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Chapter 7: Solving Linear Equations; Lesson 1:Equations with the Variable on Both Sides

Guided Practice

Use algebra tiles to model and solve each equation.

• Question 1

$$\text{x} + 4 = -\text{x} - 4$$

•  x =
• Question 2

$$2 - 3\text{x} = -\text{x} - 8$$

•  x =
• Question 3

At Silver Gym, membership is $25 per month, and personal training sessions are$30 each. At Fit Factor, membership is $65 per month, and personal training sessions are$20 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

•  sessions
• Question 4

Write a real-world situation that could be modeled by the equation $$120 + 25\text{x} = 45\text{x}$$.

• Type below:
• Question 5

Write a real-world situation that could be modeled by the equation $$100 - 6\text{x} = 160 - 10\text{x}$$.

• Type below:

Essential Question Check-In

• Question 6

How can you solve an equation with the variable on both sides?

• Type below:

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