wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Math 8 Unit 5 Mid Unit

Total questions: 224

Worksheet time: 56hrs 0mins

Name
Class
Date
1.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
2.
Slope is another word for:
a)
Initial Value
b)
Rate of Change
c)
Change in Y's
d)
Y-intercept
3.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
4.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
5.

Which statement below is TRUE regarding the functions pictured?

a)

Both functions have a y-intercept of 3

b)

Both functions are increasing

c)

Both functions are linear

d)

Both functions have a MULTIPLYING pattern

6.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
7.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
8.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
9.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
10.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
11.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
12.
Compare the rates of change. Which statement is true about functions A and B?
a)
They have the same rate of change
b)
A has a greater rate of change than B
c)
A and B both have negative rates of change
d)
A has a negative ROC and B has a positive ROC
13.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
14.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
15.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
16.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
17.
Who has the greater rate of change?
a)
Smith has the greater rate of change with 5/4
b)
Harmon has the greater rate of change with 7/2
c)
Smith has the greater rate of change with 4/5
d)
They have the same rate of change.
18.
Who has the greater rate of change?
a)
Smith has the greater rate of change.
b)
Harmon has the greater rate of change.
c)
Macey has the greater rate of change.
d)
They have the same rate of change
19.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
20.
find the rate of change
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
21.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
22.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
23.
Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 
a)
Equation A
b)
Equation B
c)
They have the same slope
24.
Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y intercept? 
a)
Equation A
b)
Equation B
c)
They have the same Y intercept
25.
From the table, is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
26.
The table represents a function. Is it linear or non-linear?
a)
Linear
b)
Nonlinear
27.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
28.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
29.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
30.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
31.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
32.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
33.

Tree A is 5 feet tall and grows at a rate of 1.5 feet per year. The table shows the height h (in feet) of Tree B after x years.

Does the table represent a linear or nonlinear function?

a)

nonlinear; when graphing the points, they do not lie on a line

b)

linear; it is in a table

c)

nonlinear; it is in a table

d)

linear; when graphing points, they lie on a line

34.

Tree A is 5 feet tall and grows at a rate of 1.5 feet per year. The table shows the height h (in feet) of Tree B after x years.

Which tree is taller after 10 years?

a)

The same

b)

The same but in green

c)

Tree B; after ten years, Tree A=20 ft and Tree B=23 ft

d)

