Solving Multi-Step Equations

Definition & Steps

100

What is another word for variable and give an example? 

Letter (any letter in the alphabet)

200

What is another word for inverse and how do we remove multiplication in mathematics? 

Opposite and by doing division

300

In your own words, explain the steps to solve two-step equations. 

1.) Remove addition and subtraction first by doing the inverse. 

2.) Remove multiplication or division next by doing the inverse. 

400

The distributive property uses what operation?

Multiplication

500

What do you call a number that stands alone?

EX: 4x - 9 = 31

Constants

One-Step Equation

100

x + 4 = 12

x = 8

200

x - 3 = -6

x = -3 

300

-4 = f/-3

f = 12

400

-12 = -4a

a = 3

500

f - (-15) = -5

f = -20

Two-Step Equation

100

12b + 4 = 28

b = 2

200

5n + 2 = -38

n = -8

300

-2y - 7 = -3

y = -2

400

y/-4 + 3 = 12

y = -36

500

3x - 12 = 24

x = 12

Distributive Property

100

5 (x + 2) 

5x + 10

200

-6(9 - 9v)

-54 + 54v

300

5x + 3(x + 4) = 28

x = 2

400

-4(y + 3) - 2y = 24

y = -6

500

5(-3p + 7) -5(p - 1) = -60

p = 5

Random

100

What do we call the number that is multiplied by a variable?

EX: 3x

Coefficient

200

2 + -44 = ???? 

-42

300

Mr. Holman works part-time as a tutor in his free time. To sign up, he charges a one time $30 registration fee plus $10 per hour during each session. Kyra wants to know how many hours can she get tutored if she brings $60 for her first session?

3 hours

400

15 -72 + (-30) + 10 

-77

500

Sing a line from your favorite song.