Unit 7, Lesson 1
Representing Situations with Inequalities
Integrated Math 1
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Tyler goes to the store. His budget is $125. Which inequality represents
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.
Let
Select all the mathematical statements that represent the quantities and constraints in the situation.
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A doctor sees between 7 and 12 patients each day. On Mondays and Tuesdays, the appointment times are 15 minutes. On Wednesdays and Thursdays, they are 30 minutes long. On Fridays, they are one hour long. The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
Han wants to build a dog house. He makes a list of the materials needed:
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.
The equation
Which equation is solved for the height of the cone?
Solve each system of equations without graphing.
There is a pair of
Explain why the same pair of values also makes
Which ordered pair is a solution to this system of equations?
Which equation has exactly one solution in common with the equation
How many solutions does this system of equations have? Explain how you know.
The triangle whose vertices are
The image is congruent to the original triangle.
The image is similar but not congruent to the original triangle.
The image is neither similar nor congruent to the original triangle.