Algebra 1 | Unit 2 | Lesson 18: Representing Situations with Inequalities | Practice Problems

Tyler goes to the store. His budget is $125. Which inequality represents the amount in dollars Tyler can spend at the store?

Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Select all the mathematical statements that represent the quantities and constraints in the situation.

Han wants to build a dog house. He makes a list of the materials needed: At least 60 square feet of plywood for the surfaces, at least 36 feet of wood planks for the frame of the dog house, between 1 and 2 quarts of paint. Han's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart. Write inequalities to represent the material constraints and cost constraints in this situation. Be sure to specify what your variables represent.