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

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Solving Multi-Step Equations

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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.

Spiral Review

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9.

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

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10.

What should I do FIRST to solve this problem?

3x + 5 = -16

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11.

What should I do FIRST to solve this problem?

-7 + 5f = 23

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12.

What are the steps I need to solve this problem?

2x + 5 = 21

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13.

What are the steps I need to solve this problem?

-15 - 2k = -5

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14.

What are the steps I need to solve this problem?

6 = -4 + 2g

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15.
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16.

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. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5

  4. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140

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17.

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

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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. The solution is x = -4

  3. Simplify like terms to get the equation -7x - 3 = 25

  4. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28

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19.

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

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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. 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. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1

  5. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7

  6. The solution is k = 1

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21.

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

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22.

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

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23.

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

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24.

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

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25.

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

Learning Log

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26.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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27.

Learning Outcomes

What is one thing you learned?

(Use complete sentences for full credit)

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28.

Summarize the Topic

What was this lesson about?

(Use complete sentences for full credit)

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1.

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

  • The variable is isolated

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2.

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

5+5

-13-(-16)

arrow_right_alt

6+10

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3.

Which words or phrases have the same meaning as addition?

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4.

Write each expression in words

9x

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5.

Which words or phrases have the same meaning as subtraction?

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6.

Which words or phrases have the same meaning as division?

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7.

What should I do FIRST to solve this problem?

-11 = 2y + 3

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8.

Name the opposite of this integer.

-9

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29.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?