=8xy=8x

c)

x=8yx=8y

d)

x=16yx=16y

e)

The relationship is not proportional

18.

Ella played a math game and had five cards shown. Her score was the sum of the numbers on these five cards. What was Ella's score?

a)

3

b)

23

c)

-5

d)

10

19.
Mr. Smith has an account balance of -$275.78.  He deposits $539.20 into his account.  What is Mr. Smith's account balance now?
a)
$813.98
b)
$263.42
c)
$539.78
d)
$345.98
20.

(b - 7) (-7)

a)

-7b + 49

b)

7b - 49

c)

b - 14

d)

-7b - 14

21.

Simplify the expression:
  62(7x3)6-2\left(7x-3\right)  

a)

-14x

b)

-14x + 12

c)

14x 

d)

5x +1

22.

Simplify


-(4 - 5x) - 7x + 11

a)

-2x + 7

b)

12x + 15

c)

2x + 15

d)

-12x - 15

23.
Solve the equation for x:
8x + 9 - 7 = 18
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
24.
-4 + 5x + 13 = 49
a)
x=-2
b)
x=5
c)
x=7
d)
x=8
25.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
26.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
27.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
28.

Solve the following:  2(z4)18-2\left(z-4\right)\ge18  

a)

z>5z>-5  

b)

z5z\le-5  

c)

z5z\ge-5  

d)

z<5z<-5  

29.

Solve the following:  1 + x7 > 41\ +\ \frac{x}{7}\ >\ 4  

a)

x < 21x\ <\ 21  

b)

x > 21x\ >\ 21  

c)

x > 37x\ >\ \frac{3}{7}  

d)

x < 37x\ <\ \frac{3}{7}  

30.

A video-game enthusiast saved $750 to spend on a video game player and games. The player costs $400. The games cost $49 each. At most, how many games can the enthusiast buy along with the player?

a)

They can buy up to 7 games.

b)

They can buy at least 7 games.

c)

They can buy up to 7 177\ \frac{1}{7} games.

d)

They buy at least 400 games.

31.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
32.

Which is the best estimate of the area of the figure?

a)

12,717 ft212,717\ ft^2

b)

8,100 ft28,100\ ft^2

c)

27,176 ft227,176\ ft^2

d)

19,074 ft219,074\ ft^2

33.

What is the area of the unshaded region?

a)

117 cm2117\ cm^2

b)

33.5 cm233.5\ cm^2

c)

58.5 cm258.5\ cm^2

d)

25 cm225\ cm^2

34.

Determine the measure of the unknown angle in the triangle.

(a)  

35.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
36.
a)

66.5

b)

63

c)

46

d)

42

37.

What is the measure of 􏰑Angle SRP?

a)

45

b)

71.6

c)

82.6

d)

90

38.
a)

93in2

b)

84in2

c)

76in2

d)

85in2

39.
a)

190cm2

b)

142.7cm2

c)

28cm2

d)

163.8cm2

40.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
216 yd3
b)
108 yd3
c)
72 yd3
d)
36 yd3
41.

Match the following:

a)

Formula for Volume of a Pyramid

1.

V = 1/3 Bh

b)

B

2.

Area of the Base

c)

h

3.

height

d)

Formula for Volume of a Prism

4.

V = Bh

42.

Find the volume.

a)

18 m3

b)

20 m3

c)

16 m3

d)

22 m3

43.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
44.
Find the MAD for the following set: 85, 90, 68, 75, 79
a)
79.4
b)
6.48
c)
32.4
d)
79
45.
What is the median?
a)
62
b)
58
c)
66
d)
60
46.
What value is the lower quartile (Q1)?
a)
66
b)
58
c)
60
d)
64
47.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
48.
Find the interquartile range using the following.
Minimum:  1
Q1:  3
Median:  5
Q3:  7
Maximum:  9
a)
8
b)
4
c)
5
d)
10
49.
Find the interquartile range using the following data.
18, 15, 22, 16, 17, 15, 12, 22, 13
a)
34
b)
16
c)
6
d)
10
50.
Use the box-and-whisker plots to determine which statement is not true.
a)
The interquartile range of the men’s ages is greater than the interquartile range of the women’s ages.
b)
The youngest member of the club is a woman.
c)
The median of the men’s ages is greater than the median of the women’s ages.
d)
The range of the men’s ages is greater than the range of the women’s ages.
51.

Joseph rolled a number cube 50 times. The table shows the cumulative results of each roll. What is the relative frequency of rolling a 4? Select all that apply.

a)

0.18

b)

950\frac{9}{50}

c)

67.7%

d)

46\frac{4}{6}

e)

18%

52.

If you toss a coin 10 times and get tails each time, which of the following is true?

a)

The probability of getting a tail on the next toss is more than 12.\frac{1}{2}.

b)

The probability of getting a head on the next toss is more than 12.\frac{1}{2}.

c)

The probability of getting a head on the next toss is 12.\frac{1}{2}.

d)

The probability of getting a tail on the next toss is greater than the probability of getting a head.

53.

A coin is flipped three times. What is the probability that the coin will land tails up once and heads up twice, if the order doesn't matter?

(Hint: Draw a tree diagram to help you.)

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

12\frac{1}{2}

e)

38\frac{3}{8}

54.

7) A teacher has a container of paper clips. She will randomly select one paper clip from the container.

● The container has 8 pink paper clips.

● The container has 14 purple paper clips.

● The container has 12 yellow paper clips.

● The container has 16 blue paper clips.

Complete the statement below.


The probability of selecting a purple paper clip is ​ ​ (a)   , and the probability of selecting a paper clip that is not purple is ​​ (b)   .

Choose from the below words
34\frac{3}{4}
14\frac{1}{4}
12\frac{1}{2}

725\frac{7}{25}  

1825\frac{18}{25}  

55.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
56.

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

a)

7 combinations

b)

12 combinations

c)

3 combinations

d)

4 combinations

57.

All possible outcomes of spinning the pointers of two spinners with​ equal-sized sections labeled 1 through 3 are recorded in the table. Find the probability that the sum of the numbers shown on each spinner will be greater than or equal to 5.

a)

1/3

b)

4/9

c)

1/9

d)

2/3