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

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44 questions
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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 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

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. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  2. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  3. Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160
  4. Check the solution by evaluating the original expression -4(7(5)+5) to verify that it equals -160
  5. The solution is a = 5
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 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 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. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  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. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
  6. The solution is 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
5-(-5)
arrow_right_alt
-13+16
-13-(-16)
arrow_right_alt
arrow_right_alt
Question 22
22.

Write each expression in words

9x

Question 23
23.

Question 24
24.

Question 25
25.

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

5+5
13-(-16)
6+10
Which words or phrases have the same meaning as addition?
less than
how many groups of_____ are in_____
increased by
total
product
more than
multiply
groups of
split
together
Which words or phrases have the same meaning as subtraction?
how many groups of_____ are in_____
the distance between
product
together
less than
groups of
difference
___ groups of ___
multiply
decreased by
increased by
Which words or phrases have the same meaning as division?
more than
divide
less than
put into four equal parts
how many groups of_____ are in_____
multiply
minus
product
total
split in half
increased by