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Semester 1 Review 7th Grade Math

Total questions: 64

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

7 + (-28)

a)

-35

b)

21

c)

-21

d)

35

2.
-42/(-6) + 5 - 8
a)
-10
b)
4
c)
-6
d)
6
3.

What number does this represent?

a)

6

b)

-6

c)

2

d)

-2

4.

What number does this represent?

a)

0

b)

2

c)

-1

d)

-2

5.
Which equation represents the 2-color counters shown in the image?
a)
-4 + 5 = -1
b)
4 + (-5) = -1
c)
4 + (-5)= -9
d)
-5 + 4 = -9
6.
What equation is modeled?
a)
7 + -6 = -6
b)
7 + -13 = -6
c)
7 + -14 = -6
d)
-6 + -14 = -6
7.
What equation is modeled?
a)
15 + 25 = -10
b)
15 + -25 = -10
c)
-10 + 15 = -10
d)
-25 + 15 = -10
8.
Which addition expression matches the problem shown on the number line?
a)
3 + -4
b)
-4 + 3
c)
7 + -4
d)
-4 + 7
9.

Simplify:

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

10.
Simplify    5(2 - 7n)
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
11.
2(3x - 1) + 10
a)
6x + 12
b)
6x + 8 
c)
6x + 9
d)
6x - 8 
12.
6(3x + 5) + 2(x - 4) 
a)
11x + 22
b)
20x + 22
c)
20x + 1
d)
18x + 26
13.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

14.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

15.

What expression may be used to model the perimeter of the given polygon?

a)

12x + 2y - 2

b)

12x + 6y + 2

c)

12x + 6y - 6

d)

12x + 6

16.

Write the expression for the perimeter of the given rectangle. Choose the best answer.

a)

6x + 5

b)

12x + 10

c)

8x + 6

d)

16x + 12

17.
p+1=8
p=?
a)
-1
b)
9
c)
7
d)
8
18.
-10v=-30
v=?
a)
-20
b)
-40
c)
3
d)
300
19.
a=?
a)
10
b)
-24
c)
-14
d)
-⅙
20.

  x2\frac{x}{2} - 5 = 3

a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
21.

5x + 4 = -6

a)
2
b)
-2
c)
10
d)
15
22.

Solve for x

(a)  

23.

Solve for x

(a)  

24.

Solve for x

(a)  

25.
  f - 6 ≥ 12
a)
f = 18
b)
f ≥ 18
c)
f ≥ -18
d)
f ≤ 18
26.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
27.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
28.

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

a)

a > 15

b)

a < 15

c)

a ≤ 15

d)

a ≥ 15

e)

a = 15

29.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Let h represent the number of hours a student volunteers.

a)

h < 5

b)

h > 5

c)

h ≥ 5

d)

h ≤ 5

e)

h = 5

30.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
31.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
32.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
33.

Which represents the relationship of oranges to fruit?

a)
2:6
b)
2:4
c)
4:6
d)
4:2
34.
The Williams family bought four concert tickets for $252.  What was the price per ticket?
a)
$60.00
b)
$63.00
c)
$6.30
d)
$62.00
35.
Mrs. Edgar bought an eight pack of bottled water for $4.00.  What was the unit price for the water?
a)
$32.00
b)
$0.50
c)
$3.20
d)
$5.00
36.
Is the graph proportional or non proportional?
a)
Proportional because it is a straight line and passes through the origin (0,0).
b)
Non-Proportional because it doesn't pass through the origin (0,0).
37.
Does the graph show a proportional relationship?
a)
Yes
b)
No
38.
What is the formula for a proportional relationship?
a)
y=kx
b)
y=k/x
c)
z=ykx
d)
y=ky
39.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

40.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

e)

none of these

41.
Solve the proportion:
a)
15
b)
5
c)
10
d)
12
42.
5. What is the scale of a drawing where a 6 m wall is 4 cm long?
a)
1 cm = .66 m
b)
1 cm = 1.5 m
c)
1 cm = 3 m
d)
1 cm = 4 m
43.
6. On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
44.
7. A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
45.
8. To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a)
9 cm
b)
18 cm
c)
90 cm
d)
9 m 
46.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
47.
What direction is an undefined slope?
a)
horizontal
b)
vertical
48.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
49.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
50.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
51.

What is the equation y=px for the table?

a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
52.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
53.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
54.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
55.
What is 82% As a decimal?
a)
8200
b)
820
c)
0.082
d)
0.82
56.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
multiplied
57.
What percent is 40 of 200?
a)
10
b)
30
c)
20
d)
40
58.
What is 0.4 as a percent?
a)
40%
b)
4%
c)
.4%
d)
400%
59.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
60.
The regular price of a sofa is $599.99. 
If there sales tax is 6%
How much will the sofa cost?
a)
$508.79
b)
$479.99
c)
$635.99
d)
$489.59
61.

Identify the slope (AC) of triangle ABC.

a)

2

b)

1/2

c)

-2

d)

-1/2

62.

Select the triangle that could lie on a line with a slope of 3/2.

a)
b)
c)
63.

What is the slope of line B?

a)

2

b)

0.5

c)

3

d)

1

64.

What is the slope that can be made from this slope triangle?

a)

1/3

b)

3

c)

20

d)

1/20

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