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Solving Equations
Distributing
Backtracking
Basic Moves
How Many Solutions?
100
2x+5=35
What is x = 15
100
3(x - 7)
What is 3x - 21
100
x + 7 = 10
What is subtract 7
100
3x = 15
What is x = 5
100
2 = 7
What is NO solution
200
7x = 5x +10
What is x = 5
200
3(5 - 2x)
What is 15 - 6x
200
3x + 2 = 5
What is subtract 2, divide by 3
200
x - 12 = 100
What is x = 112
200
x = 4
What is ONE solution
300
(6x + 4 ) + 8 = (17 - x ) - 5
What is x = 0
300
3(x + 3) + 5
What is 3x +14
300
-5x - 10 = 30
What is add 10, divide by -5
300
2/3x = 16
What is x = 24
300
0 = 0
What is many solutions
400
6x + 2= x +12
What is x = 2
400
- (x - 15) + 7
What is -x + 22
400
1/2x + 3 = 14
What is subtract 3, divide by 1/2 (or multiply by 2/1)
400
Describe on basic move you can use to transform the equation 3x - 17 = 20 into a. 3x-37 = 0 b. x - 17 = 20 -2x
What is a. add 20 b. add 2x
400
3x = 3x
What is many solutions
500
26 = 3(2x + 1) +5
What is x = 3
500
4(2x + 7) + 2x - 3
What is 10x + 25
500
4x + 7 = 11x
What is you cannot backtrack because it doesn't equal a number.
500
-2(x -15) + 5 = -15
What is x = 25
500
2x + 1 = 2x + 2
What is NO solution (0 = 1, or 1 = 2)