1. RMath 120 - KM1 Chapter R: Review of Basic Algebra R.1 The Set of Real Numbers R.2 Operations with Real Numbers R.3 Exponential Notation and Order of Operations R.4 Intro to Algebraic Expressions R.5 Equivalent Algebraic Expressions R.6 Simplifying Algebraic Expressions R.7 Properties of Exponents and Scientific Notation

2. RMath 120 - KM2 REAL NUMBERS Rational Numbers: a/b with b  0 Integers: …-2,-1,0,1,2,… Whole Numbers: 0,1,2,3,… Natural Numbers: 1,2,3,… A Map of the Number Sets Irrationals: pi, e,  3, 2.122122212222…

3. RMath 120 - KM3 Identifying Numbers 1. Name the: a)Natural Numbers b)Whole Numbers c)Integers d)Rational Numbers e)Irrational Numbers f)Real Numbers

4. RMath 120 - KM4 ROSTER Notation for a SET 2. Use ROSTER Notation to name the set of all odd numbers between 2 and 8.

5. RMath 120 - KM5 SET-BUILDER Notation 3. Use SET-BUILDER Notation to name the set of all Real Numbers greater than -7.

6. RMath 120 - KM6 ORDER for the Real Numbers 4a. Insert > or < to make a true sentence. 0 BIGGERsmaller -2-7

7. RMath 120 - KM7 ORDER for the Real Numbers 4b. Insert > or < to make a true sentence. 0 BIGGERsmaller 0-99

8. RMath 120 - KM8 ORDER for the Real Numbers 4c. Insert > or < to make a true sentence. 0 BIGGERsmaller 3/5 1/2

9. RMath 120 - KM9 Another Way to Write 5. Write a different inequality with the same meaning:

10. RMath 120 - KM10 TRUE or FALSE ? 6. Is the sentence TRUE or FALSE?

11. RMath 120 - KM11 Graphs on the Number Line 7. Graph each inequality: -2 3 4

12. RMath 120 - KM12 Absolute Value 8. Find the following :

13. RMath 120 - KM13 Additive Inverse or Opposite 9. Find the Opposite. The opposite of -13 is. The opposite of 0 is. 13 0 The opposite of 4 is.-4 The opposite of x is.-x The opposite of –x+3 is x – 3.

14. RMath 120 - KM14 Operations with Real Numbers 10. Add, Subtract, Multiply, or Divide, if possible.

15. RMath 120 - KM15 Exponential Notation 11. Evaluate (Rewrite without exponents.)

16. RMath 120 - KM16 Negative Exponents 12. Evaluate (Rewrite without exponents.)

17. RMath 120 - KM17 Order of Operations: PEMDAS 13. Simplify:

18. RMath 120 - KM18 Translating English into an Algebraic Expression 14. Translate the phrase into algebra. 5 more than the product of 3 and x or 2 less than the quotient of x and 7 The distance traveled by a bike going 30 miles per hour for t hours. D r t

19. RMath 120 - KM19 Evaluate an Algebraic Expression 16. Evaluate. when x = 4 when x = -2 and z = 3 -25 -15 when r = -1 and s = 4 0

20. RMath 120 - KM20 Equivalent Algebraic Expressions 17. a) Find an equivalent expression with a denomiator of 24x. b) Simplify.

21. RMath 120 - KM21 The Commutative Law 18.Use the Commutative Law to write an equivalent expression. a) b) c) or

22. RMath 120 - KM22 The Associative Law 19. Use the Associative Law to write an equivalent expression. b) a)

23. RMath 120 - KM23 The Distributive Law of Multiplication over Addition and Subtraction 20. Use the Distributive Law to write an equivalent expression. b) a)

24. RMath 120 - KM24 Factor (Rewrite as a Product) 21. Factor. b) a)

25. RMath 120 - KM25 Simplify 22. Simplify as much as possible. b) a) c) d)

26. RMath 120 - KM26 Properties of Exponents 23. Simplify as much as possible. b) a) c) d)

27. RMath 120 - KM27 Scientific Notation 24. Write in Scientific Notation. b) a)

28. RMath 120 - KM28 Scientific Notation 25. Simplify and then write the answer in Scientific Notation. b) a)

29. RMath 120 - KM29 “Gage” – Puppy In Training 26. Gage had 5 cookies and ate x of them. How may cookies does Gage Have left?

30. RMath 120 - KM30 That’s All For Now!