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

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Last updated about 1 year 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 9/5/23

Solving Multi-Step Equations

Question 1
1.

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

Question 2
2.

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

Question 3
3.

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

Question 4
4.

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

Question 5
5.

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

Question 6
6.

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

Question 7
7.

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

Question 8
8.
Use your notes from page 4 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Question 9
9.

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
Question 10
10.

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

Question 11
11.

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


  1. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  2. The solution is x = -4
  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. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Question 12
12.

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

Question 13
13.

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. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
  3. Simplify like terms to get the equation 13k - 6 = 7
  4. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  5. The solution is k = 1
  6. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
Question 14
14.

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

Question 15
15.

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

Question 16
16.

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

Question 17
17.

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

Question 18
18.

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

Day 3 9-7-23

Spiral Review

Question 19
19.

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

  • The variable is isolated
Question 20
20.

Name the opposite of this integer.
-9

Question 21
21.

Match each double negative subtraction problem with its simplified equivalent.

Draggable itemarrow_right_altCorresponding Item
6-(-10)
arrow_right_alt
13+16
13-(-16)
arrow_right_alt
-13+16
5-(-5)
arrow_right_alt
5+5
-13-(-16)
arrow_right_alt
6+10
Question 22
22.

Write each expression in words

9x

Question 23
23.

Which words or phrases have the same meaning as addition?

Question 24
24.

Which words or phrases have the same meaning as subtraction?

Question 25
25.

Which words or phrases have the same meaning as division?

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.


Day 3 9-7-23

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