Definitions & Rules
Distributive Property
Combining Like Terms
Two-Step Equation
Multi-Step Equation
100
I share my number on the outside, by multiplying, with all the numbers on the inside of the parentheses.
distributive property
100
2a(b + 2x) = 2ab + 4ax
True/False
True
100
Are like terms?
4g ____ 4h
No
100
What operation do you do first, then second?
3x - 2 = -17
First: Add 2 to both sides
Second: Divide 3 by both sides
100
What is the first step to solving multi-step equations
Apply Distributive Property
200
There are two operations to solve for the unknown. I add or subtract before I multiply or divide.
Two-Step Equations
200
4(8n + 2) = 32n + 2
True/False
False
200
n + 9 - 3 - 6n
-5n + 6
200
2x + 7 = 13
x = 3
200
What is the best first step to solve this equation?
-4 + 3x = 12
Add 4 to both sides
300
The variable and exponent has to be the same before I can add or subtract the like terms
Combining like terms
300
(7 + 19b)(-17) = -10 - 36b
True/False
False
300
-2 + 3z2 - 1- z2
2z2 -3
300
m = 10
300
-8(w - 6) = 32
w = 2
400
The are multiple operations used to solve for the unknown.
Multi-Step Equations
400
22 - 5(6v - 1) = -63
22 - 30v + 5 = -63
400
a + 3b + 3c - c + 2a + 4b
3a + 7b + 2c
400
42 + 5t = 8t
t = 14
400
2 + 3(2x + 4) = 8
x = -1
500
To solve I will use the following steps. Distributive property, combine like terms, and inverse operations
Multi-Step Equations
500
2(6x - 4) = 3(6x + 2)
12x - 8 = 18x + 6
500
4(9n + 6) + 3n
Distribute then combine like terms
36n + 24 + 3n
39n + 24
500
n = 39
500
-15 = 5a +12- 2a + 6
a = -11