MATH Integrated Math I  - Unit 1: Integers
Absolute Value

1) The absolute value of a number is the distance the number is away from _____.

2) Find the absolute value: |–8|

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3) Find the absolute value: |8|

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4) True or False. |–12| = |12|

Comparing Integers

5) Solve.

6) Solve.

7) Solve.

8) Solve.

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

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Adding Integers

For the next two problems, refer to the unit link “Introduction to Adding Integers” for examples.

10) Select the correct addition sentence represented by the illustration shown below.

11) Select the correct addition sentence represented by the illustration shown below.

12) Find the sum: –36 + 12

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13) Find the sum: –82 + –14

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14) Find the sum: 58 + 17

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15) Find the sum: 28 + –87

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Subtracting Integers

For the next two problems, refer to the unit link “Introduction to Subtracting Integers” for examples.

16) Select the correct subtraction sentence represented by the illustration shown below.

17) Select the correct subtraction sentence represented by the illustration shown below.

18) Find the difference: 48 – (–23)

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19) Find the difference: –20 – (–84)

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20) Find the difference: –35 – 25

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Multiplying Integers

For the next two problems, refer to the unit link “Introduction to Multiplying Integers” for examples.

21) Fill in the missing numbers to complete the pattern. Write the missing numbers in the order that they occur in the pattern.

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22) Fill in the missing numbers to complete the pattern. Write the missing numbers in the order that they occur in the pattern.

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23) Find the product: –24 x 14

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24) Find the product: 35 x (–62)

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25) Find the product: –30 x (–33)

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Dividing Integers

26) True or False. If 9 x (–6) = –54, then –54 / (–6) = 9.

27) Find the quotient.

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28) Find the quotient.

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29) Find the quotient.

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Applications

30) Explain how to solve the following problem, and then state the final answer: 12(–5)(8) = n

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31) Patty has a credit card debt of $3,556. She makes a payment of $100. She also charges $529 on the card. What is her new balance before finance charges are added on?

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32) The lowest place on Earth, the Dead Sea, with Israel and Jordan on its border, is 1,200 feet BELOW sea level. The tallest mountain on Earth, Mount Everest, located in Tibet and Nepal, is 29,035 feet high (ABOVE sea level). How many feet are there between the highest point and the lowest point on Earth?

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33) In the diagram below, the key shows the meaning of the symbols. A plus (+) means a charge of (+1). A minus (–) means a charge of (–1). The combined symbol of plus and minus means a neutral charge or a charge of (0). Placing a (+1) charge with a (–1) charge results in a neutral charge. To determine the overall charge on a container, combine all possible positive and negative charges to neutralize them, and then find the charge by using the symbols that are left over. The charge on the “Example Container” is (+3). What is the charge on the laboratory container?

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