Adding & Subtracting Integers



A. Complex Number System

1. Fill in the blanks with the numbers from the set. Remember the numbers may be used more than once.

[pic]

a. Irrational Numbers:

b. Rational Numbers:

c. Integers:

d. Whole Numbers:

e. Natural Numbers:

2. (Multiple Choice) The number [pic] is in which of the following set(s) of numbers?

I. Irrational Numbers

II. Rational Numbers

III. Integers

IV. Whole Numbers

IV. Natural Numbers

A. All of the sets B. II, III and IV C. II only D. II and III

B. Adding & Subtracting Integers

Simplify each expression.

1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic]

9. [pic] 10. [pic] 11. [pic] 12. [pic]

C. Adding & Subtracting Fractions

1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

7. [pic] 8. [pic] 9. [pic]

D. Multiplying & Dividing Integers

Multiply the following:

1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic]

9. [pic] 10. [pic] 11. [pic] 12. [pic]

Divide the following:

13. [pic] 14. [pic] 15. [pic] 16. [pic]

E. Multiplying & Dividing Fractions

Find each product or quotient.

1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic]

9. [pic] 10. [pic] 11. [pic] 12. [pic]

F. Order of Operations

Simplify each expression using the order of operations.

1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

7. [pic] 8. [pic] 9. [pic]

G. Properties of Real Numbers

Name the property (commutative, associative, distributive, or identity) illustrated.

1. 32 + 17 = 17 + 32 __________________________

2. 13 (21 – 9 ) = 13 (21) – 13 (9) __________________________

3. [pic] __________________________

4. –8.2 (2 + 5.3) = (2 + 5.3) (–8.2) __________________________

5. [pic] __________________________

6. (2 + 4) + 3 = 2 + (4 + 3) __________________________

7. 2 (4 + 7) = [pic] __________________________

8. (11 + 0) + 7 = 11 + 7 __________________________

9. 9 (3) = 3 (9) __________________________

10. [pic] __________________________

H. Solving Linear Equations

Solve for the variable. SHOW ALL STEPS FOR FULL CREDIT

1. [pic] 2. –12w = 32 3. 18 – 2x = 10

4. 3p + 5 = 26 5. [pic] 6. 6(x – 2) = 30

7. 5n – 2(2 – n) = –7 8. 8x – 4 + 5x = 22 9. 2(x – 4) + 5(x + 1) = 21

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