Tree A; after ten years, Tree A=24 ft and Tree B=20 ft

35.
What happened during C to D point?
a)
not moving
b)
increasing speed at a constant rate
c)
moving at a constant speed
d)
moving at 0 m/sacceleration
36.
What does this graph represent?
a)
Constant speed
b)
Acceleration
c)
Not moving
37.
What happened during O to A point?
a)
not moving
b)
constant speed
c)
accelerating
d)
decelerating
38.
Which of the graphs shows that one of runners started 10 yards further ahead of the other? 
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
39.
Evaluate:
−18+(−10)
a)
−28
b)
−8
c)
28
d)
8
40.
Evaluate:
42+(−35)
a)
7
b)
−7
c)
77
d)
−77
41.
Evaluate:
−27+(−19)
a)
−46
b)
−8
c)
46
d)
8
42.
Evaluate:
−19+14
a)
−5
b)
5
c)
−33
d)
33
43.
Evaluate:
56+(−64)
a)
−8
b)
8
c)
−120
d)
120
44.
Evaluate:
18−(−7)
a)
25
b)
11
c)
−25
d)
−11
45.
Evaluate:
−17−10
a)
−27
b)
−7
c)
27
d)
7
46.
Evaluate:
−28−(−36)
a)
8
b)
−8
c)
64
d)
−64
47.
Evaluate:
46−50
a)
−4
b)
4
c)
96
d)
−96
48.
Evaluate:
−28−(−36)
a)
8
b)
−8
c)
64
d)
−64
49.
Evaluate:
−17−(−15)
a)
−2
b)
2
c)
32
d)
−32
50.
Evaluate:
−5(11)
a)
−55
b)
55
c)
6
d)
−50
51.
Evaluate:
−7⋅(−8)
a)
56
b)
54
c)
−56
d)
−54
52.
Evaluate:
9⋅(−6)
a)
−54
b)
54
c)
−52
d)
52
53.
Evaluate:
−12(−11)
a)
132
b)
−132
c)
121
d)
−23
54.
Evaluate:
(−5)2
a)
25
b)
−25
c)
10
d)
−10
55.
Evaluate:
−27÷(−9)
a)
3
b)
−3
c)
−36
d)
−18
56.
Evaluate:
42÷(−6)
a)
−7
b)
7
c)
36
d)
−48
57.
Evaluate:
−72 ∕ 8
a)
−9
b)
9
c)
−7
d)
7
58.
Evaluate:
−144 ∕ (−12)
a)
12
b)
−12
c)
11
d)
−11
59.
Evaluate:
−30÷2
a)
−15
b)
15
c)
10
d)
−10
60.
Evaluate:
10+(−15)÷3
a)
5
b)
−1.6
c)
15
d)
−5
61.
Evaluate:
−4+(−3)⋅4
a)
−16
b)
8
c)
−28
d)
28
62.
Evaluate:
−5(7−10)
a)
15
b)
−15
c)
−45
d)
−25
63.
Evaluate:
(−6)2 + (−6)
a)
30
b)
−42
c)
−18
d)
−6
64.
Evaluate:
−2(−5+9)
a)
−8
b)
28
c)
−28
d)
19
65.
Simplify    5(2 - 7n) =
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
66.
Simplify   6(x + -2) =
a)
6x + 12
b)
6x - 12
c)
6x + 2
d)
6x - 2
67.
Simplify the expression:
6 + 2(7x - 3) 
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
68.
Simplify:
5x - 6x - 8x + 7 
a)
-9x + 7
b)
-9x -  7
c)
9x + 7 
d)
9x - 7
69.
Simplify the expression: 7+3(1 - 2x) 
a)
-20x - 10
b)
-20x + 10
c)
6x + 10
d)
-6x + 10
70.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
71.
-4(-4d - 5) 
a)
16d+20
b)
-16d+20
c)
16d-20
d)
-16d-20
72.
3(2x+1)+2(x-4)
a)
8x-11
b)
8x+11
c)
8x+5
d)
8x-5
73.
4a + 9 + a
a)
5a + 9
b)
3a-9
c)
3a + 9
d)
5a - 9
74.
-(-x + 2) - 4x
a)
-5x - 2
b)
-3x + 2
c)
-5x + 2
d)
-3x  - 2
75.
3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
76.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
77.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
7x - 11
b)
7x + 11
c)
-3x + 11
d)
3x + 11
78.
Simplify the following expression:
-7x - 9x
a)
-2x
b)
2x
c)
-16x
d)
16x
79.
Simplify the following expression:
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
80.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
81.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
82.
Simplify:
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
83.
Simplify:
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
84.
5 - 3(5x - 4)
a)
15x + 7
b)
-15x + 17
c)
15x - 7
d)
-15x - 17
85.
3x3
a)
12
b)
6
c)
9
d)
13
86.
4x4
a)
16
b)
8
c)
12
d)
24
87.
6x6
a)
12
b)
24
c)
36
d)
30
88.
7x7
a)
27
b)
28
c)
14
d)
49
89.
8x8
a)
64
b)
16
c)
48
d)
62
90.

11x 6

a)

55

b)

banana

c)

64

d)

66

91.
7 x 6 =
a)
67
b)
15
c)
42
d)
24
92.
2 x 7 =
a)
56
b)
9
c)
19
d)
14
93.
11 x 8 =
a)
88
b)
67
c)
80
d)
46
94.
4 x 7 =
a)
67
b)
53
c)
28
d)
32
95.
6 x 5 =
a)
12
b)
30
c)
78
d)
32
96.
3 x 4 =
a)
12
b)
46
c)
7
d)
1
97.
6 x 3 =
a)
18
b)
16
c)
9
d)
42
98.
9 x 6 =
a)
15
b)
3
c)
54
d)
52
99.
2 x 5
a)
7
b)
10
c)
3
d)
2
100.
Atticus' 4 friends decided to bring food. If each of them brought 4 slices of pizza, how many slices of pizza do they have in total? 
a)
8
b)
4
c)
0
d)
16
101.
Hayden made some juice from fresh oranges. If he used 2 oranges per glass of juice and he made 6 glasses of juice, how many oranges did he use?
a)
8
b)
12
c)
6
d)
10
102.
7 x 6
a)
49
b)
42
103.
7 x 9
a)
63
b)
54
104.
6 x 2 =
a)
12
b)
24
c)
30
d)
62
105.

1×1=1\times1=  

a)

1

b)

2

c)

3

d)

4

106.

2×1=2\times1=  

a)

1

b)

2

c)

3

d)

4

107.

3×1=3\times1=  

a)

1

b)

2

c)

3

d)

4

108.

4×1=4\times1=  

a)

2

b)

3

c)

4

d)

5

109.

5×1=5\times1=  

a)

6

b)

5

c)

4

d)

3

110.

6×1=6\times1=  

a)

6

b)

7

c)

8

d)

9

111.

7×1=7\times1=  

a)

10

b)

9

c)

8

d)

7

112.

