WorksheetsEquations & Inequalities
Total questions: 83
Worksheet time: 3hrs 32mins
Name
Class
Date
1.
more than
a)
<
b)
>
c)
≤
d)
≥
2.
Less Than
a)
<
b)
>
c)
≤
d)
≥
3.
maximum
a)
<
b)
>
c)
≤
d)
≥
4.
minimum
a)
<
b)
>
c)
≤
d)
≥
5.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
6.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
7.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
8.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
9.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
10.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
11.
4h < 8
a)
h < 32
b)
h < 2
c)
h < 4
d)
h > 2
12.
Solve the inequality:
x + 7 < 9
x + 7 < 9
a)
x < 2
b)
x < 16
c)
x < 63
d)
x < - 2
13.
Solve the inequality:
x ÷ 7 > 5
x ÷ 7 > 5
a)
x > 12
b)
x > 2
c)
x > 35
d)
x < -9
14.
Solve the inequality:
8x ≤ 32
8x ≤ 32
a)
x ≤ 4
b)
x ≤ 40
c)
x ≤ 5
15.
Solve the inequality:
x - 10 ≥ 5
x - 10 ≥ 5
a)
x ≥ 2
b)
x ≥ 15
c)
x ≥ 5
16.
Match:
You must be at least 48 inches tall to ride the bumper cars.
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
17.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
18.
Write the inequality:
The Chicago Cubs have won more than 100 games.
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
19.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
20.
Write the inequality:
There are fewer than 20 days left in October.
There are fewer than 20 days left in October.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
21.
Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.
The speed limit on Rollins Road is 35 miles per hour.
a)
x > 35
b)
x < 35
c)
x ≥ 35
d)
x ≤ 35
22.
If you were to graph the inequality would the circle be open or closed?
x ≥ 15
x ≥ 15
a)
open
b)
closed
23.
If you were to graph the inequality would the circle be open or closed?
x > 45
x > 45
a)
open
b)
closed
24.
If you were to graph the inequality would the arrow point to the left or right?
x < 17
x < 17
a)
left
b)
right
25.
If you were to graph the inequality would the arrow point to the left or right?
x ≤ 9
x ≤ 9
a)
left
b)
right
26.
Solve the inequality:
x + 7 < 9
x + 7 < 9
a)
x < 2
b)
x < 16
c)
x < 63
27.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
28.
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
29.
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
30.
You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
a)
X ≤ 169
b)
X < 169
c)
X < 156
d)
X > 156
31.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
32.
You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.
a)
X ≤ 17.6
b)
X ≥ 17.6
c)
X ≥ 35.2
d)
X ≤ 35.2
33.
2x > 12
a)
x > 6
b)
x < 6
c)
x ≥ 6
d)
x ≤ 6
34.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
35.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
36.
Solve and graph.
p - 3 > -8
p - 3 > -8
a)
A
b)
B
c)
C
d)
D
37.
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
38.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
39.
Which graph matches the inequality
n ≤ -2 ?
a)
A
b)
B
c)
C
d)
D
40.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
41.
Which graph matches the inequality
a ≥ ½ ?
a)
A
b)
B
c)
C
d)
D
42.
Which graph matches the inequality
p ≤ 3/2 ?
a)
A
b)
B
c)
C
d)
D
43.
Which graph matches the inequality
x ≥ - 0.2?
a)
A
b)
B
c)
C
d)
D
44.
Which graph matches the inequality
x < -2.8?
x < -2.8?
a)
A
b)
B
c)
C
d)
D
45.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
46.
There are no more than 18 students on the hall.
a)
s>18
b)
s<18
c)
s≤18
d)
s≥18
47.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
48.
x/4≤8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
49.
Select all solutions to 4h<8
a)
4
b)
1
c)
2
d)
-2
e)
8
50.
Select all solutions to m - 5 > 10
a)
15
b)
13
c)
18
d)
20
e)
90
51.
