Justifications
For the equation x+2=4 a student subtracts two on both sides. What is the property that makes this true?
Ex: x+2=4
-2 -2 ?
x= 2
What is subtraction property of Equality?
Combine Like terms:
5a + 2b - 3a + 4
What is 2a+2b+4?
Distribute
2(2 + 6w)
What is 12w+4?
What is 2(x-4)=3(-x+2) distributed/simplified?
What is 2x-8=-3x+6?
What TYPE of equation is the following:
2x+2=2x+2
What is Infinite/Many solution?
To find 2x=4 what property can be used to find out what x equals?
What is Division property of equality?
Combine like terms:
2(4 + 9w)+2
What is 18w+10?
What is 3(4x-2)+2 distributed/simplified?
What is 12x-4?
What is 5(x-2)+4=4(x-2) distributed/simplified?
What is 5x-6=4x-8?
What TYPE of equation is the following:
3x+2=3x+5
What is No Solution?
For the following a student use the subtraction property of equality when they should of used which?
ex: 2x-2=5
-2 -2 ?
What is Addition property of equality?
Solve
x -1 = - 5x + 5
What is x=1?
solve
2(2 + 6w)=40
What is w=3?
Solve
2(x-4)=3(-x+2)
What is x=14/5
What TYPE of equation is the following:
4x+6=2(2x+3)
What is Infinite/many solutions?
What property needs to be used for the following step?
Ex: 2x-4=3x-6
-2x -2x
-4=x-6
? ?
What is Addition property of equality?
Solve
2x-3+1=4x+8
What is x=-5?
Solve
3(4x-2)+2=20
What is x=2?
Solve
5(x-2)+4=4(x-2)
x=?
What is x=-2?
What TYPE of question is the following:
-3(2x+1)=2(-3x+2)
What is No solution?
What property do we use for the next step of the following:
4x=8
? ?
x=2
What is Division Property of equality?
Simplify and solve:
1x+3x+2+4=2x+2
What is x=-2?
4(x+3)-10=26
What is x=6?
Solve
4(2x-1)+4=2(x-2)-2
What is x=-1?
What TYPE of solution is the following:
4(2x+1)=2(4x+1)+2
What is Infinite/many solutions?