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Mod 7: Algebraic Inequalities

Total questions: 17

Worksheet time: 28mins

Name
Class
Date
1.

a)
b)
c)
2.

Write an inequality for the graph shown.

Use x for your variable.

a)

x < 5

b)

x < -5

c)

x > -5

d)

x > 5

3.

a)

15 > v

b)

15 < v

c)
d)
4.

a)

-5 < v

b)

-19 < v

c)

-5 > v

d)

-19 > v

5.

a)

v < 7/15

b)

v < -7/15

c)

v > -3/8

d)

v > -13/15

6.

a)
b)

c < 5

c)
d)

c > 5

7.

The vehicle's fuel efficiency is no less than 30 miles per gallon.

Use f to represent the vehicle's fuel efficiency (in miles per gallon).

a)

f > 30

b)
c)

f < 30

d)
8.

a)

7 < u

b)

7 > u

c)
d)
9.

a)
b)
c)

9 < w

d)

9 > w

10.

*Note: when dividing by a negative (-), change the inequality to the opposite.

a)

5 < w

b)

-5 < w

c)

5 > w

d)

-5 > w

11.
a)

9 > x

b)

9 < x

c)
d)
12.

Translate the sentence into an inequality.


A number y increased by 6

is greater than or equal to 26.

a)

6y > 26

b)

6 + y > 26

c)
d)
13.

Kira exercises no less than 40 minutes per day.

Use t to represent Kira's amount of exercise (in minutes per day).

a)

t - 40

b)

t < 40

c)

t + 40

d)
14.

The cargo of the truck weighs less than 2,400 pounds.

Use w to represent the weight (in pounds) of the cargo.

a)
b)
c)

w < 2400

d)

w > 2400

15.

a)

x = 23

b)

x = 15

c)

x = 17

d)

x = 7

16.

a)

y = 3

b)

y = -1/5

c)

y = -5

d)

y = -3

17.

a)

u = -7

b)

u = 4

c)

u = -4

d)

u = 7