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Laabri

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

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44 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Day 1 9/5/23

Solving Multi-Step Equations

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Day 3 9-7-23

Spiral Review

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Day 3 9-7-23

Solving Equations with Variables on Both Sides

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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.

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1.

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

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2.

What should I do FIRST to solve this problem?

3x + 5 = -16

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3.

What should I do FIRST to solve this problem?

-7 + 5f = 23

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4.

What should I do FIRST to solve this problem?

-11 = 2y + 3

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5.

What are the steps I need to solve this problem?

2x + 5 = 21

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6.

What are the steps I need to solve this problem?

-15 - 2k = -5

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7.

What are the steps I need to solve this problem?

6 = -4 + 2g

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8.
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9.

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

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

  2. Check the solution by evaluating the original expression -4(7(5)+5) to verify that it equals -160

  3. The solution is a = 5

  4. Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160

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

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10.

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

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11.

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

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

  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. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4

  5. The solution is x = -4

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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

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13.

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

  1. Simplify like terms to get the equation 13k - 6 = 7

  2. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7

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

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

  5. The solution is k = 1

  6. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

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

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15.

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

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16.

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

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17.

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

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18.

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

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19.

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

  • The variable is isolated

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20.

Name the opposite of this integer.

-9

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21.

Match each double negative subtraction problem with its simplified equivalent.

Draggable itemarrow_right_altCorresponding Item

5-(-5)

arrow_right_alt

13+16

6-(-10)

arrow_right_alt

-13+16

-13-(-16)

arrow_right_alt

5+5

13-(-16)

arrow_right_alt

6+10

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22.

Write each expression in words

9x

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23.

Which words or phrases have the same meaning as addition?

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24.

Which words or phrases have the same meaning as subtraction?

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25.

Which words or phrases have the same meaning as division?

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26.

Directions: Simplify each expression.

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27.

Simplify each expression by distributing and combining like terms.

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28.

Simplify each expression by distributing and combining like terms.

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29.

Evaluate each expression using the variable replacements.

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30.

Evaluate each expression using the variable replacements.

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31.

What term goes in the boxes?

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32.

Fill in box 3.

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33.

Solve this equation

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34.

What term goes in the boxes?

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35.

Fill in box 3.

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36.

Solve this equation

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37.

Solve this equation

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38.

Solve this equation

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39.

Solve this equation

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40.

Solve this equation

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41.

Solve this equation

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42.

Solve this equation

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43.

Solve this equation

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44.

Solve this equation