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

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Last updated 10 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.
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Day 1 9/16/24

Spiral Review

Question 1
1.

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

  • The variable is isolated
Question 2
2.

Name the opposite of this integer.
-9

Question 3
3.

Match each double negative subtraction problem with its simplified equivalent.

Draggable itemarrow_right_altCorresponding Item
-13-(-16)
arrow_right_alt
13+16
13-(-16)
arrow_right_alt
-13+16
6-(-10)
arrow_right_alt
5+5
5-(-5)
arrow_right_alt
6+10
Question 4
4.

Which words or phrases have the same meaning as addition?

Question 5
5.

Write each expression in words

9x

Question 6
6.

Which words or phrases have the same meaning as subtraction?

Question 7
7.

Which words or phrases have the same meaning as division?

Question 8
8.

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

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

Day 2 9-17-24

Spiral Review

Question 26
26.

Directions: Simplify each expression.

Question 27
27.

Simplify each expression by distributing and combining like terms.


Question 28
28.

Simplify each expression by distributing and combining like terms.


Question 29
29.

Evaluate each expression using the variable replacements.


Question 30
30.

Evaluate each expression using the variable replacements.


Solving Equations with Variables on Both Sides

Question 31
31.

What term goes in the boxes?

Question 32
32.

Fill in box 3.

Question 33
33.

Solve this equation

Question 34
34.

What term goes in the boxes?

Question 35
35.

Fill in box 3.

Question 36
36.

Solve this equation

Question 37
37.

Solve this equation

Question 38
38.

Solve this equation

Question 39
39.

Solve this equation

Question 40
40.

Solve this equation

Question 41
41.

Solve this equation

Question 42
42.

Solve this equation

Question 43
43.

Solve this equation

Question 44
44.

Solve this equation