Solving Single-Variable Linear Equations

Review of Solving Linear Equations

Essential Question: How do I solve linear equations?

Learning Target: I can solve linear equations with a variable on one side and both sides.

Group Work

Let's start off the first 20 minutes of math in groups!

With your group members, tell me the value of x using the scientific calculator with the problem on the next slide.

https://www.desmos.com/testing/northcarolina/scientific

Multiple Choice

$$\frac{5}{2}\left(x-2\right)+2x-4=9$$

• 0

• 3

• 4

• 6

Audio Response

Explain how you selected your answer for the previous problem. Include how your group members contributed.

Open Audio Recorder

Let's discuss

How did you determine which choice made the equation true?

Multiply the term on the outside with the terms on the inside of the parentheses

​Complete two problems in groups (10 minutes)

​Do you recall the distributive property

Draw

Solve for x in the equation.

4(x - 3) = 40

Draw

Solve for x in the equation.

2(4x - 3 ) = 2

Audio Response

Explain how you solved for "x" in one of the previous problems. Include how your group members contributed.

Open Audio Recorder

Let's take some notes

Let's work together

Draw

Solve

3(x - 4) + 5x - 4 = 12

Draw

Solve

4(y - 2) - 6y = -2(3y + 2)

Group Work

Let's finish the lesson in groups!

No calculator this time!

Find the value of the variable in each problem.

Again, do not use the calculator!

Multiple Choice

Analyze the equation.

3(x + 2) = 5x + 8

What is the value of x?

• -3

• -1

• 1

• 3

Multiple Choice

What is the first step to solve a multi-step equation with parentheses?

• Guess and check

• Use the same operation that it is in the problem

• Distribute to eliminate parentheses

• Substitute numbers in the equation

Reorder

Reorder the following

• 15x - 6 = 3x + 8 - 2x

• 15x - 6 = x + 8

• 15x = x + 14

• 14x = 14

• x = 1

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

What value represents the solution to the equation below?

$$2\left(x+5\right)=\frac{1}{2}\left(x-4\right)$$

DO NOT use the calculator

• -8

• -6

• 6

• 8

Multiple Choice

What value of x will make the statement below true?

$$\frac{5}{2}\left(6x-8\right)=\frac{1}{3}\left(9x\ +12\right)$$

DO NOT use the calculator

• x = -3

• x = -2

• x = 2

• x = 3

We met our goal!

I can solve linear equations with variables on one side or both sides of the equation. 😀