1. Chapter 1 Section 1
Algebraic Expressions, Real Numbers, and Interval Notation

2. Vocabulary Variables – letters that represent various numbers
Constant – represents only one number
Algebraic Expression – combination of variables and numbers using math operations.

3. Algebraic Expression
Algebraic Expression: x + 6 3x + 5

4. English Words for the Basic Operations
Addition Sum Plus Increased by More than
Subtraction Difference Minus Decreased by Less than

5. English Words for the Basic Operations
Multiplication Product Times Twice Of
Division Quotient Divide Divide by

6. Evaluate Algebraic Expressions
a) If x = 5, evaluate: 8 + 6x b) If x = 9, evaluate:

7. Order of Operations Parentheses – fractions Exponents
Multiplication, Division from LEFT to RIGHT
Addition, Subtraction from LEFT to RIGHT

8. Try
4 + 3 • 2
18 – 2 + 3
2 •

9. Simplify
1a) 16 ÷ 4 • 2 – 16 ÷ 8 2a) 8 – 2 • 3 - 4

10. Answers
1a) 6 2a) - 2

12. Number systems Real Imaginary Natural - Counting
Whole { 0, 1, 2, . . .}
Integers { , 0 , 1, . . .}
Rational { fractions}
Irrational
Imaginary

13. Symbol
Is an element of:
Is not an element of:

14. Example

15. True/False
-5 < -3
-9 ≥ 6 3

16. Answers
True
False

17. Number line
Origin
Positive, negative
Graph – on the line

18. Set Notation Interval Set builder Roster Infinite, finite sets
[a, b], (a, b]
{x | x > 4 }
{5, 6, 7, 8, }

19. Express in set-builder notation
(1, 6]
[- 4, 3]
(3, )

20. Answers
{x| -1< x ≤ 6}
{x | - 4 ≤ x ≤ 3}
{x| x > 3 }

21. Graph the following
( -1, 4]
{x | -1 < x ≤ 4 }
(- 4, )