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

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29 questions
Note from the author:
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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 linear equations?

Learning Target: Students will be able to solve equations that contain more than three steps to solve.

Complete the entire assignment and show work for full credit.

When answering question that require writing, use complete sentences that are in your own words.

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Solving Multi-Step Equations

Question 9
9.

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

Question 10
10.

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

Question 11
11.

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

Question 12
12.

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

Question 13
13.

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

Question 14
14.

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

Question 15
15.
Use your notes from page 3 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Question 16
16.

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. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  4. The solution is a = 5
Question 17
17.

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

Question 18
18.

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


  1. Simplify like terms to get the equation -7x - 3 = 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. The solution is x = -4
Question 19
19.

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

Question 20
20.

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



  1. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
  2. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  3. Simplify like terms to get the equation 13k - 6 = 7
  4. The solution is k = 1
  5. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
  6. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
Question 21
21.

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

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Question 25
25.

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

Learning Log

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Question 26
26.

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Question 27
27.

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Question 28
28.

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Spiral Review

Question 1
1.

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

  • The variable is isolated
Question 2
2.

Match each double negative subtraction problem with its simplified equivalent.

Draggable itemarrow_right_altCorresponding Item
6-(-10)
arrow_right_alt
13+16
-13-(-16)
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-13+16
13-(-16)
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arrow_right_alt
Question 3
3.

Question 4
4.

Write each expression in words

9x

Question 5
5.

Question 6
6.

Question 7
7.

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

Question 8
8.

Name the opposite of this integer.
-9

Question 29
29.

5+5
5-(-5)
6+10
Which words or phrases have the same meaning as addition?
together
total
split
more than
less than
product
how many groups of_____ are in_____
increased by
groups of
multiply
Which words or phrases have the same meaning as subtraction?
product
increased by
less than
multiply
how many groups of_____ are in_____
decreased by
together
groups of
the distance between
difference
___ groups of ___
Which words or phrases have the same meaning as division?
less than
minus
divide
increased by
total
how many groups of_____ are in_____
split in half
more than
product
put into four equal parts
multiply