Solving by Combining Like Terms
Solving by Using the Distributive Property
Just Combine Like Terms
Grab Bag
Real Number System and Properties
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
If I add zero and get the same numeric value, what property did I use?
Identity Property of Addition
100
List all categories that zero falls in: Choices: Rational, Irrational, Integer, Whole, Natural
WInter: Whole, Integer, Rational
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
-8 = x + 3x
x = -2
200
What categories does -0.35 NOT belong in? Choices: Rational, Irrational, Integer, Whole, Natural
Not in Irrational, Integer, Whole or Natural
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4y - 10 = 6y - 22
y = 6
300
What property is the following: 5x + 20 = 5(x + 4)
Distributive Property
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4) + 10 - 3b
-5b + 14
400
If I took $35.50 to Washington, D.C. and bought a t-shirt for $15.00 and then bought 2 magnets. If I had no money left, how much was each magnet?
$10.25
400
Step #1: 20 + 2x - 8 = 12 Step #2: 2x + 20 - 8 = 12 What property was used from Step #1 to Step #2
Commutative Property of Addition
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
Step #1: 1/2x = 10 Step #2: Multiply both sides by 2 over 1 What property is this?
Multiplicative Inverse Property
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