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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