Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

14 = (3a + 6) + 2

a=2

200

Solve for r

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

r=15

300

Solving Equations

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

x=11

400

Solving Equations

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

x = 8

500

Solve for b

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

b=-6

Always, Sometimes, Never

100

15x-2=15x+5

never

200

5x+4=-5x+14

Sometimes

300

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

sometimes

Bonus: x=35

400

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

Always

500

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

Never

Literal Equations (Solve for)

100

Solve for y

-3x+y=12

y=3x+12

200

Solve for n

-3m+n=9

n=3m+9

300

Solve for x

4x-3y=-7

x=3/4y-7/4

400

Solve for x

-3x+2y=18

x=2/3y+6

500

Solve for m

3m-7n=-4

m=(7n-4)/3

Know your steps

100

What is the 4 Basic Operations?

Add, Subtract, Multiply and Divide

200

What mathematical operations should happen first to solve this problem:

(x-12)/6=6

Multiplication

300

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

what step do you do first?

Distribution

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

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

Combining Like Terms