1. Methods to Solving the Quadratic Equation Foldable
Create a foldable!
It will help you and give you extra points. 5 points towards a quiz or a hw grade.
Created for you by
Ms.Nhotsoubanh

2. Materials you will need…
Construction Paper (soft colors) or computer paper
Scissors
Markers (2 to 3 Dark colors)
Pen or Pencil
ruler

3. Directions:
Lay your paper horizontally so that we are folding the paper in half.
We want the largest viewing area as possible.
Fold your paper in half, vertically down the middle (taco style).
Fold both ends of the paper inward so that they meet at the center crease.

4. Do the same for the other side.
Methods to solving Quadratic Equations
scrap
Fold bottom of page to the red line
Fold bottom of page to the red line
Using a ruler, measure approximately one inches from the top and mark it.
Do the same for the other side.
Using one of your markers, write “Methods to Solving Quadratic Equations” in the top as your heading.
Fold the bottom of the paper to the bottom of the heading to create the cease for the flaps.
Using your scissors, cut to the first crease. DO NOT CUT ALL THE WAY. (cut along the red lines)
The foldable should start taking form.

5. Sections
Close the flaps so that you can see the front of your cover; you should see 4 individual parts.
Using a marker, label each part as follows:
Grouping
X-Box
Quadratic Formula
Square Root Principle
Methods to Solving
Quadratic Equations
Square Root Principle
Quadratic Formula
X-Box
Grouping

6. THIS IS HOW YOUR FOLDABLE WILL LOOK INSIDE WHEN IT IS COMPLETED
cut in half
Methods to solving
Quadratic Equations
By Grouping:
By the Quadratic Formula:
Example 3
By x-Box:
By Square Root Principle:
Example 4
Your turn
Example 1
Example 2
Cut the orange dotted lines

7. By Grouping: Upper left flap of foldable a(c) b Example 1: Solve:
Factors of a(c) that will give you b
Standard form for a quadratic equation is ax2 + bx + c = 0
Example 1: Solve:
5x2 + 7x – 6 = 0
-30 7 b
a(c) -3 10
Your turn: Solve:
3x2 – 12x – 15 = 0
1st term
last term
( )
5x – 6 = 0
– 3x
+ 10x
( ) x 2
Factor out gcf for each binomial
x(5x – 3) + 2(5x – 3) = 0
(x + 2) (5x – 3) = 0
x + 2 = 0
5x – 3 = 0
Solve for x
5x = 3
x =
x = -2
x = { -2, }

8. By x-Box Upper right flap of foldable
Standard form for a quadratic equation is ax2 + bx + c = 0
Example 2: Solve:
5x2 + 7x – 6 = 0
-30 7 b
a(c) -3 10
Your turn: Solve:
3x2 – 12x – 15 = 0 x +2
1st Term
Factor
Place the factors: 10 & -3 in the box and add an x to each 5x
5x2
+10x
Factor
Last term
Then factor out the gcf for the binomials of each row -3
-3x -6
(x + 2) (5x – 3) = 0
Solve for x
x + 2 = 0
5x – 3 = 0
5x = 3
x =
x = -2
x = { -2, }

9. By the Quadratic Formula
lower left flap of foldable
By the Quadratic Formula
Standard form for a quadratic equation is ax2 + bx + c = 0
Example 3: Solve:
5x2 + 7x – 6 = 0
Your turn: Solve:
3x2 – 12x – 15 = 0
a = _____
b = _____
c = ___ 5 7 -6
Steps:
1. Define a, b, and c.
2. Write the quadratic formula.
3. Substitute the given values into the formula.
4. Solve for x. (you should have 2 answers)
x = { -2, }

10. By the Square Root Principle
Lower right flap of foldable
By the Square Root Principle
Standard form for a quadratic equation is ax2 + bx + c = 0
Example 4: Solve:
2x2 – 32 = 0
Here is the exception, when there is no “b”, you get: ax2 + c = 0
Steps:
Your turn: 3x2 – 27 = 0
2x2 – 32 = 0
1.Isolate the x2 term.
2x2 = 32
2. Take the square root of both sides (that gets rid of the “square”, just like when solving radical equations)
x2 = 16
3. Solve for x. (you should have 2 answers)