unit 1: rational numbers test
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Unit 1: Rational Numbers Test
Wednesday September 26th
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
• 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
Terminology
• Power • Exponent • Base
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
Representing Algebraic Expressions
You try:
Check your understanding pg. 80 #1,2
Practising pg. 81 #3,4,5, 6
*the opposite of square is square root = x
Multiplying and Dividing Powers• Powers in expanded form
• When multiplying Powers, add the exponents
Multiplication Expanded Form Product as single power
( (2) x (2) =
( (2) x (2 x 2) =
( (2 x 2) x (2 x 2) =
( (2 x 2) x (2 x 2 x 2) =
( (2 x 2) x (2 x 2 x 2 x 2) =
• Dividing Powers
• When dividing powers, subtract the exponents
Division Expanded form Quotient, as single Power
Representing expressions involving powers
• Simplify
= = = = = 4
Write as a single power
= (
= (
= (
=
Simplify when x = 2, y = 3.
= = = =xy= (2)(3)= 6
You try:
Check your understanding pg.89 #1,2,3,4
Practising pg. 90 #5-9 (bc), 10, 11-12 (bc)
Power of a Power• Is a Power raised to an exponent• 2
• when expanding a power of a power, multiply the exponents
Power of a power Expanded form Single power
( (
( ((
Simplify , when x is 3, y is 4.
= = = = = = (2)(= (2)(8)(4)= 64
You try:
Check your understanding pg. 96 #1,2
Practising pg.96-97 #3-12 (ab)