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Worksheets

Math 8 Exam review Sme 1 2023

Total questions: 171

Worksheet time: 9hrs 8mins

Name
Class
Date
1.
6x-7=12
a)
5/6
b)
19/6
c)
2
d)
6/19
2.
a)
25
b)
11
c)
35
d)
1
3.
-3(2c-5)=15
a)
-5
b)
5
c)
0
d)
6
4.
12-4x-x=2
a)
2
b)
-2
c)
5
d)
-5
5.
4y-7=2y+7
a)
7
b)
14/6
c)
2
d)
0
6.
x=2x-4
a)
-4
b)
4
c)
-4/3
d)
3/4
7.
2x+4+5x=13+4x
a)
-3
b)
9
c)
3
d)
1
8.
a)
4
b)
3
c)
-4
d)
-3
9.
3x-4(2+3x)=82
a)
no solution
b)
-10
c)
6
d)
18
10.
a)
3
b)
-3
c)
4
d)
-4
11.
a)
22/5
b)
5/22
c)
22/15
d)
11/4
12.

2x-(3+4x)=11

a)

-4

b)

7/3

c)

-7

d)

-17/8

13.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
14.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
15.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
16.
−2|−2r − 4| = -12
a)
{3,1}
b)
{-3,-1}
c)
{-3}
d)
No Solution
17.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
18.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
19.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
20.

Solve for p. 9|9 - 2p| = 81

a)

p = 0, p = -9

b)

p = -63/2, p = 99/2

c)

p = 0, p = 9

d)

No Solution

21.

Solve.


8 - 9|10r - 9| = -73

a)

r = 9/5, r = 0

b)

r = 0, r = 5

c)

r = 9/5, r = 1

d)

r = -63/10, r= 0

22.

Solve for k. |6 - 2k| = 18

a)

k = -6, k = 6

b)

k = -6, k = 12

c)

k = -6, k = -12

d)

k = -6, k = 5

23.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
24.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
25.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
26.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
27.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
28.

How many solutions does the following equation have?

0 = -6|9v - 7|

a)

no solution

b)

one solution

c)

two solutions

29.

solve for z.

|-4z|=7

a)

-7/4, 7/4

b)

-7/4

c)

11, 3

d)

-11, -3

30.

Solve the following equation:


∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

31.

Solve the following equation:


|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

32.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
33.
Which compound inequality represents the graph?
a)
m < -1 OR m > 2
b)
-1 < m < 2
c)
m > -1 OR m < 2
34.
Ms. Steadman wanted to buy a Panthers jersey. It cost $72.  She said she would save $9 each week. How many weeks will it take for her to save up enough money to buy the jersey?
a)
9
b)
72
c)
8
d)
7
35.

Solve x-2 < -8 or x/8 > 1

a)

x < -6 or x > 8

b)

x > -6 or x < 8

c)

8 < x < -6

d)

-6 < x < 8

36.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
37.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
38.
a)
A
b)
B
c)
C
d)
D
39.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
40.
Solve the inequality.
a)
a > 4
b)
a > 2
c)
a > 6
d)
a < 6
41.
Solve the inequality.
a)
k ≤ –11
b)
k ≤ –5
c)
k ≤ 8
d)
k ≤ –3
42.
Write an inequality for this situation:
We need to make at least $10,000
a)
x < 10000
b)
x > 10000
c)
x ≤ 10000
d)
x ≥ 10000
43.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
44.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
45.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
46.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
47.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
48.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
49.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
50.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
51.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
52.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
53.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
54.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
55.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
56.
#1 Which graph is correct for y = -x + 3?
a)
A
b)
B
57.
#2 Which graph is correct for y = 3x - 4?
a)
A
b)
B
58.
#3 Which graph is correct for y = ⅖x + 2?
a)
A
b)
B
59.
#4 Which graph is correct for y = -¾x + 1?
a)
A
b)
B
60.
#5 Which graph is correct for y = ⅔x - 1?
a)
A
b)
B
61.
#6 Which graph is correct for y = -2x +4?
a)
A
b)
B
62.
#7 Which graph is correct for y = x - 4?
a)
A
b)
B
63.
#8 Which graph is correct for y = -¼x + 3?
a)
A
b)
B
64.
#9 Which graph is correct for y = 4x?
a)
A
b)
B
65.
#10 Example:  Convert x + 2y = 4 to slope intercept form and then graph.
a)
Got it
b)
I'm confused
66.
#11 Example:  Convert 3x - 2y = -6 to slope intercept form and then graph.
a)
Got it
b)
I'm confused
67.
Find the slope of the line. 
a)
-3
b)
1/3
c)
3
d)
-1/3
68.
Find the slope between the points (5,7) and (-3,4).
a)
-3/2
b)
-3/8
c)
3/2
d)
3/8
69.
Find the slope between the points (2,5) and (8,6).
a)
6
b)
4/3
c)
1/6
d)
-1/6
70.
Find the slope of the line. 
a)
-2/3
b)
3/2
c)
2/3
d)
-3/2
71.
What kind of slope would this line have?
a)
positive 
b)
negative 
c)
zero 
d)
undefined 
72.
What is the slope of the line represented by the table?
a)
-3/2
b)
3/2
c)
2/3
d)
-2/3
73.
What does the slope of 3/2 mean for this situation?
a)
For every 3 books sold, there is a $2 profit. 
b)
Your cost per book is $1
c)
For every 2 books sold, there is a $3 profit. 
d)
Your cost per book is $5
74.
What is the slope of this graph?
a)
2
b)
1
c)
1/2
d)
1/5
75.
What does the y-intercept (which is 20) represent in this situation?
a)
The cost per game 
b)
The initial charge of renting games 
c)
The cost of the first game 
76.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
77.
Answer the question in the picture. 
a)
A
b)
B
c)
C
d)
D
78.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
79.
What is the equation of the line that has a slope of 3 and goes through the point (5,4)?
a)
y = 3x - 11
b)
y = 3x + 11
c)
x = 3
d)
y = -3x - 11
80.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
81.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
82.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
83.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

84.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
85.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
86.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
87.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
88.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
89.

