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

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

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

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

5. 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 = or x + 2 = 0
x = or x = -2
Answer: x = {8,-2}

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

7. Homework
368/33-43 odd

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

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