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Rising 8th Graders Summer Math Assignment 2018

Total questions: 61

Worksheet time: 3hrs 25mins

Name
Class
Date
1.

Mrs. Math plans to eat 523 ice cream cones this summer. Mrs. Math has already eaten 128 ice cream cones (YUM!). How many cones must she eat to reach her goal?

a)

too many to count

b)

359

c)

395

d)

651

2.
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in.  What is the current temperature?
a)
14
b)
34
c)
-14
d)
-34
3.
-20+(-11)
a)
31
b)
9
c)
-9
d)
-31
4.
 18 - (-4)
a)
-22
b)
4
c)
22
d)
-4
5.
-8 + 13
a)
21
b)
-21
c)
5
d)
-5
6.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
7.
A dolphin is swimming 10 feet below the surface. It descends another 12 feet before rising 4 feet. Which of the following would be the correct way to solve this word problem?
a)
-10 + -12 + -4
b)
-10  - 12 + 4
c)
10 - 12 - 4
d)
-10 + 12 + 4
8.
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
a)
13
b)
3
c)
-2
d)
-4
9.
72÷(-8)
a)
-9
b)
9
c)
7
d)
-7
10.
−15  ×  −30  ×  20  ×−100 =
a)
-50,000
b)
−70,000
c)
−900,000
d)
-500,000
11.
Solve:
(-2)(-1)(-3)(-4)(-1)
a)
-11
b)
24
c)
-24
d)
11
12.
Evaluate the expression
-8 - 14 ÷ 2 + 5 
a)
-10
b)
10
c)
-3.14
d)
3.14
13.
Evaluate the expression
24 ÷ (-4) + (-2)
a)
-8
b)
8
c)
-10
d)
10
14.

Evaluate the expression

4 + (-4 ⋅ 4) ÷ 8

a)

2

b)

-3

c)

-2

d)

3

15.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
16.
Find the Unit Rate.
 405 rotations in 5 minutes   
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
17.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
18.
The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in simplest form?
a)
5/9
b)
8/10
c)
4/5
d)
18/10
19.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
20.
-3/7 + 4/5
a)
43/35
b)
-13/35
c)
-43/35
d)
13/35
21.
- 1/3 + (-1/6)
a)
-1/2
b)
-2/6
c)
1/3
d)
-2/18
22.
 A girl's hair is 12 ⅜ inches long. If she has 2 1/2 inches cut off, how long will her hair be?
a)
10 1/4 inches
b)
10 3/16 inches
c)
9 7/8 inches
d)
10 7/8 inches
23.
a)
-18 2/3
b)
-17 13/24
c)
-18 13/24
d)
1 19/24
24.
a)
-6 2/3
b)
-5 2/3
c)
-4 2/3
d)
-1/3
25.
a)
-1/18
b)
-1  1/18
c)
1/18
d)
1  1/18
26.
Find the distance between the two numbers on a number line.
−2.2, 8.4 
a)
6.2
b)
-6.2
c)
10.6
d)
-10.6
27.

Find the distance between the two numbers on a number line.

a)

5 11/12

b)

-3 1/3

c)

3 1/3

d)

10 2/3

28.
6.59 + (−7.8) − (−2.41)
a)
16.8
b)
11.98
c)
-3.62
d)
1.2
29.
a)
6  2/3
b)
8  2/3
c)
32/39
d)
5  2/3
30.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
31.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
32.

What does 32 mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

33.
What step would I do second ? (4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
34.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
35.
Which operation would you do first?
10 - 7 + 8 ÷ 1
a)
Subtraction
b)
Addition
c)
Division
d)
Multiplication
36.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
37.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
38.

What is 23% of 65?

a)

14.95

b)

15.95

c)

16

d)

13.75

39.
What is 33% of 50?
a)
16
b)
16.3
c)
17.4
d)
16.5
40.
Sticky hands cost $0.50 each Mrs. Rice wants to purchase 100 sticky hands. How much will she pay?
a)
$50.00
b)
0.50
c)
$500
d)
$5.00
41.
What is 0.2 x 0.002?
a)
0.4
b)
0.0004
c)
4.0
d)
.004
42.
What is the product of 1.7 and 0.2?
a)
3.4
b)
0.19
c)
0.34
d)
1.9
43.

Mrs. Rice is buying her class snacks for each student. If there are 25 students in her classes and snacks cost $0.75 each, about how much will she spend? Round to the nearest dollar.

a)

$20.00

b)

$19.00

c)

$18.50

d)

$18.00

44.

John is measuring his bedroom wall using his shoe. If his shoe is 9.8 inches long and he measured 27 shoe lengths, about how long is his wall? (hint: estimation)

a)

264.6

b)

270

c)

300

d)

200

45.
4.5 x 6.2
a)
2,790
b)
279
c)
27.9
d)
2.79
46.

What is the most accurate estimate for the following problem:

35.22 x 12.8

a)

455

b)

450.8

c)

360

d)

468

47.

What is the most accurate estimate for the following problem:

9.89 x 34.6

a)

350

b)

306

c)

3332

d)

300

48.

What is the most accurate estimate for the following problem:

98.76 ÷ 5.4

a)

100 divided by 5

b)

98 divided by 5

c)

100 divided by 6

d)

99 divided by 4

49.

Solve the following problem.

318.5 ÷ 3.5

a)

91

b)

9.1

c)

910

d)

92

50.
What number is 20% of 102?
a)
204
b)
122.4
c)
20.4
d)
20
51.

What is 3% of 750?

a)

2.25

b)

22.5

c)

225

d)

250

52.

The Middletown Zoo has 130 different exhibits. Of those 130 exhibits, 30% of them contain birds. How many exhibits contain birds?

a)

49

b)

39

c)

60

d)

25

53.

Sam bought an $85 jacket for 40% off the regular price. How much did he pay for the jacket?

a)

75

b)

36

c)

51

d)

48

54.

What is the first step you perform to each side when solving this equation:

5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

55.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
56.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
57.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
58.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
59.

Solve:

-4(x - 5) = -12

a)

7

b)

4

c)

8

d)

1.75

60.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
61.
Find the Error
What error did the student make when solving the equation:
5x + 6 =  66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300
a)
The student subtracted 6 from both sides instead of adding
b)
Student multiplied by 5 instead of dividing by 5
c)
Student got the wrong answer when subtracting 66-6
d)
The student did not correctly eliminate the variable from one side of the equation

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