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Math 7 Review

Total questions: 105

Worksheet time: 4hrs 34mins

Name
Class
Date
1.
Solve:
-4 + 15 = 
a)
11
b)
-19
c)
-11
d)
9
2.
Solve:
-4 + 15 = 
a)
11
b)
-19
c)
-11
d)
9
3.
Solve:
14 - (-10) =
a)
-4
b)
24
c)
4
d)
-24
4.
The temperature one morning was -6 degrees.  By noon the temperature dropped 7 degrees.  What is the current temperature?
a)
-13
b)
1
c)
13
d)
-42
5.
The temperature one morning was -6 degrees.  By noon the temperature dropped 7 degrees.  What is the current temperature?
a)
-13
b)
1
c)
13
d)
-42
6.
Is the following graph proportional?
a)
Yes
b)
No
7.
Solve:
-3x = 24
a)
8
b)
21
c)
-8
d)
-21
8.
Solve for x:
2x + 7 = 15
a)
7
b)
5
c)
4
d)
3
9.
Simplify:
a)
12x+21
b)
12x-7
c)
12x-21
d)
7x-7
10.
What is the Area of the figure?
a)
19 cm2
b)
78 cm2
c)
38 cm2
d)
67 cm2
11.
What is the formula to find the area of a triangle?
a)
bh/2
b)
bh
c)
πd
d)
πr2
12.
Find the area of the triangle?
a)
160 ft2
b)
26 ft2
c)
80 ft2
d)
502.4 ft2
13.
What part of the circle is given:
a)
radius
b)
Diameter
c)
Circumference
d)
Area
14.
What part of the Circle is given:
a)
circumference
b)
radius
c)
diameter
d)
Area
15.
The circumference of a circle is 21.98 cm.  What is the diameter?  Use 3.14 for π.
a)
7 cm
b)
69.0172 cm
c)
18 cm
d)
3.5 cm
16.
What is the formula to find the circumference of a circle?
a)
πr
b)
πr2
c)
πd
17.
Find the Circumference of the Circle: (3.14 for π)
a)
1,017.36 in
b)
28.26 in
c)
112.82 in
d)
56.52 in
18.
What is the formula for Area of a circle?
a)
πd
b)
π2r
c)
πr2
19.
Find the Area of the circle:
a)
78.5 m2
b)
15.7 m2
c)
31.4 m2
d)
64.5 m2
20.
Find the Area of the circle:
a)
56.52 in2
b)
28.26 in
c)
254.34 in2
d)
178.26 in2
21.
What is the total area of the figure:
a)
54 in2
b)
42 in2
c)
15 in2
22.
What is the inverse operation needed to solve the following problem?
x + 8 = 17
a)
Addition 
b)
Subtraction
c)
Multiplication
d)
Division
23.
What is the inverse operation needed to solve the following problem?
x - 19 = 325
a)
Addition 
b)
Subtraction
c)
Multiplication
d)
Division
24.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
25.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
26.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
27.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
28.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
29.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
30.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
31.
Solve the equation:
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
32.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
33.
On Halloween, the temperature in Orlando, FL was 31 degrees Celsius while the temperature in Boston, MA was -2 degrees Celsius. What is the difference between the two temperatures?
a)
33 degrees Celsius
b)
29 degrees Celsius
c)
-62 degrees Celsius
d)
-29 degrees Celsius
34.
On Monday, the Facebook’s stock was at $28.60 per share. On Tuesday, it gained $2.05, and then lost $7.30 on Wednesday. What is the new price per share?
a)
30.65
b)
26.65
c)
23.35
d)
33.85
35.
A submarine was thirty-five feet below the surface of the water and descended an additional twenty-nine and a half feet. Eventually, the submarine ascended sixty feet toward the surface of the water. What is the location of the submarine in the water?
a)
-4 feet below the surface of the water
b)
-4.5 feet below the surface of the water
c)
-54.5 feet below the surface of the water
d)
-66 feet below the surface of the water
36.

What is the value of x?

a)

16.25

b)

2.6

c)

55.4

d)

0.4

37.
If 2 inches is about 5.08 centimeters, about how many inches is 40 centimeters?
a)
.254 inches
b)
15.75 inches
c)
101.6 inches
d)
406.4 inches
38.
If 8.045 kilometers is about 5 miles, about how many kilometers is 18 miles?
a)
28.96 kilometers
b)
2.23 kilometers
c)
24.22 kilometers
d)
724.05 kilometers
39.
Jo made a scale drawing of our classroom. The scale in the drawing is 2 in. represents 7 ft. The actual length of the classroom is 42 feet. What is the length of the classroom on the scale drawing?
a)
4 in.
b)
8 in.
c)
12 in.
d)
16 in.
40.

Sprinkles bought one bag of chips for $3. How many bags of chips can Hailey buy is she has $15?

a)

3

b)

4

c)

5

d)

6

41.

Which equation shows a proportional relationship between (a) and (b)? Select all that apply.

a)

2a=5b2a=5b

b)

a2=ba-2=b

c)

a=b+2a=b+2

d)

b=25ab=\frac{2}{5}a

42.

Mike spent $24 on diapers. If they cost $4

/ package, how many packages did he

buy?

a)

3

b)

4

c)

5

d)

6

43.

Find the price of one marker if six markers

cost $20.46.

a)

3.21

b)

3.31

c)

3.41

d)

3.51

44.

