1. FOLDABLE Solving Systems of Equations By Mrs Math
* This foldable takes a while so not do it all in one class period. The students will burn out halfway through it. So break it up into two or three class periods.

2. Materials needed (per student) Construction paper or cardstock Graph Sheet (Slide 22) Ruler Scissors 2 or 3 markers

3. Construction Paper
Fold

4. INSIDE
 Draw
 Draw
Fold

5. INSIDE
 Cut
 Cut
Stop at Fold

6. Graph Paper
 Cut
 Cut
Fold
 Cut
 Cut

7. On top is construction paper
Graph
sheet is
inside
FOLD
Staple
Staple
Staple
FOLD

8. FRONT No Solutions Infinite Solutions 1 solution (x, y) Staple Staple

9. { { { Inside TOP Solve by graphing: Solve by graphing:
y = -1/3x + 3
y = 2x – 4
y = -4/3x + 5
y = -4/3x
y = 3x – 1
Bottom

10. { LEFT Top y = -1/3x + 3 y = 2x – 4 Bottom Solve by graphing:
Solution: (3, 2)

11. { MIDDLE Top y = -4/3x + 5 y = -4/3x Bottom Solve by graphing:
No Solution

12. Solve by graphing: {
Top
y = 3x – 1
RIGHT
Bottom
Infinite Solutions

13. { { { Inside TOP Fold Inside Bottom Solve by substitution:
-5x + 5y = -5
x = -y + 5
2x – 4y = 1
x = 2y + 3
4x – 2y = -10
y = 2x + 5
Fold
Inside Bottom

14. Solve by substitution:
Top {
-5x + 5y = -5
x = -y + 5
LEFT
Fold
-5(-y + 5) + 5y = -5 5y
– 25
+ 5y
= -5
Bottom
10y
– 25 = -5
+25
+25
10y
= 20 10 10
y = 2
x = -y + 5
x = -(2) + 5
Solution:
(3, 2)
x, y
x =
x = 3

15. Solve by substitution:{
Top
2x – 4y = 1
x = 2y + 3
MIDDLE
Fold
2(2y + 3) – 4y = 1
Bottom 4y
+ 6
– 4y
= 1 0y
+ 6 = 1 6
= 1
Is this a true? NO
No Solutions

16. Solve by substitution:{
Top
RIGHT
4x – 2y = -10
y = 2x + 5
Fold
4x – 2(2x + 5) = -10
Bottom 4x
– 4x
– 10
= -10 0x
– 10 = -10
-10
= -10
Is this a true?
YES
Infinite Solutions

17. { { { Inside TOP Fold Inside Bottom 5x + 2y = 12 -5x + 4y = -66
Solve by Elimination:
Solve by Elimination:
Solve by Elimination: { {
5x + 2y = 12
-5x + 4y = -66 {
3x – 5y = x + 15y = 13
2x – 4y = 6
-3x + 6y = -9
Fold
Inside Bottom

18. { LEFT Top Bottom 5x + 2y = 12 -5x + 4y = -66 + Fold 6y = -54 6 6
Solve by Elimination:
Top {
5x + 2y = 12
LEFT
-5x + 4y = -66 +
Fold 6y
= -54
Bottom 6 6
y = -9
5x + 2y = 12
5x + 2(-9) = 12
5x - 18 = 12
+18
+18 5x
= 30
Solution:
(6, -9) 5 5
x, y
x = 6

19. { MIDDLE Top Bottom ( ) 3 3x – 5y = -6 -9x + 15y = 13 Fold 9x – 15y
Solve by Elimination:
Top {
MIDDLE
( ) 3
3x – 5y = x + 15y = 13
Fold 9x
– 15y
= -18
Bottom +
-9x + 15y = 13
= -5
Is this true?
No!
No Solutions

20. { RIGHT Top Bottom ( )3 2x – 4y = 6 -3x + 6y = -9 ( )2 Fold 6x – 12y
Solve by Elimination:
Top {
RIGHT
( )3
2x – 4y = 6
-3x + 6y = -9
( )2
Fold 6x
– 12y
= 18
Bottom +
-6x
+ 12y
= -18
= 0
Is this true?
Yes!
Infinite Solutions

21. Back SIDE
F OL D
NAME
Period Date
Subject

23. Helpful Information About Foldables
Once the foldable is done you must have the students USE it on a follow-up activity such as a short quiz, BINGO game, or on a set of guided practice problems or students will NEVER use it.
For grading purposes have students paper punch foldables to keep in their binder, put in their portfolio, or to hand in for a note-check.
When making foldables its best to hand students just 2 or 3 different colored markers to make color changes to emphasize words or concepts but not so many that they get distracted.
Always have at least one or two foldables cut out and ready for students who make mistakes.
If a student is absent the day of the foldable then just print out the relevant Powerpoint slides for them to include in their notebook. (SLIDES 10 – 12, SLIDES 14 – 16, and SLIDES )