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Unit 1: Rational Numbers Test

Unit 1: Rational Numbers Test. Wednesday September 26 th. Unit 2: Powers and Polynomials. Goals: - Represent polynomials geometrically - Simplify polynomial expressions using exponent laws - Add and subtract polynomials - Multiply a polynomial by a monomial . Terminology.

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Unit 1: Rational Numbers Test

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  1. Unit 1: Rational Numbers Test Wednesday September 26th

  2. Unit 2: Powers and Polynomials Goals: - Represent polynomials geometrically - Simplify polynomial expressions using exponent laws - Add and subtract polynomials - Multiply a polynomial by a monomial

  3. Terminology • Algebraic expression - a mathematical phrase made up of numbers and variables, connected by + or - • Variable - a quantity whose value can change, a letter • Constant • Coefficient - Factor the variable is multiplied by

  4. Terminology • Power • Exponent • Base

  5. Representing Powers • Term – part of an algebraic expression, separated by addition or subtraction • Degree of a term – is the sum of the exponents on the variables has degree 4

  6. Representing Algebraic Expressions

  7. You try: Check your understanding pg. 80 #1,2 Practising pg. 81 #3,4,5, 6 *the opposite of square is square root = x

  8. Multiplying and Dividing Powers • Powers in expanded form • When multiplying Powers, add the exponents

  9. Dividing Powers • When dividing powers, subtract the exponents

  10. Representing expressions involving powers • Simplify = = = = = 4

  11. Write as a single power = ( = ( = ( =

  12. Simplify when x = 2, y = 3. = = = =xy = (2)(3) = 6

  13. You try: Check your understanding pg.89 #1,2,3,4 Practising pg. 90 #5-9 (bc), 10, 11-12 (bc)

  14. Power of a Power • Is a Power raised to an exponent • 2 • when expanding a power of a power, multiply the exponents

  15. Simplify , when x is 3, y is 4. = = = = = = (2)( = (2)(8)(4) = 64

  16. You try: Check your understanding pg. 96 #1,2 Practising pg.96-97 #3-12 (ab)

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