Distribution
Like Terms
Basic Equations
Multi-Step Equations
Multi-Step
Equations
100
When you see a problem involving distribution which BINARY OPERATION should you think of?
Multiplication
100
What makes two terms "like terms"
-same variable -variable to the same exponent -constants
100
x + 2 = 12
x = 10
100
2x + 1 = 17
x = 4
100
3y - 4 = 17
y = 7
200
Distribute! 2(x + 3)
2x + 6
200
Combine like terms. 2x - 3 + 4x + 7 - 9
6x - 5
200
y - 3 = -12
y = -9
200
(x/-2) + 4 = 10
x = -12
200
-4x + 5 = 29
x = -6
300
Distribute! -2(x + 4)
-2x - 8
300
-4x - 8x + 3 + 2x
-10x + 3
300
-3t = 21
t = -7
300
3(y - 1) - 6 = 12
y = 7
300
2(x - 6) + 4 = 10
x = 9
400
(3x - 5)(-2)
-6x + 10
400
5y + 6x - 3 + 4y - 2x - 5 + 10
9y +4x + 2
400
w / 2 = -20
w = -40
400
3x + x - 8 = -24
x = -4
400
2x - 8x + 4 = -38
x = 7
500
Distribute! Then, combine like terms. 3(x - 8) + 2x - 12
5x - 36
500
12x + 10z - 9 + 12z - 4z + 10x - x + z - 12
21x + 19z - 21
500
x / - 4 = -3
x = -12
500
4(2x + 3) + 2x - 8 = 24
x = 2
500
-3(x + 4) + 10 - x = 50
x = -13
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