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1.5 Solving Multi-step Equations (Due 9/8/2023)

Last updated 12 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 9/5/23

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

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. The solution is a = 5
  2. Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160
  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. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
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. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
  2. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  3. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
  4. Simplify like terms to get the equation -7x - 3 = 25
  5. The solution is x = -4
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. The solution is k = 1
  2. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
  3. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
  4. Simplify like terms to get the equation 13k - 6 = 7
  5. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  6. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
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 3 9-7-23

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
-13-(-16)
-13+16
5-(-5)
5+5
6-(-10)
6+10
Required
5

Write each expression in words

9x

Required
8

Which words or phrases have the same meaning as addition?

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
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.


Day 3 9-7-23

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