8×1=8\times1=  

a)

11

b)

10

c)

9

d)

8

113.

9×1=9\times1=  

a)

9

b)

10

c)

11

d)

12

114.

10×1=10\times1=  

a)

12

b)

10

c)

11

d)

13

115.

11×1=11\times1=  

a)

10

b)

11

c)

12

d)

13

116.

12×1=12\times1=  

a)

10

b)

11

c)

12

d)

13

117.
2 x 0
a)
0
b)
6
c)
3
d)
2
118.
2 x 3
a)
66
b)
5
c)
6
d)
17
119.
2 x 6
a)
9
b)
12
c)
3
d)
14
120.
2 x 7
a)
14
b)
41
c)
5
d)
19
121.
2 x 11
a)
11
b)
2
c)
22
d)
34
122.
2 x 12
a)
244
b)
2
c)
24
d)
4
123.
2 x 9
a)
11
b)
4
c)
18
d)
6
124.
5 x 2
a)
15
b)
99
c)
0
d)
10
125.
3 x 2
a)
5
b)
66
c)
3
d)
6
126.
3 x 5
a)
8
b)
99
c)
15
d)
100
127.
3 x 7
a)
16
b)
10
c)
21
d)
4
128.
3 x 7
a)
16
b)
10
c)
21
d)
4
129.
3 x 8
a)
244
b)
42
c)
3
d)
24
130.
3 x 11
a)
33
b)
3
c)
11
d)
13
131.
3 x 10
a)
331
b)
30
c)
10
d)
13
132.
3 x 12
a)
36
b)
96
c)
21
d)
33
133.
4 x 2
a)
8
b)
9
c)
12
d)
17
134.
4 x 3
a)
12
b)
8
c)
7
d)
4
135.
4 x 5
a)
8
b)
22
c)
1
d)
20
136.
4 x 7
a)
33
b)
24
c)
28
d)
11
137.
4 x 8
a)
8
b)
4
c)
32
d)
23
138.
4 x 12
a)
38
b)
26
c)
48
d)
23
139.
0 x 4
a)
0
b)
1
c)
4
d)
44
140.
5 x 3
a)
12
b)
15
c)
20
d)
10
141.
11 x 5
a)
16
b)
9
c)
55
d)
6
142.
5 x 5
a)
25
b)
35
c)
30
d)
20
143.
5 x 7
a)
28
b)
35
c)
30
d)
13
144.
5 x 9
a)
41
b)
54
c)
14
d)
45
145.
5 x 12
a)
60
b)
62
c)
48
d)
36
146.
6 x 4
a)
9
b)
10
c)
24
d)
37
147.
6 x 3
a)
18
b)
9
c)
72
d)
12
148.
6 x 5
a)
98
b)
11
c)
30
d)
8
149.
6 x 7
a)
87
b)
42
c)
13
d)
56
150.
6 x 8
a)
65
b)
48
c)
90
d)
10
151.
6 x 9
a)
40
b)
54
c)
15
d)
8
152.
6 x 10
a)
29
b)
56
c)
88
d)
60
153.
6 x 11
a)
17
b)
66
c)
98
d)
76
154.
6 x 12
a)
72
b)
78
c)
66
d)
34
155.
7 x 2
a)
72
b)
14
c)
9
d)
6
156.
7 x 4
a)
11
b)
28
c)
32
d)
18
157.
7 x 5
a)
6
b)
8
c)
19
d)
35
158.
7 x 6
a)
49
b)
56
c)
42
d)
35
159.
7 x 7
a)
8
b)
14
c)
0
d)
49
160.
7 x 8
a)
15
b)
56
c)
1
d)
89
161.
7 x 9
a)
9
b)
63
c)
16
d)
98
162.
7 x 10
a)
17
b)
8
c)
70
d)
3
163.
7 x 11
a)
90
b)
84
c)
70
d)
77
164.
7 x 12
a)
84
b)
70
c)
0
d)
7
165.
8 x 3
a)
24
b)
18
c)
64
d)
80
166.
8 x 5
a)
32
b)
45
c)
50
d)
40
167.
8 x 8
a)
7
b)
16
c)
87
d)
64
168.
8 x 9
a)
0
b)
17
c)
72
d)
80
169.
8 x 12
a)
54
b)
96
c)
90
d)
88
170.
9 x 2
a)
64
b)
47
c)
18
d)
90
171.
9 x 3
a)
76
b)
34
c)
8
d)
27
172.
9 x 4
a)
36
b)
78
c)
21
d)
27
173.
9 x 6
a)
19
b)
18
c)
54
d)
72
174.
9 x 9
a)
18
b)
81
c)
74
d)
109
175.
9 x 11
a)
20
b)
45
c)
0
d)
99
176.
9 x 12
a)
108
b)
9
c)
21
d)
76
177.
12 x 3
a)
0
b)
20
c)
34
d)
36
178.
12 x 11
a)
12
b)
24
c)
98
d)
132
179.
12 x 12
a)
144
b)
86
c)
90
d)
60
180.

24÷4=24\div4=  

(a)  

181.

20÷5=20\div5=  



(a)  

182.

27÷9=27\div9=  



(a)  

183.

16÷2=16\div2=  



(a)  

184.

8÷8=8\div8=  



(a)  

185.

60÷6=60\div6=  



(a)  

186.

18÷3=18\div3=  



(a)  

187.

54÷6=54\div6=  



(a)  

188.

54÷6=54\div6=  



(a)  

189.

4÷1=4\div1=  



(a)  

190.

36÷12=36\div12=  



(a)  

191.

48÷8=48\div8=  



(a)  

192.

16÷8=16\div8=  



(a)  

193.

27÷3=27\div3=  



(a)  

194.

24÷3=24\div3=  



(a)  

195.

18÷9=18\div9=  



(a)  

196.

108÷12=108\div12=  



(a)  

197.

81÷9=81\div9=  



(a)  

198.

7÷7=7\div7=  



(a)  

199.

110÷10=110\div10=  



(a)  

200.

25÷5=25\div5=  



(a)  

201.

23×16\frac{2}{3}\times\frac{1}{6}  

a)

12\frac{1}{2}  

b)

29\frac{2}{9}  

c)

13\frac{1}{3}  

d)

19\frac{1}{9}  

202.

14×14\frac{1}{4}\times\frac{1}{4}  

a)

12\frac{1}{2}  

b)

18\frac{1}{8}  

c)

14\frac{1}{4}  

d)

116\frac{1}{16}  

203.

Multiply 18 by  12\frac{1}{2}  .

a)

3

b)

6

c)

9

d)

36

204.

What number is equal to the reciprocal of  82?\frac{8}{2}?  

a)

14\frac{1}{4}  

b)

12\frac{1}{2}  

c)

22  

d)

44  

205.

Divide 16 by 12.Divide\ \frac{1}{6}\ by\ \frac{1}{2}.  

a)

112\frac{1}{12}  

b)

13\frac{1}{3}  

c)

33  

d)

1212  

206.
What is the recriprocal of 5
a)
5/1
b)
1/5
207.

24×12\frac{2}{4}\times\frac{1}{2}  

a)

36\frac{3}{6}  

b)

38\frac{3}{8}  

c)

14\frac{1}{4}  

d)

13\frac{1}{3}  

208.

Find 13÷56Find\ \frac{1}{3}\div\frac{5}{6}  

a)

25\frac{2}{5}  

b)

15\frac{1}{5}  

c)

518\frac{5}{18}  

d)

156\frac{15}{6}  

209.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
210.

Multiply:


3/4 x 1/2 =

a)

3/8

b)

4/6

c)

1/3

d)

4/8

211.

Multiplication: 4/5 x 2/4 =

a)

6/9

b)

8/15

c)

8/20

d)

8/25

212.

2/3 x 1/3 =

a)

2/6

b)

3/6

c)

2/9

d)

3/9

213.

6/9 x 2/3

a)

12/27

b)

12/18

c)

12/12

d)

8/24

214.

3/8 x 3/5

a)

6/13

b)

6/40

c)

9/40

d)

9/35

215.

5 x2/3

a)

2/15

b)

10/4

c)

10/3

d)

10/15

216.
What is the reciprocal of 2/3?
a)
2
b)
2/3
c)
3
d)
3/2
217.
What is the reciprocal of 2/3?
a)
2
b)
2/3
c)
3
d)
3/2
218.

3/4 ÷ 1/7

a)

3/28

b)

5 1/4

c)

25/28

d)

4/21

219.

3/10 ÷ 1/3

a)

19/30

b)

1 1/9

c)

1/10

d)

9/10

220.

7 1/2 ÷ 2

a)

9 1/2

b)

3 3/4

c)

15

d)

4/15

221.
What is the reciprocal of this fraction?
9/27
a)
27/9
b)
3/9
c)
1/3
d)
3/1
222.
What is the reciprocal of this fraction?
20/3
a)
3/10
b)
10/3
c)
6 2/3
d)
3/20
223.
Simplify this fraction: 5/25
a)
1/25
b)
1/5
c)
25/5
d)
5/1
224.
1/2 ÷ 3/4
a)
5/6
b)
2/3
c)
3/8
d)
1/3