Review: 6.5f Mini-Quiz 1. Solve: Verify by factoring. 2. Solve by Graphing: y = x 2 – 4x. Verify by factoring.

Objective: Students will solve word problems involving quadratic equations.

Solving word problems involving Quadratic Equations Chapter 6 – Factoring and Solving Equations Section 5g

Find 2 consecutive positive integers whose product is 240. Let n = the 1 st consecutive positive integer. Write an equation. n – 15 = 0 or n + 16 = 0 n = {15} MUST BE POSITIVE CHECK YOUR ANSWER Then, n + 1 would be the 2nd consecutive positive integer. n(n + 1) = 240 n 2 + n = 240 n 2 + n – 240 = 0 Solve the equation. Factor the equation. n = {–16, 15} (n – 15)(n + 16) = 0 Answer: The 2 consecutive positive integers are 15 and 16.

CHECK n(n + 1) = 240 if n = {15} 15(15 + 1) = (16) = = 240 TRUE

Find 2 consecutive positive odd integers whose product is 323. Let n = the 1 st consecutive positive odd integer. Write an equation. n – 17 = 0 or n + 19 = 0 n = {–19, 17} CHECK YOUR ANSWER Then, n + 2 would be the 2nd consecutive positive odd integer. n(n + 2) = 323 n 2 + 2n = 323 n 2 + 2n – 323 = 0 Solve the equation. Factor the equation. (n – 17)(n + 19) = 0 n = {17} MUST BE POSITIVE Answer: The 2 consecutive positive odd integers are 17 and 19.

CHECK n(n + 2) = 323 if n = {17} 17(17 + 2) = (19) = = 323 TRUE

Homework 368/53and 55

Lesson Summary: Objective: Students will solve word problems involving quadratic equations.

Preview of the next Lesson: Objective: Students will solve real world word problems involving quadratic equations.