Review Quiz 3/26 1.) Add 3x + 2y and 5x - 4y 2.) Add x2 - 2x and 5x2 - 4x 3.) Add 2x2 - 5x and x2 +3x-7 Subtract 3a + b from 7a + 5b Subtract 5x2 + 3x from 7x2 -x + 5 • •
Review 3/26 8x - 2y 6x2 - 6x 1.) Add 3x + 2y and 5x - 4y 2.) Add x2 - 2x and 5x2 - 4x 6x2 - 6x 3.) Add 2x2 - 5x and x2 +3x-7 3x2 - 2x - 7 • •
Review 3/26 2x2 -4x + 5 Subtract 3a + b from 7a + 5b 4a + 4b Subtract 5x2 + 3x from 7x2 -x + 5 2x2 -4x + 5 • •
Objective To be able to use the FOIL method to expand two binomials •
Find the Area of each Rectangle Area = length • width Then find the total area 10 10 Now Consider: (10 + 10)(10 +5) (20)(15) 300 100 100 10 5 50 50 Total = 300 • •
(10 + 10)(10 + 5) 10 10 F O I L 100 100 10 5 50 50 10•10 + 10•5 + 10•10+10•5= 100 + 50 + 100 + 50 = 300 • •
Find the Area of each Rectangle Area = length • width x 3 (x + 3)(x +2) x2 +2x +3x + 6 x2 + 5x + 6 x^2 3x x 2 2x 6 FOIL=First,Outside,Inside,Last • •
Write an area model to show: Your Turn (x + 4)(x + 5) x 5 (x + 4)(x +5) x2 +5x +4x+ 20 x2 + 9x + 20 x^2 5x x 4 4x 20 FOIL=First,Outside,Inside,Last • •
Foil = First, Outside, Inside, Last Expand (2x + 3)(y + 5) First = 2x • y Outside = 2x • 5 Inside = 3 • y Last = 3 • 5 2xy + 10x + 3y + 15 • •
Foil = First, Outside, Inside, Last Expand (x + 3)(x - 5) x2 -5x + 3x - 15 L O I F x2 -2x - 15 • •
Foil = First, Outside, Inside, Last Expand (x + 3)2 (x +3)(x + 3) x2 +3x + 3x + 9 x2 +6x + 9 • •
Foil = First, Outside, Inside, Last Expand (x + 4)(x - 3) First = x2 Outside = -3x Inside = 4x Last = -12 x2 - 3x + 4x - 12 = x2 + x -12 Your Turn • •
Foil = First, Outside, Inside, Last Expand (x - 2)(x - 3) First = x2 Outside = -3x Inside = -2x Last = 6 x2 - 3x - 2x + 6 = x2 - 5x + 6 Your Turn • •
Distributive Property Expand (x - 2)(x2 +3x + 5) x3 + 3x2 + 5x -2x2 - 6x - 10 • •
Distributive Property Expand (x - 2)(x2 +3x + 5) x3 + 3x2 + 5x -2x2 - 6x - 10 • •
Distributive Property Expand (x - 2)(x2 +3x + 5) x3 + 3x2 + 5x -2x2 - 6x - 10 x3 + x2 + 5x - 6x - 10 x3 + x2 + - x - 10 • •
Classwork Homework Sec. 10-1, 10-2 Quiz Do Booklet Page 170 On a separate sheet of paper Right column only (8 – 24 even) Homework Sec. 10-1, 10-2 Quiz *****Take Home Quiz***** • •