The inverse operation of addition is ______________.
a)
addition
b)
subtraction
c)
multiplication
52.
The inverse operation of subtraction is ___________.
a)
addition
b)
subtraction
c)
multiplication
d)
division
53.
What is the unknown?
x + 1 > 15
a)
a letter
b)
1
c)
variable
54.
The inverse operation of division is___________.
a)
addition
b)
subtraction
c)
multiplication
d)
division
55.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
56.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
57.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
58.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
59.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
60.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
61.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
62.
What is the correct step to solve for the variable?
15 = m - 5
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
63.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
64.
4x = 44
a)
x = 40
b)
x = 11
c)
x = 48
d)
x = 176
65.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
66.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
67.
x ÷ 13 = 8
a)
x = 91
b)
x = 104
c)
x = 21
d)
x = 5
68.
Choose the equation.
a)
-9
b)
3 + 7
c)
4y
d)
4y = 20
69.
Joey
and four of his friends went out to eat. They decided to split the bill evenly.
Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.
a)
d/4=$11.13
b)
4d=$11.13
c)
d/5=$11.13
d)
5d=$11.13
70.
Sally
bought three candy bars for a total of $18.00. How much did each candy bar
cost? Write an equation to solve this problem. Use c as your variable.
a)
18c=6
b)
c + 6= 18
c)
c +18 = 6
d)
3c=18
71.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
72.
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad? (What is the unknown and what would be the equation?)
a)
n=amount of $ he had at 1st; n + $5.12 = $27.10
b)
n=amount of $ he had at 1st; n - $5.12 = $27.10
c)
n=cost of the salad; n - $5.12 = $27.10
d)
n=amount of $ he had at 1st; $5.12 - n = $27.10
73.
One Step Equations with Fractions (Multiplying):
So we multiply the recipricol on both sides. What is the recipricol of this equation?
So we multiply the recipricol on both sides. What is the recipricol of this equation?
a)
3/5
b)
3/4
c)
5/3
d)
4/3
74.
What number fills in the blank?
24 + ____ = 24
24 + ____ = 24
a)
24
b)
2
c)
0
75.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
76.
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
77.
Billy
bought 5 items that each cost the same amount. If he spent a total of $62.00 on
the items, how much did each item cost? Use d as your variable and write an equation to solve this problem.
a)
d/5=62
b)
d-5=62
c)
5d=62
78.
Nicole
and her best friend split the amount of money they earned over the weekend
mowing lawns. If each person got $10.93, what is the total amount of money they
earned? Which equation could you use to solve this problem?
a)
2d=10.93
b)
d/2=10.93
c)
d-2=10.93
d)
d+2=10.93
79.
a)
50
b)
-12.5
c)
-50
d)
12.5
80.
Breanna went to the mall and spent $35.00 on shoes. When she she got home she had $40.00 in her purse. which equation can be used to find the amount of money she started with?
a)
35.00 + x = 40.00
b)
40.00 - 35.00 = x
c)
35.00x = 40.00
d)
40.00x = 35.00
81.
Which number line best represents the solution to the inequality 5w ≥ 30
a)
A
b)
B
c)
C
d)
D
82.
Amira wrote the inequality p + 5 ≤ 18. Which situation is best represented by this inequality?
a)
Amira spent 18 minutes making p phone calls. Each call was at least 5 minutes long.
b)
Amira removed 18 marbles from a bag of p marbles. Afterwards, there were at least 5 marbles in the bag.
c)
Amira placed p pieces of paper in 18 stacks. Each sack had a most 5 pieces of paper.
d)
After Amira added 5 books to a stack of p books, there were no more than 18 books in the stack.
83.
Mrs. Scott decided that she would spend no more than $120 to buy birthday presents for her triplets. Which inequality can be used to determine the maximum Mrs. Scott can spend on each child?
a)
3x > 120
b)
3x ≤ 120
c)
x + 3 ≤ 120
d)
x + 3 > 120
100 %
