MATH Integrated Math I  - Unit 6: Solving Equations
Some of the questions in this unit may be answered by recording an audio file. If you chose to record the answer, click on the "Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.)

Distributive Property

1) Use the distributive property to simplify.

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2) Use the distributive property to simplify.

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3) Use the distributive property to simplify.

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4) Use the distributive property to simplify.

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Simplify Expressions

5) Simplify by combining like terms.

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6) Simplify by combining like terms.

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7) Simplify by combining like terms.

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8) Simplify by combining like terms.

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9) Simplify.

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10) Simplify.

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11) Apply the distributive property, and then simplify by collecting like terms.

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12) Apply the distributive property, and then simplify by collecting like terms.

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13) Help Jenny! Jenny solved the given problem incorrectly. Study Jenny’s solution, explain what she did wrong, and then state the correct answer.

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Using Inverses to Solve Equations

14) Solve for “k”.

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15) Solve for “x”.

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16) Solve for “x”.

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17) Solve for “y”.

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18) Solve for “c”.

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19) Solve for “b”.

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20) Solve for “x”.

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Solving Multi-step Equations

21) Solve for “x”.

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22) Solve for “y”.

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23) Solve for “x”.

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24) Solve for “x”.

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25) Solve for “x”.

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26) Solve for “x”.

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27) Solve for “x”.

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28) Solve for “y”.

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29) Help Jeremy! Jeremy solved the given problem incorrectly. Study Jeremy’s solution, explain what he did wrong, and then state the correct answer.

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Problem Solving

30) Jocelyn earns $375 per week plus a 4% expense check for her total weekly expenses. Which expression represents the amount of money Jocelyn will earn after 8 weeks?

31)

Stan paid $68 down on a Christmas layaway that totaled $452. He paid the balance in 5 equal installments. Write an equation, and then solve. (a) State the solution.(b) State the equation that you used to solve the problem.


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32) The Tacoma Blue Hawks’ soccer team won three less than two times as many games as they lost. The team played 18 games. How many games did they win? How many games did they lose? (a) State an equation that could be used to solve the problem. (b) State the number of wins. (c) State the number of losses.

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33) Sarah’s grandma is 3 times older than Sarah, plus 13 years. Sarah’s grandma is 58 years old. How old is Sarah? (a) State an equation that could be used to solve the problem. (b) State Sarah’s age.

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