Math
Unit 4
7th Grade
Lesson 8 of 12
Solve and graph one-step inequalities.
This lesson is approaching 7.EE.4b and reaches back to sixth-grade standards to revisit inequality concepts before students look at two-step inequalities in the upcoming lessons. Students may use number lines as an optional tool in this and the next few lessons to support their understanding of number comparisons and inequality statements (MP.5).
An airline allows passengers to bring a suitcase that weighs less than 30 pounds onto the airplane for free. If a suitcase weighs 30 pounds or more, then the passenger will be charged a fee. Elena is going on a trip and is packing her suitcase. Her suitcase weighs 4.8 pounds when it is empty.
a. Elena packs 25 pounds in her suitcase and believes that she can safely avoid the fee. Is she correct? Explain your reasoning.
b. Write an inequality to represent the number of pounds that Elena can pack in her suitcase and not pay the fee.
Which graph below shows all values of $${x \geq -2.5}$$?
Which graph below shows all values of $${x< -2.5}$$?
For the remaining graph, what inequality represents the solutions shown in the graph?
a.
b.
c.
Your cat’s vet recommends a diet for your cat of no more than 1,800 calories per week. In a 7-day week, how many daily calories you can feed your cat and still be following the vet’s recommendation?
Write and solve an inequality to represent the situation. Sketch a graph of the solution on a number line.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 7
Lesson 9
Topic A: Solving and Modeling with Equations
Topic B: Solving and Modeling with Inequalities