Linear Equations

2 step

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

2x+13=−8

x= -42

400

2x+5=10

x= 10

500

3x−6=−3

x= 9

vocab

100

A _____ is an unknown amount/quantity or value

A variable is an unknown amount/quantity or value.

200

___ ___ have the same variable. We combine these together

like terms

300

_________ are positive and negative whole numbers. Like -1, 0, 9, -4...

integers

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 four steps to solving multi-equations are 1. ___ 2. ___ 3.____ 4._____.

The four steps to solving multi-equations are 1. Distributive Property 2. Combine like terms (get the variable on one side) 3. Get the variables on one side. 4. Solve.

3 step

100

3(2x - 9) = 3

x = 5

200

3x + 4 + x + 2 = -30

x = -9

300

2 +9(x-1) = 2

x = 1

400

2(x + 3) + 1 = 31

x = 12

500

2x - 1 +2(x - 1) = - 7

x = -1

combining like terms and distributive property

100

6m – 5m + 1

m+1

200

-6(4x - 5)

-24x + 30

300

9 -3d(6 + 9)

9 - 45d 

or 

-45d + 9

400

4(5f + 3) + 11

 20f + 23

500

3(5x - 2) + 9x - 4

24x - 10

Substitution

100

Evaluate when x=8

4x - 2

30

200

Evaluate when m = 2

18/m + m

11

300

Evaluate when p = -5

p + 7 * 3

6

400

Evaluate when a = 3 and b = 4

a - 3b + 2

-7

500

Evaluate when x = 3

x² - 4x

-3