1 / 9

Chapter 13 Quadratic Relations and Functions

Corresponding Notes. Date Assigned. Assignment. #. Day 1 & 2. Solving Quadratic Equations. Friday 3/9. Page 507: 3 – 12 (all) 15 – 42 every 3 rd ( 1 st column). 1. Day 3 Notes Word Problems Consecutive ntegers. Monday 3/12. Worksheet: HW Day 3 Consecutive Integer. 2.

zeki
Télécharger la présentation

Chapter 13 Quadratic Relations and Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Corresponding Notes Date Assigned Assignment # Day 1 & 2 Solving Quadratic Equations Friday 3/9 Page 507: 3 – 12 (all) 15 – 42 every 3rd ( 1st column) 1 Day 3 Notes Word Problems Consecutive ntegers Monday 3/12 Worksheet: HW Day 3 Consecutive Integer 2 Day 4 Notes Geometric Word Problems Tuesday 3/13 Worksheet: HW Day 4 Geometric word problems 3 Day 5 Notes More Word Problems Wednesday 3/14 Worksheet: HW Day 5 More Geometric word problem 4 Day 6 Notes Graphing Quadratics Thursday 3/15 Worksheet: Parabolas 5 Chapter 13 Quadratic Relations and Functions

  2. Warm up: Factor x2 – 10x + 21

  3. Let x= integer, x + 1 , x +2 Let x= even, x + 2 , x +4 Let x= odd, x + 2 , x +4

  4. EXAMPLES: • When the square of a certain number is diminished by 9 times the number the result is 36. Find the number. • 2. A certain number added to its square is 30. Find the number. x2 – 9x = 36 x2 – 9x – 36=0 (x – 12)(x + 3) = 0 x – 12 = 0 x + 3 = 0 x = 12 x = -3 x2 + x = 30 (x – 5)(x + 6) = 0 x2 + x – 30=0 x – 5 = 0 x + 6 = 0 x = 5 x = -6

  5. The square of a number exceeds the number by 72. Find the number • 4. Find two positive numbers whose ratio is 2:3 and whose product is 600. x2 + x = 72 x2 + x – 72 = 0 (x – 8)(x + 9) = 0 x – 8 = 0 x + 9 = 0 x = 8 x = -9 6(x2 – 100 ) = 0 GCF 6(x + 10)(x – 10)=0 D2PS (2x)(3x) =600 Let 1st = 2x 2nd = 3x 6x2 = 600 6x2 – 600 = 0 x – 10 = 0 x + 10 = 0 x = 10 x = -10

  6. The product of two consecutive odd integers is 99. Find the integers. • 6. Find two consecutive positive integers such that the square of the first is decreased by 17 equals 4 times the second. x(x + 2) = 99 (x – 9)(x + 11) = 0 Let 1st = x 2nd = x + 2 x2 + 2x = 99 x2 + 2x - 99 = 0 x – 9 = 0 x + 11 = 0 x = 9 x = -11 Solution: 9,11 or -9,-11 x2 - 17 = 4(x + 1) Let 1st = x 2nd = x + 1 x2 – 17 = 4x + 4 -4x -4x (x – 7)(x + 3) = 0 x2 – 4x - 17 = 4 x – 7 = 0 x + 3 = 0 -4 -4 x = 7 x = -3 x2 – 4x - 21 = 0

  7. The ages of three family children can be expressed as consecutive integers. The square of the age of the youngest child is 4 more than eight times the age of the oldest child. Find the ages of the three children. • 8. Find three consecutive odd integers such that the square of the first increased the product of the other two is 224. x2 = 8(x + 2) + 4 Let youngest = x 2nd = x + 1 oldest = x + 2 x2 + (x + 2)(x + 4)= 224 Let 1st = x 2nd = x + 2 3rd = x + 4

More Related