Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Solve & Find the mistake!

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

200

200

1x - 5x = -4x

27= - 4x+3  **OR** 27 = 3 - 4x

300

300

Distribute means to multiply everything in the parentheses 

-3x-6 = 6

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

500

500

You only multiply to the numbers inside the parentheses 

-6x-18= 24 

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Vocab

100

What is the variable of the following equations?

5w+3=9

w is the letter

200

What is the constant term of this equation?

5x+3=7

3 is the 'plain number'

300

What is the coefficient of the following equation?

9a+7=22

9 is the number with the variable

400

What is the difference between an equation and expression?

Equations have equal signs

Expressions do not have equal signs

500

What is the 'end goal' of solving equations?

To get the variable alone!