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ACAP Review - 7th Grade Math

Total questions: 70

Worksheet time: 53mins

Name
Class
Date
1.

a)

the sum of John's score and Kamira's score

b)

the absolute value of the difference of John's score and Kamira's score

c)

the difference between John's score and Kamira's score

d)

the sum of the absolute value of John's score and the absolute value of Kamira's score

2.

A football team loses 5 yards on each of 3 consecutive plays. What signed number represents the team's total loss of yards on the 3 plays?

a)

5 (-3) = 15

b)

(5) 3 = 15

c)

-5 (-3) = -15

d)

-5 (3) = -15

3.

The selling price of a house dropped from $250,000 to $210,000 over a period of 5 years. By what percentage did the selling price decrease?

a)

16%

b)

19%

c)

40%

d)

13%

4.

What is the product? -8(7 - 3.2)

a)

-59.2

b)

52.8

c)

-4.2

d)

-30.4

5.

An inequality is shown: 2x - 2 < 4.


What values of x make the inequality true?

a)

x > 3

b)

x < 1

c)

x < 3

d)

x > 1

6.

Which expression is equivalent to

-7(y - 2)

a)

-7y - 2

b)

-7y - 14

c)

-7y + 2

d)

-7y + 14

7.

A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards.

This equation represents the situation:

6(x + 18) = 192

What does the variable x represent in Jarred's equation?

a)

the number of screws in one kit

b)

the number of boards in one kit

c)

the number of screws in all 6 kits

d)

the number of boards in all 6 kits

8.

Julie works Sunday, Monday, and Wednesday for 10 hours each day. On Tuesday, Thursday, and Friday, she works 7 hours each day. She does not work on Saturday. Her weekly total earnings are $612.

What is Julie's hourly rate of pay in dollars?

a)

$11

b)

$15

c)

$10

d)

$12

9.

The sum of a number, n, and 8 is multiplied by -4 and the result is -12. What is the number?

a)

n = -5

b)

n = 5

c)

n = 1

d)

n = 11

10.

Consider the graph. What does point A represent on this graph?

a)

4 web visits per 12 downloads

b)

4 downloads per 12 web visits

c)

The rate of change

d)

The slope of the line

11.

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters.

How wide is the model?

a)

6 meters

b)

54 meters

c)

6 centimeters

d)

54 centimeters

12.

Michelle makes bracelets at a rate that is proportional to the number of hours she has worked.

Which table could represent how many total bracelets, y, Michelle can make after working x hours?

Remember: Proportional relationships must go through the origin,0,0.

a)
b)
c)
d)
13.

The points on the coordinate grid represent the costs for the different numbers of peaches.

Select all statements that are true about the graph.

a)

There is a proportional relationship between the number of peaches and the cost because a line can be drawn passing through the origin and connecting all the points shown.

b)

There is a proportional relationship between the number of peaches and the cost because the x-value is always greater than the y-value.

c)

The point (1, 0.75) can be used to represent the unit rate of 0.75 dollars per peach.

d)

The point (1, 0.75) can be used to determine the total cost by subtracting 0.25 from the number of peaches.

e)

The point (4,3) represents the cost of $4 for 3 peaches.

14.
The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)
a)
28/16
b)
7/4
c)
16/28
d)
12/16
15.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
16.
Solve the proportion below:
a)
418
b)
2
c)
38
d)
11
17.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
18.
13 - 5⅚ =
a)
8⅙
b)
8⅚
c)
7⅚
d)
7⅙
19.
a)
3/11
b)
4/11
c)
5/55
d)
2/11
20.
1/3  x  5/6  =
a)
5/18
b)
6/9
c)
4/3
d)
2/3
21.
⅚ ÷ 4
a)
5/24
b)
24
c)
1/6
d)
5
22.
Solve the following equation:
9.331 - (-4.71) = ?
a)
14.041
b)
4.621
c)
13.402
d)
4.602
23.
Solve the following equation:
-13.4 - (-1.784) = ?
a)
11.616
b)
15.184
c)
-11.616
d)
-15.184
24.
Change this improper fraction into a mixed number:
47/5
(Use your multiplication chart)
a)
9 ⅖
b)
8  7/5
c)
9 ⅕
d)
8 ⅚
25.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
26.
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
27.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

28.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
29.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
30.
What is 82% As a decimal?
a)
8200
b)
820
c)
0.082
d)
0.82
31.
Which expression represents the distance between P and Q on the number line?
a)
|-2+2|
b)
|2- -2|
c)
2+ -2
d)
|2| - |-2|
32.

The angle measures of a triangle are shown in the diagram. What is the value of x ?

a)

25

b)

20

c)

10

d)

28

33.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
34.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
35.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
36.
Which graph is proportional?
a)
A
b)
B
c)
None of the graphs
d)
All of the graphs are proportional
37.
What is a example of Additive Inverse?
a)
-1+1=0
b)
-1+1=-2
38.
What is the opposite of 7?
a)
-7
b)
0
c)
-0
d)
7
39.

The integer -17 would BEST represent which of these events?


I. You withdraw $17 from your account.


II. A running back loses 17 yards in a game.


III. The temperature rises 17 degrees.

a)

I only

b)

III only

c)

I and II only

d)

II and III only

40.

When subtracting two integers...

a)

Add them together

b)

Ignore the signs and subtract

c)

Change the operation into addition and the second number's sign

d)

It will always be negative

41.

Factor

21p + 7

a)

7(3p + 1)

b)

7(3p + 7)

c)

can't be factored

d)

3(7p + 7)

42.

Factor

12r + 30

a)

12(r + 18)

b)

can't be factored

c)

6(2r + 5)

d)

5(7r + 13)

43.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
44.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
45.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
46.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
47.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
48.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
49.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
50.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
51.
To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.
a)
Mean
b)
Median
c)
Mode
d)
Range
52.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
53.
A data set can have more than one mode
a)
True
b)
False
54.
Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  The Mean is 8
a)
3
b)
5
c)
1
d)
2
55.

What is the the probability of NOT landing on purple?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

56.

A bag has 10 marbles. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

57.
What is the area of this circle?
d = 8cm
a)
16π
b)
8π
c)
4π
d)
36π
58.

What is the volume of this rectangular prism?

a)

30 cu ft

b)

36 cu ft

c)

12 cu ft

d)

11 cu ft

59.
What does the "B" in the volume formula V = B x h stand for?
a)

bottom of the object

b)

base

c)

between

d)

area of the base

60.

Find the volume of this triangular prism.

a)

1440 cm3

b)

60 cm3

c)

720 cm3

d)

180 cm3

61.
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
62.
What is the median?
a)
62
b)
58
c)
66
d)
60
63.
How many students received a score of 94%? 
a)
94
b)
4
c)
1
d)
2
64.
How many total students are in the science class?
a)
13
b)
6
c)
27
d)
25
65.
What is the best way to describe the angle pair relationships?
a)
Vertical Angles
b)
Linear Pairs
c)
Complementary Angles
d)
Supplementary Angles
66.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
67.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
68.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
69.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
70.
What is the circumference of this circle?
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm

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