Evaluate:

 45+(56)+(53)\frac{4}{5}+\left(-\frac{5}{6}\right)+\left(-\frac{5}{3}\right)  

a)

 146-\frac{14}{6}  

b)

 1710-\frac{17}{10}  

c)

 143\frac{14}{3}  

d)

 2110\frac{21}{10}  

45.

A car travels 114.5 miles in 2 1/2 hours.

What is the unit rate?

a)

42.3 miles per hour

b)

44.2 miles per hour

c)

45.8 miles per hour

d)

47.6 miles per hour

46.

Solve:

 12+x=812+x=-8 

a)

4

b)

-4

c)

20

d)

-20

47.

Solve:

 n6=14n-6=-14  

a)

20

b)

-8

c)

84

d)

-84

48.

Solve:

 9a=135-9a=-135  

a)

-126

b)

-144

c)

15

d)

-15

49.

Solve:

 17x=13617x=-136  

a)

-153

b)

-119

c)

-8

d)

8

50.

Solve:

 4p=144-p=-14 

a)

-18

b)

18

c)

-10

d)

10

51.

Solve:

 7b+9=2-7b+9=2  

a)

 117-\frac{11}{7}  

b)

-1

c)

1

d)

0

52.
-8(7+4n)
a)
-70n+90
b)
-56-32n
c)
-4-20n
d)
-14-20n
53.
-5(-2+8n)
a)
-40n
b)
-40n-6
c)
-40n+1
d)
10-40n
54.
1-4r+r-7
a)
-6-3r
b)
-6
c)
-15r-13
d)
-13r-13
55.
6+6n+10n
a)
6+16n
b)
6+25n
c)
15n
d)
-11n
56.
8a-6+1+8a
a)
-18a+4
b)
17a+4
c)
-9a+4
d)
16a-5
57.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
58.
7y + 8 – 3y – 1 + y
a)
11y + 9
b)
4y + 7
c)
5y + 9
d)
5y + 7
59.
-2(x + 5)
a)
-2x + 10
b)
-2x - 10
c)
-2x + 5
d)
-2x - 5
60.
9(10 – 8x) + 4x
a)
90 – 68x
b)
90 – 4x
c)
19 – 4x
d)
–13x + 19
61.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
7x + 17
b)
-7x+ 13
c)
-13x + 17
d)
-13x + 13
62.
4m – 12m
a)
–48m
b)
6m
c)
–8m
d)
8m
63.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
64.
Distribute then Combine Like Terms:
3v + 4(v – 1)
a)
7v – 1
b)
7v + 3
c)
4v – 4
d)
7v – 4
65.
Distribute then Combine Like Terms
3x + 10(1 – 7x)
a)
13x – 7
b)
–67x + 10
c)
–4x + 10
d)
–73x + 10
66.
Which of the following is equivalent to 9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
67.

Find the sum: -4, 8, -6, 4

a)

2

b)

-4

c)

6

d)

3

68.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
69.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
70.
Is this table proportional?
a)
Yes
b)
No
71.
Is this graph proportional?
a)
Yes
b)
No
72.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
73.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
74.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
75.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
76.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
77.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
78.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
79.
What is the total cost of tickets if there are 7 adults?
a)
$600
b)
$75
c)
$500
d)
$525
80.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
81.

What is the Unit Rate?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

82.

What is the Constant of Proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

83.
Is this table proportional?
a)
Yes
b)
No
84.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

85.

Is the graph proportional or non proportional?

a)

Yes

b)

No

86.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

87.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
88.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
89.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
90.
What type of slope does the graph have?
a)
positive
b)
negative
c)
zero
d)
undefined
91.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
92.

Identify the slope from the equation y = -8x

a)

m = -8

b)

m = 8

c)

m = x

d)

m = -8x

93.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
94.
A line with a positive slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A line that goes uphill from left to right
d)
A line that goes downhill from left to right
95.

What is the meaning of the slope on the graph?

a)

The sloth moves a total of 1.5 minutes.

b)

The sloth moves 3 feet every minute.

c)

The sloth moves a total of 9 feet.

d)

The sloth moves 6 feet every minute.

96.

What is the meaning of the slope on the graph?

a)

The water is draining for 7 hours in total.

b)

The water drains at a rate of 1 gallon per hour.

c)

The water drains at a rate of 25 gallons per hour.

d)

There are 175 gallons of water before it starts to drain.

97.
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
a)
4.25
336
336
b)
4.2
c)
5.2
d)
5.25
98.
-3+8
a)
5
b)
-5
c)
11
d)
-11
99.
Find the Absolute Value of 220
a)
-220
b)
110
c)
-110
d)
220
100.
I -3 I
a)
3
b)
-3
c)
6
d)
-6
101.
Which integer represents this situation?  You hike 100 feet down a mountain.
a)
100
b)
-100
c)
10
d)
-10
102.
Which rational number is greater than 0.19 and less than 23%?
a)
0.23
b)
1/5
c)
0.4
d)
6/25
103.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
104.
Which equation matches the given graph?
a)
y = 2/5x + 4
b)
y = 2/5x
c)
y = 4x + 20
d)
y = 4x (optional)
105.
 if there are 5 boys for every 7 girls in math class, how many boys are there if there are 35 girls?
a)
20
b)
25
c)
30
d)
35