Inequality Applications – Homework!

Directions: Read through each word problem and identify an appropriate inequality to represent the situation. When asked,

solve! Be sure to include a unit!

1. A friend texts you asking you to help him on his math assignment. The text reads, “Six less than three times a

number is greater than twelve… Can you help me write the inequality?”

a. If you let x represent the number, what inequality best models the info?

b. Can you also help your friend solve the inequality?

2. You’re on a quick shopping spree at Target and to your surprise, they’re having a sale – if you spend at least $100

(before tax), you get 30% off your total bill. You already have three items in your cart – toothpaste ($4.99),

garbage bags ($12.99) and a new back pack ($39.99) – and you’re going to load up on paper towels ($19.99 for a

jumbo pack) to help you reach the $100 mark.

a. Write an inequality to represent the number of packs of paper towels you’d need to buy to reach the $100

savings mark.

b. What is the minimum number of paper towel packs you’d need to buy to save 30% on your total bill?

3. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the

account by the end of the summer. He withdraws $34 each week for food, household items and gas.

a. Write an inequality that represents Keith’s situation.

b. How many weeks can Keith withdraw $34 from his account if he wants to have at least $200 saved?

Unit 2 Day 7

4. Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to

babysit and her Father gave her $10 for mowing the lawn. What is the minimum amount of hours she will need

to babysit in order for her to buy her calculator?

Review!

5. 5 2( 6)x x 6. 3 8 2( 4)x x

Graph: Graph:

Inequality: Inequality:

Interval: Interval:

7. 2 4 13x x 8. 2 7 7 3x x x

Graph: Graph:

Inequality: Inequality:

Interval: Interval:

Up for a challenge? The length of a rectangle is 5 times its width. The perimeter of the rectangle is at most 108

meters. Find the greatest possible dimensions of this rectangle.