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WorksheetsEquations and Inequalities
Total questions: 100
Worksheet time: 8hrs 20mins
Name
Class
Date
1.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
2.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
3.
m - 80 =-20
a)
99
b)
60
c)
33
d)
55
4.
Solve: x/2 = -10
a)
20
b)
-20
c)
5
d)
-5
5.
more than
a)
<
b)
>
c)
≤
d)
≥
6.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
7.
No More Than
a)
<
b)
>
c)
≤
d)
≥
8.
At Least
a)
<
b)
>
c)
≤
d)
≥
9.
At Most
a)
<
b)
>
c)
≤
d)
≥
10.
Not Below
a)
<
b)
>
c)
≤
d)
≥
11.
Below
a)
<
b)
>
c)
≤
d)
≥
12.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
13.
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
14.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
15.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
16.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
17.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
18.
If you were to graph the inequality would the arrow point to the left or right?
x ≤ 9
x ≤ 9
a)
left
b)
right
19.
Which property of real numbers justifies the work shown from Step 1 to Step 2?
a)
Distributive Property
b)
Commutative Property
c)
Identity Property
d)
Associative Property
20.
Which property of real numbers was used to get from Step 3 to Step 4?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Additive Inverse Property
d)
Substitution Property
21.
Which property justifies the work in solving this equation?
a)
Addition Property of Equality
b)
Additive Inverse Property
c)
Identity Property of Addition
d)
Subtraction Property of Equality
22.
Which property was used to get from Step (2) to Step (3)?
a)
Distributive Property
b)
Division Property of Equality
c)
Subtraction Property of Equality
d)
Substitution Property
23.
Which property justifies the work shown?
a)
Multiplication Property of Equality
b)
Subtraction Property of Equality
c)
Division Property of Equality
d)
Multiplicative Inverse Property
24.
solve 5(6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
25.
Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
26.
Solve the following inequality:
-4x + 14 ≤ 54
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 17
27.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
28.
What value of 𝑥 makes the sentence true?
𝑥 + 8 = 17
𝑥 + 8 = 17
a)
18
b)
9
c)
4
d)
27
29.
Solve. 𝑥 + 32.6 = 46
a)
𝑥 = 13.4
b)
𝑥 = 40.4
c)
𝑥 = 8.2
d)
𝑥 = 72.6
30.
What value of y makes the number sentence shown true?
y - 64 = 110
y - 64 = 110
a)
150
b)
46
c)
164
d)
174
31.
What value of t makes the following sentence true?
2t = 20
2t = 20
a)
8
b)
10
c)
40
d)
15
32.
What value of w makes this number sentence true?
12 + w = 32
12 + w = 32
a)
w = 44
b)
w = 43
c)
w = 20
d)
w = 24
33.
What value of m makes this number sentence true?
m – 4 = 45
m – 4 = 45
a)
41
b)
43
c)
46
d)
49
34.
Which is a solution to the inequality
14 + n ≤ 21
14 + n ≤ 21
a)
n ≤ 6
b)
n ≤ 8
c)
n ≤ 5
d)
n ≤ 7
35.
What is the value of x in this equation?
2x + 2 = −52
a)
−25
b)
−27
36.
Solve 2x - 3 = 1
a)
3
b)
2
c)
1
d)
-2
37.
Solve -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
38.
Solve 9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
39.
What is the first step to solve this equation:
-11 - 3x = 44
-11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
40.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
41.
y + 7 ≥ 12
a)
y ≥ 5
b)
y ≤ 5
c)
y ≥ 19
d)
y ≤ 19
42.
y − 10 > 14
a)
y > 24
b)
y < 24
c)
y > 4
d)
y < 4
43.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
44.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
45.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
46.
126 < f + 32
a)
f > 94
b)
f < 96
c)
f < 94
d)
f < 55
47.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
48.
Solve
8x < 48
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
49.
Solve
a)
q≤46
b)
q<46
c)
q≥46
d)
q<46
50.
Solve
a)
y<139
b)
y≥55
c)
y>55
d)
y≤139
51.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
52.
Solve
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
53.
Jazmine joined a music club. The start up fee was $10.00. Each song she downloads is $0.99. If she spent a total of $15.94, how many songs did she download?
a)
$10.00 + $0.99m = $15.94
b)
$10.00m + $0.99 = $15.94
c)
$10.00/$0.99m = $15.94
d)
$10.00 - $0.99m = $15.94
54.