What is the slope represented in the table?

a)

slope: 12\frac{1}{2}

b)

slope: 22

c)

slope: 12-\frac{1}{2}

d)

slope: 2-2

90.

What is the Slope represented in this table?

a)

slope: 14-\frac{1}{4}

b)

slope: 4-4

c)

slope: 14\frac{1}{4}

d)

slope: 44

91.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
92.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
93.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
94.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
95.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
96.
What is the y-intercept?
a)
3
b)
2
c)
1
d)
0
97.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
98.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
99.
which equation produces the line on the graph
a)
y = x + 3
b)
y = 3x - 3
c)
y = -x - 3
d)
y = -3x + 3
100.
a)
b=2
b)
m=3
c)
b=-3
d)
m=-2
101.
a)
b=1
b)
b=-1
c)
m=1
d)
b=4
102.
a)
b=2
b)
b=4
c)
m=4
d)
b=1
103.
a)
b=0
b)
b=-1
c)
b=1
d)
b=8
104.
a)
m=3
b)
b=-3
c)
b=2
d)
m=-2
105.
a)
b=2
b)
b=-2
c)
b=0
d)
b=1
106.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
107.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
108.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
109.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
110.
What is the x-intercept of the equation?
y = 3x - 12
a)
x = 3 or (3, 0)
b)
x = 4 or (4, 0)
c)
x = 1 or (1, 0)
d)
x = -12 or (-12, 0)
111.
What is the y-intercept of the equation?
y = 3x - 12
a)
y = 1 or (0, 1)
b)
y = 12 or (0, 12)
c)
y = -1 or (0, -1)
d)
y = -12 or (0, -12)
112.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
113.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
114.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
115.
Give the y-intercept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
116.
What is the y-intercept?
a)
3
b)
2
c)
1
d)
0
117.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
118.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
119.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
120.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
121.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
122.
What is the x-intercept of the equation?
y = 3x - 12
a)
x = 3 or (3, 0)
b)
x = 4 or (4, 0)
c)
x = 1 or (1, 0)
d)
x = -12 or (-12, 0)
123.
What is the y-intercept of the equation?
y = 3x - 12
a)
y = 1 or (0, 1)
b)
y = 12 or (0, 12)
c)
y = -1 or (0, -1)
d)
y = -12 or (0, -12)
124.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
125.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
126.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
127.
Give the y-intercept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
128.
What is the y-intercept?
a)
3
b)
2
c)
1
d)
0
129.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
130.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
131.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
132.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
133.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
134.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
135.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
136.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
137.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
138.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
139.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
140.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
141.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
142.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
143.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
144.
What is the slope in this picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
145.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
146.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
147.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
148.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
149.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
150.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

y=2x 3y=2x\ -3

b)

y=2x5y=2x-5

c)

y=2x + 1y=2x\ +\ 1

d)

y=12x+52y=-\frac{1}{2}x+\frac{5}{2}

151.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

y=12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=2x+7y=-2x+7

d)

y=2x+8y=-2x+8

152.

Write the equation of a line PERPENDICULAR to y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

y=13x9y=\frac{1}{3}x-9

b)

y=13x+10y=\frac{1}{3}x+10

c)

y=3x+6y=-3x+6

d)

y=3x8y=-3x-8

153.

Write the equation of a line PARALLEL to 3x - y = 2 that passes through the point (1, 5).

a)

y = 3x - 14

b)

y = 3x + 2

c)

y=13x+6y=\frac{1}{3}x+6

d)

y=13x4y=\frac{1}{3}x-4

154.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
155.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
156.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

157.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

158.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

159.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

160.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

161.

Given f(x) = 4x - 10 and f(x) = 10. Find x

a)

x = 14

b)

x = -6

c)

x = -50

d)

x = 30

162.

If f(x) = 2x + 1, find f(6).

a)

f(6) = 27

b)

f(6) = 9

c)

f(6) = 13

d)

f(6) = 3

163.

g(m) = -2m + 7; find g(-4)

a)

-1

b)

-14

c)

15

d)

7

164.
What is the range of the graph?
Remember: Range is y! 
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
165.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

166.

What is the RANGE of this graph?

a)

y < -3

b)

y ≤ -3

c)

y > 1

d)

y ≥ 1

167.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
168.
State the domain of the given relation:
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
169.
State the range of the given relation.
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
170.
State the domain of the graphed function.
a)
-1 ≤ 𝒙 ≤ 3
b)
-2 ≤ 𝒚 ≤ 4
c)
-2 ≤ 𝒙 ≤ 4
d)
-1 ≤ 𝒚 ≤ 3
171.
State the range of the graphed function.
a)
-2 ≤ 𝒙 ≤ 4
b)
-1 ≤ 𝒚 ≤ 3
c)
-1 ≤ 𝒙 ≤ 3
d)
-2 ≤ 𝒚 ≤ 4