zMath Intervention Math  - Unit 5: Solving Basic 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.)

Solving One-Step Equations

For the first twelve problems, solve for the unknown values represented by the variables by using the inverse operations.

1) Solve: x + 14 = 52

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2) Solve: 11 + w = 11

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3) Solve: s + 368 = 800

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4) Solve: n – 2.8 = 4.5

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5) Solve: a – 96 = 0

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6) Solve: 46 = n – 4.8

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7) Solve: 8m = 10.4

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8) Solve: 7p = 343

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9) Solve: 26r = 390

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10) Solve for “x”.

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11) Solve for “n”.

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12) Solve for “z”.

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Solving Equations Using Squares and Square Roots

13) The numbers listed below are what kind of numbers?

14) The square root of 80 is what kind of number?

15) Solve for “x”.

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16) Solve for “t”.

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17) The two numbers that are the solution to the previous problem are what kind of numbers?

18) Solve for “s”.

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19) Solve for “c”. Round the answer to the nearest tenth.

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20) The two numbers that are the solution to the previous problem are what kind of numbers?

21) Solve for “w”.

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22) Solve for “p”.

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23) Solve for “f”.

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24) Solve for “x”. State the letter of the correct answer.

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25) Solve for “y”. State the letter of the correct answer.

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26) Solve for “k”. State the letter of the correct answer.

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Identifying Necessary Facts

27) Is the following problem solvable? The marching band sponsors two car washes per year to help pay for their annual trip to band camp. This year they earned $150 and $225 for the two car washes. How much more money is needed for the trip to band camp?

28) If the previous problem is solvable, solve the problem and state the answer; otherwise, state the missing fact(s) that is(are) needed to solve the problem.

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29) Is the following problem solvable? Jenni is getting married and is planning her reception. It will cost her $450 for a DJ, $375 to rent decorations, and $795 to rent a reception hall. Jenni has $4000 saved for the reception. How much money does Jenni have left to spend on other costs?

30) If the previous problem is solvable, solve the problem and state the answer; otherwise, state the missing fact(s) that is(are) needed to solve the problem.

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31) Is the following problem solvable? Stacy wanted to triple a cookie recipe that called for 2 cups of flour, 1 cup of milk, and 1 egg for a single batch of cookies. How much sugar does Stacy need to triple the recipe?

32) If the previous problem is solvable, solve the problem and state the answer; otherwise, state the missing fact(s) that is(are) needed to solve the problem.

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33) Write a solvable problem related to the picture shown below. Included extra facts that are not needed to solve the problem. (a) State the problem. (b) State the extra facts given. (c) What is the answer to the problem?

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