1. Algebra 2 Chapter 1

2. Section 1.1 Expressions and Formulas

3. Review of Key Vocabulary Variables: Algebraic Expressions: Monomial: Constants: Symbols (letters) used to represent unknown quantities. Expressions that contain at least one variable. An algebraic expression that is a number, variable, or product of a number and one or more variables. Monomials that contain no variables. Coefficient: The numerical factor of a monomial.

4. Review of Key Vocabulary Degree: Power: Polynomial: Terms: (of a monomial) is the sum of the exponents of its variables. An expression in the form of x n. The word is also used to refer to the exponent itself. A monomial or a sum of monomials. (of a polynomial) the monomials that make up a polynomial. Like Terms: Monomials that can be combined. The have the same variables to the same powers.

5. Review of Key Vocabulary Trinomial: Binomal: Formula: A polynomial that has three unlike terms. A polynomial that has two unlike terms. A mathematical sentence that expresses the relationship between certain quantities.

7. Practice Problems – Evaluating Expressions

8. Practice Problems – Using Formulas 1. p = $1,800, r = 6%, t = 4 years2. p = $31,000, r = 2 ½ %, t = 18 months

9. Section 1.2 Properties of Real Numbers

11. R = Reals I = Irrationals W = Wholes Q = Rationals Z = Integers N = Naturals

12. Practice – Sets of Numbers

13. Properties of Real Numbers PropertyAdditionMultiplication Commutative Associative Identity Inverse Distributive

14. Practice – Properties of Real Numbers

15. Practice – Simplifying Expressions

16. Section 1.3 Solving Equations

17. Key Vocabulary Open Sentence: Equation: Solution: A mathematical sentence containing one or more variables. A mathematical sentence stating two mathematical expressions are equal. (of an open sentence) Each replacement of a number for a variable in an open sentence that results in a true sentence.

18. Properties of Equality PropertySymbolsExamples ReflexiveFor any real number a, a = a Symmetric For all real numbers, a and b, if a = b, then b = a Transitive For all real numbers a, b, and c, if a = b and b = c, then a = c. Substitution If a = b, then a may be replaced by b and b may be replaced by a.

19. Practice – Algebraic to Verbal Sentence

20. Practice – Properties of Equality

21. Tips to Remember When Solving Equations… Goal of solving an equation: Get the variable alone on one side of the equation and everything else on the other side. What you do to one side of the equation, you MUST do to the other side. Checking solutions to discover possible errors is a vital procedure when you use math on the job. Use reverse-PEMDAS when solving multi-step equations.

22. Practice – Solving Equations

26. Section 1.5 Solving Inequalities

27. Trichotomy Property Adding the same number to, or subtracting the same number from, each side of an inequality does NOT change the truth of the inequality.

28. Properties of Inequality Addition Property of Inequality WordsExample Subtraction Property of Inequality WordsExample

29. Practice – Solve an Inequality Using Addition

30. Multiplication Property of Inequality WordsExamples For any real numbers, a, b, and c, where: c is positive: c is negative:

31. Division Property of Inequality WordsExamples For any real numbers, a, b, and c, where: c is positive: c is negative:

32. Set-builder Notation

33. Practice – Solve an Inequality Using Multiplication

34. Solve a Multi-Step Inequality