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

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Last updated 14 days ago
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. The solution is a = 5
  2. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  3. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  4. Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160
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. The solution is x = -4
  3. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  4. undo multiplying by -7 by dividing by both sides of the equation by -7 to get 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. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
  2. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  3. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
  4. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
  5. The solution is k = 1
  6. Simplify like terms to get the equation 13k - 6 = 7
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
-13-(-16)
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13+16
13-(-16)
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-13+16
6-(-10)
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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?
groups of
less than
increased by
multiply
product
split
total
more than
how many groups of_____ are in_____
together
Which words or phrases have the same meaning as subtraction?
together
___ groups of ___
less than
difference
increased by
how many groups of_____ are in_____
groups of
multiply
decreased by
the distance between
product
Which words or phrases have the same meaning as division?
total
less than
minus
split in half
increased by
put into four equal parts
multiply
how many groups of_____ are in_____
more than
product
divide