Cadin rents a bouncy house for a birthday party. It costs $30.00 plus $4.00 per hour. If he spends a total of $78.00, how many hours did he keep the bouncy house?
a)
$30.00 - $78.00 = $4.00h
b)
$78.00 + $30.00 = $4.00h
c)
$30.00 + $4.00h = $78.00
d)
$30.00 - $4.00h = $78.00
55.
Emily earns $14 per hour. Which equation represents how many hours she worked to earn $112?
a)
14h = 112
b)
h + 14 = 112
c)
14 / h = 112
d)
h - 14 = 112
56.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
57.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
58.
A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.
a)
c/7 - 4 = 8
b)
c/4 + 7 = 8
c)
4/c - 7 = 8
d)
c/4 - 7 = 8
59.
A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
60.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
61.
The sum of three consecutive integers is 48. What is the first integer?
a)
3n = 48
b)
n + n + n = 48
c)
n + 3n + 1 + 2 + 3= 48
d)
n + (n + 1) + (n + 2) = 48
62.
Each pair of socks costs $2.50. if Ella buys 6 pairs, how much does she pay?
a)
6x = 2.50
b)
2.50 = 6x
c)
6 = 2.50x
d)
2.50(6) = x
63.
Addie saved more than $36. Which inequality represents the amount that she saved?
a)
s > 36
b)
s < 36
c)
s ≤ 36
d)
s ≥ 36
64.
Tucker lost fewer than 9 points. Which inequality represents the situation?
a)
p > 9
b)
p < 9
c)
p ≥ 9
d)
p ≤ 9
65.
My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am?
a)
m - 2 = 18
b)
m + 2 = 18
c)
2m = 18
d)
m/2 = 18
66.
You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?
a)
k ≤ 62
b)
k > 62
c)
k < 62
d)
k ≥ 62
67.
Write an inequality:
Twenty-two more than four times a number is less than 82.
Twenty-two more than four times a number is less than 82.
a)
22 + 4n ≤ 82
b)
22 + 4n > 82
c)
82 + 22n ≥ 4
d)
22 + 4n < 82
68.
If your grade is less than a 60, then you have an F.
a)
x < 60
b)
x > 60
c)
x ≤ 60
d)
X ≥ 60
69.
A number multiplied by 2 is no more than 12
a)
x > 12
b)
x < 12
c)
2x ≤ 12
d)
2x > 12
70.
The quotient of a number and 2 is more than 20.
a)
x ÷ 3 < 20
b)
3x < 30
c)
x ÷ 2 > 20
d)
3x > 30
71.
Which inequality is represented by the words "less than"?
a)
<
b)
>
c)
≤
d)
≥
72.
Which inequality is represented by the words " at least"?
a)
<
b)
>
c)
≤
d)
≥
73.
Which inequality is represented by the words " more than"?
a)
<
b)
>
c)
≤
d)
≥
74.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
≤
d)
≥
75.
Match the graph with its inequality.
a)
g > –2.8
b)
g < –2.8
c)
g ≥ –2.8
d)
g ≤ –2.8
76.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
77.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
78.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x ≤ 12
79.
Match the graph with its inequality.
a)
d > 6
b)
d < 6
c)
d ≥ 6
d)
d ≤ 6
80.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
81.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
82.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
83.
10. x / 2 - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
84.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
85.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
86.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
87.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
88.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
89.
X - 10 > 25
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
90.
x/4≤8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
91.
k/2≥8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
92.
What property is this?
9(b + 0.5) = 9b + 4.5
a)
Distributive
b)
Communitive
c)
Associative
d)
Inverse
93.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
94.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
95.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
96.
What is the coefficient of x?
5x - y
5x - y
a)
8
b)
1
c)
5
d)
-5
97.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
98.
x/5 = 6
a)
x = 5
b)
x = 6
c)
x = 10
d)
x = 30
99.
If x = 2, what is y?
y = 5x + 4
y = 5x + 4
a)
0
b)
4
c)
14
d)
11
100.
Shelby has 4 more than twice as many trophies as Jon. If Jon has x trophies, how many more does Shelby have?
a)
4x
b)
4 + 2
c)
4 + 2x
d)
4 + x
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