Multi-Step EquationsNotes and Worksheet

Includes an Exit Slip!

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Possible Directions:

First page:

1. Copy enough for all students (not back-to-back)

2. Go through the steps and examples as a whole class, having students fill out the notes page as you go.

3. With the two practice problems, students can complete them as a whole class, independently or with partners.

4. Have students cut the page out and glue it into their notebooks.

5. I like to walk around to make sure students have the correct answers while they’re gluing.

Extra Practice Sheet and Assessment:

This can be assigned for homework or in-class practice, or given as an assessment.

From a Love

Notes

To solve a multi-step equation, complete the following steps.

Equation with variable on one side Equation with variable on both sides

Try it Out: Try it Out:

Describe why it is helpful to show your work when solving equations. Why should you check your work?

2(x + 5) + 3x = 20 6y + 12 = -2(y + 10)

-3x + 5(x + 3) = 23 3(m + 7) = 6(m + 2)

Complete this page, then cut out along the dotted lines and glue into your notebooks.

REMEMBER: Only a few drops of glue is needed along the edge of the page! Do not cover the whole thing in glue! :)

Step 1:Step 2:Step 3:Step 4:

©2014 Math on the Move

From a Love

Solve each equation. Check your answer in the space provided. Show all work.

Name

-7x - 5x + 8 = -16

Check your Solution

Multi-Step Equations - Practice

Check your Solution

Check your Solution Check your Solution

Check your Solution Check your Solution

1 2

3 4

5 6

-3m - 5 = 5m - 13

6(y + 7) = 2(y - 3) 3x + 2(x - 5) = 25

10q + 3q + 5 = 2(q - 3) (x + 6) = 13

23 (x - 9)

©2014 Math on the Move

From a Love

Solve each equation. Check your answer in the space provided. Show all work.

Name

8k + 12 = 2(k - 3)

Check your Solution

Multi-Step Equations - Assessment

Check your Solution

1 23x + 4x + 5 = 19

Solve each equation. Check your answer in the space provided. Show all work.

Name

Check your Solution

Multi-Step Equations - Assessment

Check your Solution

1 23x + 4x + 5 = 19 8k + 12 = 2(k - 3)

©2014 Math on the Move

©2014 Math on the Move

From a Love

Notes - KEY

To solve a multi-step equation, complete the following steps.

Equation with variable on one side Equation with variable on both sides

Try it Out: Try it Out:

Describe why it is helpful to show your work when solving equations. Why should you check your work?

2(x + 5) + 3x = 20 6y + 12 = -2(y + 10)

-3x + 5(x + 3) = 23 3(m + 7) = 6(m + 2)

Complete this page, then cut out along the dotted lines and glue into your notebooks.

REMEMBER: Only a few drops of glue is needed along the edge of the page! Do not cover the whole thing in glue! :)

Step 1:Step 2:Step 3:Step 4:

Simplify both expressions on each side of the equal signSubtract one variable from both sides (if needed)Solve equation using inverse operationsCheck your answer

2x + 10 + 3x = 205x + 10 = 20

- 10 - 105x = 105 5x = 2

6y + 12 = -2y + (-20)+2y+2y

8y + 12 = -20- 12 - 12

8y = -32 y = -4

2(2 + 5) + 3(2) = 2020 = 20

6(-4)+ 12 = -2(-4 + 10)-12 = -12

x = 4 x = 3

©2014 Math on the Move

From a Love

Solve each equation. Check your answer in the space provided. Show all work.

Name

-7x - 5x + 8 = -16

Check your Solution

Multi-Step Equations - Practice

Check your Solution

Check your Solution Check your Solution

Check your Solution Check your Solution

1 2

3 4

5 6

-3m - 5 = 5m - 13

6(y + 7) = 2(y - 3) 3x + 2(x - 5) = 25

10q + 3q + 5 = 2(q - 3) (x + 6) = 13

23 (x - 9)

KEY

x = 24q = -1

x = 2 m = 1

y = -12 x = 7

©2014 Math on the Move

From a Love

Solve each equation. Check your answer in the space provided. Show all work.

Name

8k + 12 = 2(k - 3)

Check your Solution

Multi-Step Equations - Assessment

Check your Solution

1 23x + 4x + 5 = 19

Solve each equation. Check your answer in the space provided. Show all work.

Name

Check your Solution

Multi-Step Equations - Assessment

Check your Solution

1 23x + 4x + 5 = 19 8k + 12 = 2(k - 3)

KEY

x = 2 k = -3

©2014 Math on the Move

©2014 Math on the Move

From a Love

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