Review multi-step equations

Vocabulary

100

A _____ is an unknown amount/quantity or value.

What is a variable?

200

___ ___ have the same variable, or no variable at all.

What are like terms?

300

_____ means to put together; add

What is combine?

400

a rule in math that is the first step to follow when solving multi-step equations

The Distributive Property is a rule in math that is the first step to follow when solving multi-step equations

500

The three (or 5) steps to solving multi-equations are ...

1. Distribute
2. Combine like terms (Combine like terms on each side, get the variables on one side and constants on the other)
3. Solve (multiply or divide)

1-2 step equations

100

-7m = 63

-7m = 63 m=-9

200

56/n=-8

n=-7

300

-2k-4=8

k=-6

400

h/-3 + 6 = -4

h=30

500

(h-9)/5=-10

h=-41

combining like terms

100

6m – 5m + 1

m+1

200

-6x(4-5)

-24x+30x = 6x

300

9-3d(6+9)

9-18d-27d
= 9-45d

400

-4(-5f-3) +11 - 2f

-4(-5f-3) +11 - 2f
20f+12+11-2f
18f+23

500

g-4m+2(m-3)+6-2g

g-4m+2(m-3)+6-2g
g-4m+2m-6+6-2g
-g-2m

3 to multi-step equations

100

3m-1=m+5

3m-1=m+5
2m=6
m=3

200

-5-3x=2x+10

x=-3

300

4n-40=7(-2n+2)

4n-40=7(-2n+2) n=3

400

38+7k=8(k+4)

k=6

500

4(-8m+5)=-32m-26

4(-8m+5)=-32m-26 m=4