wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Equations and Inequalities

Total questions: 12

Worksheet time: 28mins

Name
Class
Date
1.

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

a)

3h − 2 ≤ 14

b)

3h + 2 ≤ 14

c)

3h − 2 ≥ 14

d)

3h + 2 ≥ 14

2.

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

a)

Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

b)

Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

c)

Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

d)

Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

3.

The solution to the inequality 5x − 4 > 21 is represented by which number line?

a)
b)
c)
d)
4.

What is the value of x in this equation?

2x + 2 = −52

a)

−25

b)

−27

5.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
6.
What value of 𝑥 makes the sentence true?
𝑥 + 8 = 17
a)
18
b)
9
c)
4
d)
27
7.
What value of y makes the number sentence shown true? 
y - 64 = 110
a)
150
b)
46
c)
164
d)
174
8.
A box contains 48 snickers bars.  The price of the box is $52.25.  Each snickers bars cost the same amount.  Which could be used to finds, the price of one snickers bar?
a)
s + 48 = 52.25
b)
s / 48 = 52.25
c)
𝑠 − 48 = 52.25
d)
48s = 52.25
9.
Which procedure could be used to find the value of m that will make the number sentence true?
m - 13 = 33
a)
Divide both sides of the equation by 13
b)
Multiply both sides of the equation by 13
c)
Add 13 to both sides of the equation
d)
Subtract 13 to both sides of the equation.
10.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
11.

Your school is having a carnival. Admission into the carnival is $5 and each game inside the carnival costs $0.50. Which inequality represent the possible number of game, g, that can be played with $20?

a)

5g + 0.50 205g\ +\ 0.50\ \le\ 20

b)

5g +0.50 205g\ +0.50\ \ge20

c)

0.50g +5 200.50g\ +5\ \le20

d)

0.50g + 5 200.50g\ +\ 5\ \ge20

12.

Select the methods that can be used to find the value of n. 3(n+5) = 12-3\left(n+5\right)\ =\ 12  

a)

Add 5 to each side, then divide by -3

b)

multiply each side by -3, then subtract 5 from both sides.

c)

Subtract -3 from each side, then subtract 5 from both sides

d)

Distribute -3 to both terms inside the parenthesis, then subtract 15 from both sides, then divide by -3.

e)

Divide both side by -3, then subtract 5 from both sides.