Log inSign up for FREE
Library

1.5 Solving Multi-step Equations (Due 9/16/2024)

Last updated 8 months ago
44 questions
Note from the author:
Essential Question: How do you solve multi-step equations with variable on both sides of the equal sign?

Learning Target: Students will be able to solve equations with variables on both sides of the equal sign that represent real-world problem.

Complete the entire assignment and show work for full credit.
Essential Question: How do you solve multi-step equations with variable on both sides of the equal sign?

Learning Target: Students will be able to solve equations with variables on both sides of the equal sign that represent real-world problem.

Complete the entire assignment and show work for full credit.

Day 1 9/16/24

Spiral Review

Required
4

Vocabulary Review: Classify the equation(s) in which the variable is isolated.

  • The variable is isolated
Required
2

Name the opposite of this integer.
-9

Required
10

Match each double negative subtraction problem with its simplified equivalent.

Draggable itemCorresponding Item
-13-(-16)
13+16
6-(-10)
-13+16
5-(-5)
5+5
13-(-16)
6+10
Required
8

Which words or phrases have the same meaning as addition?

Required
5

Write each expression in words

9x

Required
8

Which words or phrases have the same meaning as subtraction?

Required
8

Which words or phrases have the same meaning as division?

Required
3

What should I do FIRST to solve this problem?
-11 = 2y + 3

Solving Multi-Step Equations

Required
3

When solving two-step equations, always start with the __________.

Required
3

What should I do FIRST to solve this problem?
3x + 5 = -16

Required
3

What should I do FIRST to solve this problem?
-7 + 5f = 23

Required
3

What are the steps I need to solve this problem?
2x + 5 = 21

Required
3

What are the steps I need to solve this problem?
-15 - 2k = -5

Required
3

What are the steps I need to solve this problem?
6 = -4 + 2g

Required
5
Use your notes from page 4 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Required
10

Put the steps in the correct order to solve this multistep equation.


  1. Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160
  2. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  3. Check the solution by evaluating the original expression -4(7(5)+5) to verify that it equals -160
  4. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  5. The solution is a = 5
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Put the steps in the correct order to solve this multistep equation.


  1. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
  2. Simplify like terms to get the equation -7x - 3 = 25
  3. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  4. The solution is x = -4
  5. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
12

Put the steps in the correct order to solve this multistep equation.



  1. Simplify like terms to get the equation 13k - 6 = 7
  2. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  3. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
  4. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
  5. The solution is k = 1
  6. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Day 2 9-17-24

Spiral Review

Required
5

Directions: Simplify each expression.

Required
10

Simplify each expression by distributing and combining like terms.


Required
10

Simplify each expression by distributing and combining like terms.


Required
10

Evaluate each expression using the variable replacements.


Required
10

Evaluate each expression using the variable replacements.


Solving Equations with Variables on Both Sides

Required
5

What term goes in the boxes?

Required
10

Fill in box 3.

Required
10

Solve this equation

Required
5

What term goes in the boxes?

Required
10

Fill in box 3.

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation