1. Backtracking and Graphing
Solving Inequalities
Backtracking and Graphing

2. Donnie has $50. He wants to buy some $2 packs of gum and still have more than $35 to use on a birthday present for his mom. How many packs of gum can he buy? Solve and graph.

3. Mr. Johns has $100,000 dollars to spend on laptop computers
Mr. Johns has $100,000 dollars to spend on laptop computers. Each laptop cost $ How many can he buy and still have at least $200 to buy a cart for them?

4. To make money for Kids Against Hunger, the students at Meredith are selling shamrocks that students can buy and have delivered to their friends on the day before apring break. Mr. Johns is buying the shamrocks for the 7th grade. The students plan to sell the shamrocks for $0.25 each, but they do also have to pay back the $20 to Mr. Johns. How many shamrocks must they sell to make at least $150 profit?

5. As a salesperson, William is paid $50 per week plus $3 per sale
As a salesperson, William is paid $50 per week plus $3 per sale. This week William has set a goal to make at least $100. Write an inequality for the number of sales William needs to make and describe the solutions using a graph.

6. Manuel needs to buy the ingredients to make a double batch of macaroni and cheese with hamburger. (He needs one box of macaroni and cheese that costs $0.85 and 1 pound of hamburger to make one batch). He has several types of hamburger to choose from at the grocery store. Manuel’s mom gave him $5 to get the ingredients. What is the most he can spend for one pound of hamburger?

7. The homeless shelter is asking for donations of tooth paste and toothbrushes. Kim has decided to use her allowance money that she has saved to get 5 sets of tooth paste and brushes. If the toothpaste cost $2.50 a tube, how much can she spend on each tooth brush if she doesn’t want to spend more than $20 of her allowance?