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7th grade Math Review

Total questions: 64

Worksheet time: 4hrs 26mins

Name
Class
Date
1.
At the beginning of the week, the temperature was 14 degrees Fahrenheit. During the week, it decreased by 25 degrees Fahrenheit. What was the temperature by the end of the week?
a)
39 degrees F
b)
11 degrees F
c)
-11 degrees F
d)
-39 degrees F
2.

7.NS.A.1.C

Which show the same situation as 2-3?

Choose all that apply.

a)

2 + - 3

b)

3 - 2

c)
d)

Andy has 2 dollars, but he owes 3 to Amanda.

3.

At noon, a submarine was 200 feet below sea level. At 6:00 p.m., the submarine was 3/4 as deep. Which equation correctly shows the depth of the submarine at 6:00 p.m.?

a)

-200(3/4) = -150

b)

-200(3/4) = 150

c)

-200(3/4) = 800/3

d)

-200(3/4) = -800/3

4.

During a drought the local lake was  2142\frac{1}{4}  feet below normal levels. Two weeks later, the water level dropped an additional 1381\frac{3}{8}  feet. How far below the normal level was the water after two weeks?

a)

78\frac{7}{8}  

b)

3583\frac{5}{8}  

c)

−118-1\frac{1}{8}  

d)

−358-3\frac{5}{8}  

5.
On Saturday,12 friends go ice skating.Altogether,they pay $83.40 for admission.They share the cost equally.How much does each person pay?
a)
7.95
b)
6.95
c)
9.93
d)
8.73
6.

Alex is driving to Washington, DC for a weekend trip. He is able to drive 246 miles using 13 gallons of gas. What is the unit rate, in miles per gallon, that Alex is driving? Round your answer to the nearest tenth.

a)

19 mpg

b)

17.6 mpg

c)

18.9 mpg

d)

13.11 mpg

7.

The enrollment at Northtown Middle School last year was 640 students. This year the enrollment at the school was 560 students. By what percent did the enrollment decrease?

a)

85%

b)

87.5%

c)

14%

d)

12.5%

8.

Lauren purchased three t-shirts from Gap $24.99 each. The sales tax in North Carolina is 6.5%. What is the total cost of Lauren's t-shirts? Round your answer to the nearest hundredth.

a)

$79.84

b)

$26.61

c)

$91.21

d)

$76.59

9.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
10.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
11.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
12.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
13.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
14.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
15.

Choose the inequality that represents this situation:

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 < 10

d)

1.75m + 0.65 > 10

16.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
17.
Choose an expression that is equivalent to the following
6n + 2(3 - 5n)
a)
n + 6
b)
6 - 4n
c)
16n + 6
18.
50 = 28.1 + 0.15a
a)
a= 150
b)
a= 146
c)
a= 6
d)
a= 155
19.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
20.
Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee, n, Ken can buy?
a)
4.79n = 20.00
b)
20.00n = 4.79
c)
4.79 + n = 20.00
d)
4.79 − n = 20.00
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?
a)
30x + 600 > 1,500
b)
30x + 600 ≥ 1,500
c)
30x + 600 < 1,500
d)
30x + 600 < 1,500
24.
Which is equivalent to the expression below?    3p + 4 + p + 12 + 3q
a)
4p + 3q + 16
b)
4p + 19q
c)
6p + q + 16
d)
20p + 3q
25.
What is the definition of the mean?
a)
The average
b)
The middle number
c)
The difference between the highest and lowest numbers
d)
The number that occurs the most
26.

What is the definition of mode?

a)

# happening the most

b)

the average

c)

the difference between the largest and smallest values in the data set

d)

the middle #

27.
Can there be more than one mode?
a)
Yes
b)
No
28.

How do you find the median of a data set?

a)

Add up all the numbers and divide by the number of values in the data set

b)

Find the middle number of the data

c)

Order the numbers from least to greatest, then determine the middle number of the data

d)

Find the difference between the greatest and smallest values in the data set

29.
What is the definition of the range?
a)
The average
b)
The number that occurs the most
c)
The middle number
d)
The difference of the largest and smallest numbers
30.
Find the mean of the following numbers 40, 38, 46, 38, 51 and 57.
a)
45
b)
40
c)
38
d)
35
31.

