Review: 6.5d Mini-Quiz 1. Solve: 9x2 + 12x + 4 = 0

Objective: Students will solve quadratic equations by using multiple steps including expansion and FOIL.

Solving Quadratic Equations using multiple steps Chapter 6 – Factoring and Solving Equations Section 5e

Check your solutions 6x2 – 8x = 10 – 4x Solve 6x2 – 8x = 10 – 4x 6( 5 3 )( 5 3 ) – 8( 5 3 ) = 10 – 4( 5 3 ) –10 + 4x –10 + 4x 10 ( 5 3 ) – 40 3 = 10 – 20 3 6x2 – 4x – 10 = 0 50 3 – 40 3 = 30 3 – 20 3 2(3x2 – 2x – 5) = 0 2(3x2 – 2x – 5) = 0 2 2 10 3 = 10 3 TRUE 3x2 – 2x – 5 = 0 6(-1)2 – 8(-1) = 10 – 4(-1) (3x – 5)(x + 1) = 0 6(1) + 8 = 10 + 4 3x – 5 = 0 or x + 1 = 0 6 + 8 = 14 Answer: x = { 5 3 ,-1} 14 = 14 TRUE x = 5 3 or x = -1

Check your solutions (x – 5)(x – 1) = 21 (8 – 5)(8 – 1) = 21 3(7) = 21 Solve (x – 5)(x – 1) = 21 (8 – 5)(8 – 1) = 21 x2 – 1x – 5x + 5 = 21 3(7) = 21 x2 – 6x + 5 = 21 21 = 21 TRUE –21 –21 ( –2 – 5)(–2 – 1) = 21 x2 – 6x – 16 = 0 –7(–3) = 21 (x – 8)(x + 2) = 0 21 = 21 TRUE x – 8 = 0 or x + 2 = 0 x = 8 or x = -2 Answer: x = {8,-2}

Solve a. 6x2 – 24x = – 26x + 4 Solve b. (x – 7)(x – 2) = 36

Homework 368/33-43 odd

Lesson Summary: Objective: Students will solve quadratic equations by using multiple steps including expansion and FOIL.

Preview of the next Lesson: Objective: The students will solve quadratic equations by graphing and will check their solutions by solving them by factoring.