Multi-Step Equations

One-Step Equations

100

8m = 24

What is m?

8m = 24

m = 3

200

 11 + r = 29

What is r?

r + 11 = 29

r = 18

300

7h = 21

What is the value of h?

7h = 21

h = 3

400

a/9 =-3

What is the value of a?

a/9 = -3

a = -27

500

x - 4.3 = 5.7

What is the value of x?

x - 4.3 = 5.7

x = 10

2-Step Equations

100

2x + 3 =19

x = 8

200

-3k - 1 = -13

k = 4

300

-5m - 2 = -47

m = 9

400

-7b - 9 = 12

b= -3

500

0.5h - 7 = -9.5

h = -5

Multi-Step Equations

100

-3m - 2m = 15

What is m?

-3m - 2m = 15

-5m = 15

m = -3

200

-10p + 9p = 12

Solve for p

-10p + 9p = 12

-1p = 12

p = -12

300

-3a + 12 -6a = -9

What is the value of a?

-3a + 11 -7a = -9

-10a + 11 = -9

-10a = -20 

a = 2

400

(a + 3)/6 = -2

Find the value of a.

(a + 3)/6 = -2

a + 3 = -12

a = -15

500

9t - 6 - 6t = 6

What is the value of t?

9t - 6 - 6t = 6

3t - 6 = 6

3t = 12

t = 4

Multi-Step Equations 2

100

8b + 3b = 22

What is b?

8b + 3b = 22

11b = 22

b = 2

200

19x -5 - 24x = 10

What is the value of x?

19x - 24x -5 = 10

19x -24x = 15

-5x = 15

x = -3

300

2a + 5a - 20 = 8

What is the value of a?

2a + 5a -20 = 8

7a - 20 = 8

7a = 28

a = 4

400

12y - 36 - 4y + 5 = 25

What is the value of y?

12y - 36 - 4y + 5 = 25

8y - 31 = 25

8y= 56

y=7

500

-6m - 6 + 18 = 24

What is the value of m?

-6m - 6 + 18 = 24

-6m + 12 = 24

-6m = 12

m = -2

Vocabulary

100

A sentence in which two expressions are placed EQUAL to one another.

An Equation.

200

A letter representing a number we don't know yet.

A Variable.

300

SADMEP

Subtraction

Addition

Division

Multiplication

Exponent 

Parenthesis

400

Rearranging an equation so that the variable is on its own (alone or apart).

Isolating The Variable

500

The opposite operation.

Inverse Operation.