Find the median of the following numbers 40, 38, 46, 38, 51 and 57.

a)

42

b)

38

c)

43

d)

46

32.

Find the mode of the following numbers 40, 38, 46, 38, 51 and 57.

a)

no mode

b)

51

c)

40

d)

38

33.

Find the range of the following numbers 40, 38, 46, 38, 51 and 57.

a)

21

b)

19

c)

17

d)

13

34.

What is the median?

a)

7

b)

12

c)

6

d)

2

35.

What is the mode?

a)

7

b)

3

c)

6

d)

5, 6, 11

36.

Variation of a set of data is determined by...

a)

The spread of data (more spread out = more variation)

b)

The mean

c)

The range

d)

The mode

37.
Which expression has a value of -19?
a)
(8-9) - 18
b)
8 - (-9)
c)
-9 - 8
d)
-1 - (-17)
38.

7.NS.A.2

Simplify the expression

a)

48

b)

32/6

c)

-48

d)

288/5

39.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
40.
Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
41.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
42.
Find the perimeter of the rectangle.
a)
3x + 7
b)
6x + 14
c)
18x + 6
d)
18x + 6
43.
Find the perimeter of the rectangle.
a)
16x + 20
b)
8x + 10
c)
80x
d)
18x
44.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
45.
3x + 10(1 – 7x)
a)
13x – 7
b)
–67x + 10
c)
–4x + 10
d)
–73x + 10
46.

Mrs. Smith wants to find the average height of all her students in her classes. She decides to use the first 5 boys who walk in the door.

a)

Random

b)

Biased

47.
Biased sampling is
a)
when you choose a population that is more likely to give you the result you want
b)
when you choose a group that is equally likely to be chosen
48.

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

a)

Biased Sample

b)

Population

c)

Random Sample

d)

Proportion

49.
Anna wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
a)
thirty students who are often tardy
b)
thirty students who are rarely tardy
c)
thirty of her friends
d)
thirty randomly selected students from her school
50.
A small town as 2,500 residents.  In a random sample of 125 residents, 2 have the flu.  Predict the number of residents of the town who have the flu.
a)
20
b)
40
c)
200
d)
400
51.

Drake made 14 out of 20 free throw shots. How many out of the next 30 free throw shots would you expect him to make?

a)

20

b)

21

c)

22

d)

25

52.
What is the first step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
53.
What is the second step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
54.
What is the third step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
55.
Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?
a)
⅚ laps
b)
⅔ laps
c)
¾ laps
d)
⅙ laps
56.
A Gatorade cooler has 36 cups of water. If a serving is ¾ of a cup how many servings are in the cooler?
a)
48 servings
b)
27 servings
c)
36 ¾ servings
d)
60 servings
57.
-2 ⅙ - (-1 ¾)
a)
-5/12
b)
3 11/12
c)
5/12
d)
-2 1/10
58.
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
59.
Convert 56% to a fraction, in simplest form.
a)
56/100
b)
14/25
c)
28/50
d)
56/1
60.
Determine which player has the best batting average.
Player A:  0.675
Player B:  67%
Player C:  34/50
a)
Player A
b)
Player B
c)
Player C
d)
They are all equal.
61.
Jaxson got 12 out of 20 questions correct on the test.  How many more questions would he have needed to get correct to receive a 80% on the test?
a)
16
b)
4
c)
18
d)
6
62.
There are 100 students in the eighth grade.  15% of the students in the grade ride to school in a car, 3/10 of the students walk to school, and the remaining students ride the bus to school. What fractional part of the students in the grade rides the bus to school?
a)
3/20
b)
3/10
c)
9/20
d)
11/20
63.

Convert 411\frac{4}{11}  to a decimal.


a)

2.752.75  

b)

0.360.36  

c)

2.75‾2.\overline{75}  

d)

0.36‾0.\overline{36}  

64.

At a party 11 of the 33 sodas available are orange flavored. What decimal represents the portion of sodas that are not orange flavored?

a)

2233\frac{22}{33}  

b)

0.6‾0.\overline{6}  

c)

1.51.5  

d)

0.3‾0.\overline{3}  

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