One-Step Equations
Two-Step Equations
Multi-Step Equations
Always, Sometimes, Never
Literal Equations (Solve for)
Know your steps
100

4 = -8 + x

x= 12

100

6x – 13 = 11

x= 4

100

Solving Equations

14 = (3a + 6) + 2

a=2

100

15x-2=15x+5

never

100

Solve for y

-3x+y=12

y=3x+12

100

What is the 4 Basic Operations?

Add, Subtract, Multiply and Divide

200

x + 12 = 0

x= -12

200

3x + 5 = 14

x= 3

200

Solve for r

`(7r-7)-(-3r-2)=15r-80`

r=15

200
5x+4=-5x+14

Sometimes

200

Solve for n

`-3m+n=9`

n=3m+9

200

What mathematical operations should happen first to solve this problem:


`(x-12)/6=6`

Multiplication

300

3 = -2 – x

x= -5

300

`x/2 + 13 =-8`

x= -42

300

Solving Equations

`9(x+6)+5=11(x+3)+4`

x=11
300

`4(x-7)-4=3(x+1)`

sometimes


Bonus: x=35

300

Solve for x

`4x-3y=-7`

`x=3/4y-7/4`

300

When solving something like 3(x -2) = 12

what step do you do first?

Distribution

400

5x = -80

x= -16

400

`x/2 + 5 =10`

x= 10

400

Solving Equations

`7/8x-5=1/8x=1`

x = 8

400

`3(5x+6)+8=15x+26`

Always

400

Solve for x


-3x+2y=18

`x=2/3y+6`

400

Describe one way to solve this equation:

`1/6x-2/3=5`

1) Least common denominator, then solve by adding the constant and dividing by the coefficient on x.

2) Add the constant to the right, and divide by the coefficient on x

3) Add the constant to the right and multiply by 6.

500

-16 = x+2

x= -18

500

`x/3 - 6 = -3`

x= 9

500

Solve for b

`3(-3b-2)=-(-15b-138)`

b=-6

500

`2(3x+2)+4(4x+6)+6=22x+35`

Never

500

Solve for m

`3m-7n=-4`

`m=(7n-4)/3`

500

When solving something like (x-2)-2(-x-5)=9-15 what step do you do second?

Combining Like Terms