1. The document shows the steps to solve a quadratic equation using algebra tiles. 2. It represents the equation x2 + 5x + 6 = 0 with algebra tiles, grouping like terms to write it as (x + 2)(x + 3) = 0. 3. It then solves for x by finding the two numbers whose product is zero, determining x = -2 or -3.

1. x 2 + 5x + 6 = 0

2. x 2 + 5x + 6 = 0
x 2
=0
x
x
1 1
x
1 1
x
1 1
x

3. x 2 + 5x + 6 = 0
x 2
=0
x
x
1 1
x
1 1
x
1 1
x
(x + 2)(x + 3) = 0

4. x 2 + 5x + 6 = 0
x 2
=0
x
x
1 1
x
1 1
x
1 1
x
(x + 2)(x + 3) = 0

5. x 2 + 5x + 6 = 0
x 2
=0
x
x
1 1
x
1 1
x
1 1
x
(x + 2)(x + 3) = 0

6. x 2 + 5x + 6 = 0
ALL
x 2
THE
=0
x
x
SAME 1 1
x
1 1
x
1 1
x
(x + 2)(x + 3) = 0

7. (x + 2)(x + 3) = 0

8. (x + 2)(x + 3) = 0

9. (x + 2)(x + 3) = 0
=0
•
What two numbers multiply to equal zero?

10. (x + 2)(x + 3) = 0
=0
•
What two numbers multiply to equal zero?
-------zero and any number-------

11. (x + 2)(x + 3) = 0
=0
•
What two numbers multiply to equal zero?
-------zero and any number-------
(x + 2)=0 or (x + 3)=0

12. (x + 2)(x + 3) = 0
=0
•
What two numbers multiply to equal zero?
-------zero and any number-------
(x + 2)=0 or (x + 3)=0
x = -2 or -3

13. x 2 + 5x + 6 = 0
1
SUMMARY
2
3
4

14. x 2 + 5x + 6 = 0
1
SUMMARY
x 2
x
x
2 1 1
x
1 1
x
1 1
x
3 (x + 2)(x + 3) = 0
4

15. x 2 + 5x + 6 = 0
1
SUMMARY
x 2
x
x
2 1 1
x
1 1
x
1 1
x
3 (x + 2)(x + 3) = 0
4 x = -2 or -3

16. 1. Draw as Algebra Tiles
2. Convert to Binomial Multiplication
3. Find x
You Try ONE
0= x2 + 7x + 6

17. ANSWER 0 = x2 + 7x + 6
x+1
(x + 1)(x + 6)=0
x 2
x (x + 1)=0
x+6
or
1
x
(x + 6)=0
1
x
1
x
x 1
x = -1 or -6
x 1
1
x

18. Independent Questions

19. Answer in the Google Form
Find x
1. x-4=0
2. x+9=0
3. x + 11 = 0
Next Page

20. Draw Algebra Tiles to Find x
4. (x + 4)(x - 5) = 0
5. (x + 9)(x - 3) = 0
6. (x + 11)(x - 1) = 0
Next Page

21. 7. What are the 4 steps
for solving a trinomial
equation?

22. Draw Algebra Tiles to Find x
2
8. x + 3x + 2 = 0
2
9. x + 4x + 4 = 0
Next Page

23. Draw Algebra Tiles to Find x
2
10. x - 3x + 2 = 0
2
11. x - 4x - 12 = 0
Next Page