zMath Intervention Math (19-36) - Unit 28: Integers: Addition and Subtraction
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.)

Real Numbers

1) True or False. All of the numbers listed below are “Real Numbers”.

2) True or False. All of the numbers listed below are “Rational Numbers”.

3) True or False. All of the numbers listed below are “Integers”.

4) True or False. All of the numbers listed below are “Irrational Numbers”.

5) Two of the previous four problems are false. For the answers that are false, identify the numbers that do not belong in the given set of numbers. State the number of the question and give the number or numbers that are out of place

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Order of Operations

6) To evaluate the given math expression, which operation is performed FIRST?

7) Which expression is the second step in evaluating the expression? State the letter of the correct answer.

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8) Fill in the missing step that is needed to complete the evaluation of the given expression based on the rules for order of operations.

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9) Evaluate the given expression.

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10) Evaluate the given expression.

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Comparing Integers

11) In the game of golf, the score is determined by how many strokes under par the player can achieve for each hole on the course. A score of Par is zero (0) and means that the player achieved putting the ball in the hole in the desired number of strokes. If a player puts the ball in the whole in less than the number of desired strokes, then his score is “under Par” and can be considered a negative number. If after four holes, Allen’s score is “3 under par”, which number could represent his score?

12) What number is missing in the set of integers?

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13) Compare the two integers by replacing the circle with the correct inequality symbol.

14) Compare the two integers by replacing the circle with the correct inequality symbol.

Absolute Value

15) The absolute value of a number is the distance the number is away from _____ on the number line.

Refer to the number line, if needed, to determine the absolute value of the given numbers in the next two problems.

16) What is the absolute value of | –6 |?

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17) True or False. | –9 | = | 9 |

Introduction to Adding Integers

For the next two questions, use integers to describe each situation.

18) State an integer for the following scenario: “200 feet below sea level”

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19) State an integer for the following scenario: “the temperature rose 13 degrees”

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20) The illustration represents which addition problem?

21) Without adding the integers, determine if the answer to the following problem is positive or negative: –8934 + –9567 = n

22) Without adding the integers, determine if the answer to the following problem is positive or negative: 8934 + –9567 = n

Introduction to Subtracting Integers

23) The illustration represents which subtraction problem?

24) Apply the rule for subtracting integers by completing the following statement: “–2 – 6” is the same as “–2 + ______”.

Adding and Subtracting Integers

For the next three problems, use addition of integers to find the sum.

25) What is the sum? –18 + –24 = n

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26) What is the sum? –16 + 18 = n

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27) What is the sum? 40 + –17 = n

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For the next three problems, use subtraction of integers to find the difference.

28) What is the difference? –15 – (–21) = n

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29) What is the difference? –50 – 25 = n

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30) What is the difference? 12 – 17 = n

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31) An elevator in a hotel goes from two floors below ground level up to the twenty-second floor. A number is not assigned to the thirteenth floor as is a custom with many hotels. In other words, the number of the floor directly above the twelfth floor is the fourteenth floor. Which math sentence could be used to find the number of floors that are in the building?

Fractions and Decimals with Signs

For the last two problems, solve and express the answers as fractions or mixed fractions.

32) What is the sum?

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33) What is the difference?

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