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Worksheets

Inequalities and Equations

Total questions: 12

Worksheet time: 32mins

Name
Class
Date
1.

Solve the inequality: 2/x < 15

a)

x < - 30

b)

x = 30

c)

x > 30

d)

x < 30

2.

Write an inequality for the following statement: 'A number decreased by 8 is at most 20.'

a)

x - 8 > 20

b)

x - 8 < 20

c)

x - 8 <= 20

d)

x - 8 = 20

3.

Interpret the solution to the inequality: 4+n ≥ 17

a)

n > -13

b)

n = 13

c)

n ≥ 13

d)

n ≤ 13

4.

Solve the equation: 3y = 15

a)

y = 5

b)

y = 3

c)

y = 7

d)

y = 10

5.

Write an inequality for the following statement: 'A number increased by 10 is less than 30.'

a)

x + 10 < 30

b)

x + 10 = 30

c)

x - 10 < 30

d)

x + 10 > 30

6.

Interpret the solution to the inequality: 6p < -36

a)

p = 6

b)

p < 6

c)

p > -6

d)

p < -6

7.

Solve the inequality: -2a > 12

a)

a < -6

b)

a = -6

c)

a > -6

d)

a > 6

8.

Solve the equation: -4b = -20

a)

b = 2

b)

b = 5

c)

b = 4

d)

b = 10

9.

Danielle had 16 flowers. Her friend, Sabrina, gave her

more flowers. Danielle now has at least 35 flowers.

Write and solve an inequality to find all possible values

of f, the number of flowers Sabrina gave to Danielle.

a)

f > 19

b)

f ≥ 19

c)

f ≥ 16

d)

f ≥ 35

10.

A delivery driver delivers a minimum of 40 packages in a

day. If the driver works 5 days per week, write an

inequality to determine all possible values of x, the

number of packages that she delivered in a week.

a)
x = 40
b)
x > 40
c)
x ≤ 200
d)
x ≥ 200
11.

A teacher bought 99 pencils for his students. After one

week, less than 66 pencils remained. Write an

inequality to determine all possible values of p, the

number of pencils that were used.

a)
99 + p < 66
b)
99 - p > 66
c)
99 / p < 66
d)
99 - p < 66
12.

Liz wants to save at least $200 for a new bike. She

currently has $113 saved. Write an inequality that could

be used to find all possible values of m, the amount of

money Liz still needs to be able to buy the new bike.

a)
m ≥ 87
b)
m ≤ 87
c)
m > 113
d)
m = 200