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Warm-Up
Oct. 9
• Solve the following equations if possible.
• Determine whether each always, sometimes or never has
solutions.
• Also identify which of the following equations represents an
identity.
1. 2x + 3 = 7
2. (x – 2)(x + 2) = x2 – 4
3. 2x + 4 = 2(x + 3)
4. (x +3)(x + 2) = x2 – 8
Formative Assessment Lesson:
Sorting Equations and Identities
2
(x+2)(x-2)=x +4
2
(x+2)(x+2)=x +4x+4
Worksheet Practice
Sometimes, Always, Never True
2
•x
+ 12 = 24
If true when x=?
Sometimes, Always, Never True
2
•x
+ 12 = (x-5)(x+4)
If true when x=?
Sometimes, Always, Never True
2
•x
+ 12 = 2
If true when x=?
Sometimes, Always, Never True
•2(3x+12)=6x+24
If true when x=?
Sometimes, Always, Never True
•3(x+4)=3x-5
If true when x=?
Sometimes, Always, Never True
2
2
•(x-4) =x -8x+16
If true when x=?
Sometimes, Always, Never True
•3(x+4)+6(x-2)=4x-5
If true when x=?
Sometimes, Always, Never True
•5x-12=4x-5
If true when x=?
Create an equation that has infinitely many
solutions (always true).
Create an equation that has no solution
(never true).
Create an equation that has 2 solutions
(sometimes true).
Create an equation that has 1 solution
(sometimes true).