1. EXTENDED ALGEBRA TOPICS DAY 1 MATH 7

2. CHAPTER OVERVIEW  In this chapter we will build on the algebra topics that we have already learned.  Topics we have already discussed:  Translating Verbal Expressions to Algebra Expressions  Solving One and Two Step Equations (with and without negatives)

3. Terms of an Expression  The terms of an algebraic expression are the individual pieces of that expression  Example: 3x + 2  3x and 2 are both individual terms of the expression  How many terms does this expression have?

4. POLYNOMIALS  A polynomial is an algebraic expression that contains one or more terms.  Example: 7x + 9, 5x – 12, 3x 2 – 2x + 9, 12x, 15x, 13x – 11 12x, 15x, 13x – 11 These are all polynomials.

5. SPECIFIC TYPES OF POLYNOMIALS  Monomial – a polynomial that has only one termex. 4x, -9x, etc.  Binomial – a polynomial that has exactly two termsex. 3x – 9, -5x + 6 etc.  Trinomial – a polynomial that has exactly three termsex. 2x 2 + 6x + 3

6. ADDING AND SUBTRACTING MONOMIALS  Two or more monomials of the same variable can be combined into one monomial by addition or subtraction.  Follow the same rules for normal addition or subtraction (watch out for negatives)  Ex. 3x + 12x = 15x

7. MORE EXAMPLES  7x – 3x ___  12x + 11x ___  9x + (-2x) ___  -11x – 5x ___  9x – 13x ___  5x + 7x – 4x ___  -6x + 4x – 8x ___

8. HOMEWORK  Complete the Worksheet (Extended Algebra – Polynomials)