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Linear Inequalities Word Problems

Total questions: 17

Worksheet time: 1hrs 18mins

Name
Class
Date
1.
A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?
a)
1.75n + 0.75 ≥ 20
b)
1.75n + 0.75 ≤ 20
c)
0.75n + 1.75 ≥ 20
d)
0.75n + 1.75 ≤ 20
2.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
3.

Which inequality represents the statement below. I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x > 10

c)

x ≤ 10

d)

x < 10

4.
Erin can read at least 80 words per minute. Write an inequality to show this situation. 
a)
x > 80
b)
x < 80
c)
x ≥ 80
d)
x ≤ 80
5.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
6.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
7.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
8.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
9.

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt cost $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x , and T-shirts, y , in an order that qualifies for free shipping.

Move the correct solution each box. Not every answer will be used.

​ (a)   x + ​ (b)   y ​ (c)   ​ (d)  

Choose from the below words
7
10
>
100
17
<
=
10.
a)

y≥38x+by\ge\frac{3}{8}x+b  

b)

y>−38+by>-\frac{3}{8}+b  

c)

y>38x+by>\frac{3}{8}x+b  

d)

y>38x−by>\frac{3}{8}x-b  

11.

When is Coach Ortiz Birthday?

Hint: Click on the picture,

The picture also shows Coach Ortiz and his wife last year on his birthday, and also a picture of my favorite restaurant is shown 👀👀🎁

a)

May 10

b)

Cinco De Mayo

c)

May 15

Quince De Mayo

d)

May 16-2

12.

These are Coach Ortiz favorite shoes that are out right now, they are called Reverse Grinches, What are they called?

a)

Yeezy Foam Runners

b)

Geezys

c)

Maverick City

d)

Hoka's

e)

Reverse Grinches

13.

Coach Ortiz thinks these are pretty fire jeans for Fall Season and to just have in general.

What are they called?

Hint: Coach Ortiz wears a size 36 in jeans and click on the Picture

a)
Coach Ortiz thinks jeans are out of style
b)

Coach Ortiz wears Skinny Jeans

c)

Athletic Strait Jean

d)

HUHHHH JEANS

e)

Non-Athletic Strait Jeans

14.

Jake has $12 to spend at the candy store. Lollipops cost $1 each and chocolate bars cost $2 each. Which inequality represents the possible combinations of lollipops, x , and chocolate bars, y , he can buy at the candy store.

a)

b)

c)

d)

15.

Click on the picture for the question!

Make sure to read the question carefully!!

a)

A

b)

B

c)

C

d)

D

16.

Which of the following represents

−2y +4 < 23(18x−6)-2y\ +4\ <\ \frac{2}{3}\left(18x-6\right)  

Hint: Solve for y

a)

b)

c)

d)

17.

Which of the following graphs represent the inequality x+y>−5x+y>-5  

a)
b)
c)
d)