Solving by Combining Like Terms
Solving by Using the Distributive Property
Solve & Find the mistake!
Equation Grab Bag
Vocab
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

100

You cannot combine like terms on different sides!

You have to 'move' the variable to one side to the other by the opposite operation


7 = 13 + r  **OR**  -r+7=13

100
4x + 9 = 33
x = 6
100

What is the variable of the following equations?


5w+3=9

w is the letter

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200

200

1x - 5x = -4x


27= - 4x+3  **OR** 27 = 3 - 4x

200
x + 3x = -8
x = -2
200

What is the constant term of this equation?


5x+3=7


3 is the 'plain number'

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

300

Distribute means to multiply everything in the parentheses 


-3x-6 = 6

300
4(y - 2) + y = -13
y = -1
300

What is the coefficient of the following equation?


9a+7=22



9 is the number with the variable

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400

400

You can't combine terms on different sides of the equal sign! 

You have to move the variables to one side using the opposite operation


-3 = 14 + 17r      **OR**    -3 - 17r = 14

400
-6(m + 1) + 18 = 24
m = -2
400

What is the difference between an equation and expression?

Equations have equal signs


Expressions do not have equal signs

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500

500

You only multiply to the numbers inside the parentheses 

-6x-18= 24 
500
7k - 8 + 2(k + 12) = 52
k = 4
500
What is the 'end goal' of solving equations?

To get the variable alone!

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