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Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Proof Properties
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
100
WHICH PROPERTY IS USED TO GET TO STEP TWO: 3x + 2 = 5 Given 3x = 3
Subtraction Property of Equality
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200
THIS PROPERTY IS SHOWN FROM STEP ONE TO TWO: 2 ( x - 1) = 5 GIVEN 2x - 2 = 5
Distributive Property
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
300
THIS PROPERTY IS SHOWN FROM STEP TWO TO THREE: 2 ( x - 1) + 1 = 5 GIVEN 2x - 2 + 1 = 5 2x - 1 = 5
Simplify OR Combine Like Terms
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
-6(m + 1) + 18 = 24
m = -2
400
THIS PROPERTY IS BELOW: 5y + 7 ; y = 2 GIVEN 5(2) + 7
Substitution
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
500
THIS PROPERTY IS SHOWN FROM STEP ONE TO TWO: 6 = x x = 6
Symmetric Property