3.3.2 Multistep Equations 3 & Special Cases

Match

Match each expression to its equivalent expression

• 2(3x – 4)

• 5(x – 2)

• 4(2x – 2)

6x – 8

5x – 10

8x - 8

• 6x – 8

• 5x – 10

• 8x - 8

Drag and Drop

​ ​ 2x = 4

What are the resulting equations for each step you took as you worked to solve 4(x + 5) = 2x + 24?

​

Placeholder

4x + 20 = 2x + 24



​

Placeholder

2x = 4



​

Placeholder

x = 2



​

Placeholder

2x + 20 = 24

Drag these tiles and drop them in the correct blank above

Step 2

Step 4

Step 1

Step 3

Math Response

What is the solution for the equation 8(2x – 1) – 12x = -4?

x = __

Type answer here

Correct Answer: 1

Deg^°

Rad

Draw

What strategy should you use to solve each equation?

Match

Match each equation with the most appropriate strategy to begin solving the equation.

• 4(x – 2) = 12

• 8x + 2 = 4x + 10

• 7x – 3x + 5 = 13

Apply the distributive property

Use the property of equality

Combine like terms

• Apply the distributive property

• Use the property of equality

• Combine like terms

Draw

The equation 5(2x – 1) = 3x + 16 is solved below. Parts of the work and solution are missing. What are the terms missing from the work?

Hotspot

Which of the following equations could be the result of completing the first step to solve the equation 5(2x + 1) = 25?

Match

Match each equation to the correct description

• y = 8

• 8 = 8

• 2 = 8

Open Sentence

True Statement

False Statement

• Open Sentence

• True Statement

• False Statement

Match

Match each equation with the correct number of solutions.

• No Solution

• One Solution

• Infinitely Many Solutions

15x + 8 = 15x + 3

7x - 5 = 9x + 3

6x - 11 = 6x - 11

• 15x + 8 = 15x + 3

• 7x - 5 = 9x + 3

• 6x - 11 = 6x - 11

Multiple Choice

Which value will result in the equation below having infinitely many solutions?

• 8

• 3

• 4

• 6

Multiple Select

Which statements about the equation 3(2x – 1) = 6x – 3 are true?

• Simplify the left side of the equation by distributing.

• There are infinitely many solutions.

• There is no solutions.

• Simplify the left side of the equation by combining like terms.

Draw

Fill in the blanks to make equations with no solution and infinitely many solutions. There may be more than one possible answer.

Multiple Choice

Which of the following values create an equation with infinitely many solutions when substituted for the blank in the equation

• 15

• 5

• 20

• 4

Draw

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