Inequality Word Problems/Verbal Phrases

Inequality Word Problems

Math Response

Answer the following word problem:

"It is going to cost Billy $20 to rent a truck for the day plus an additional $0.50 per mile driven. If he does not want to spend more than $100, how many miles can he drive the truck?

Type answer here

Correct Answer: 160

Deg^°

Rad

Math Response

Answer the following word problem:

"Little John is selling lemonade. His cost of supplies is $30.00, and he plans to charge $2 per cup of lemonade. How many cups of lemonade does he need to sell to make at least $200?

Type answer here

Correct Answer: 115

Deg^°

Rad

Multiple Choice

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?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Multiple Choice

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.

Multiple Choice

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

Multiple Choice

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

• x ≥ 10

• x > 10

• x ≤ 10

• x < 10

Multiple Choice

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which inequality represents this situation?

• $$176\ge80+8x$$

• $$176\le80x+8$$

• $$80+8x\ge176$$

• $$80x+8\le176$$

Multiple Choice

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. How many cups of lemonade does Stacy need to sell to reach a minimum of $150 in her savings account?

• 63

• 125

• 250

• 300

Multiple Choice

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.

Which inequality could help you find how many dogs Katie would have to walk to reach her goal?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x < 200

Multiple Choice

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62
• k > 62
• k < 62
• k ≥ 62