# Equations and Inequalities

## Objective

Solve one-step inequalities.

## Common Core Standards

### Core Standards

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• 6.EE.B.6 — Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

• 6.EE.B.8 — Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

## Criteria for Success

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1. Write one-step inequalities involving all four operations for real-world situations.
2. Solve inequalities using knowledge of how to solve corresponding equations.
3. Understand the difference between an equation and an inequality in representing a real-world situation.

## Tips for Teachers

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Students continue to engage in MP.2 as they write, solve, and interpret inequalities for real-world problems.

#### Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example) and Anchor Problem 3 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

## Anchor Problems

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### Problem 1

Nia has a summer job working at a restaurant. She wants to save at least $500 by the end of the summer. If Nia works for 8 weeks over the summer, how much should she save each week? Write and solve an inequality. Explain what your solution means in context of the situation. #### Guiding Questions Create a free account or sign in to access the Guiding Questions for this Anchor Problem. ### Problem 2 Omar has a gift card to a department store in the amount of$100. He spends $58 on a pair of boots and then$26 on a sweater. Omar also wants to buy a hat at the store. Using his gift card, what is the most he can spend on the hat?

Write and solve an inequality. Explain what your solution means in context of the situation.

### Problem 3

Solve the inequalities.

1.   ${{x\over3}<27}$
2.   ${x-17.45>30.6}$

## Problem Set

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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.

• Include examples similar to Anchor Problems #1 and #2. Compare these to similar situations that result in equations.
• Spiral in review of equations, especially with fractional coefficients.