Unit 6, Lesson 8

Reasoning about Solving Equations (Part 2)

Grade 7

Practice

Here is a balanced hanger diagram:

Write an equation to represent the diagram.
Solve the equation by reasoning about the equation or the diagram. Explain your reasoning.

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Explain how each part of the equation \(9=3(x+2)\) is represented in the hanger diagram.

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Select the word from the following list that best describes each situation.

You deposit money in a savings account, and every year the amount of money in the account increases by 2.5%.
For every car sold, a car salesman is paid 6% of the car’s price.
Someone who eats at a restaurant pays an extra 20% of the food price. This extra money is kept by the person who served the food.

Clare drew this diagram to match the equation \(2x+16=50\), but she got the wrong solution as a result of using this diagram.