**Solving Two-Step Equations**

By: Brooke & Lexi

By: Brooke & Lexi

Here is how we solved it:

64h-2.5=253.5 253.5

+2.5 +2.5 + 2.5

64h 256.0 256.0

64 64

Word Problem 1

Word Problem 2

Billy-Joe went to the store and bought 64 bottles of helium for a balloon party. For one bottle of helium it costs $2.50, and with each bottle you can fill up 253.5 balloons if he bought one bottle how much would it cost?

h=4

Today we are going to show you how to solve two-step equations. Solving two-step equations is rather easy

.

We will show you many different kinds of problems, then you will try one yourself.

First Problem

**44c-30=58**

Co-Efficient

Variable

constant

Total

+30

+30

44c 88

44 44

Billy-Jo's dad went to buy Billy-Jo some toys for his birthday. He has $27.00, each toy costs $7.00. He has a coupon for $6.00 off, how many toys can Billy-Jo's dad buy?

c=2

**7t+6=27.00**

-6 -6

-6 -6

7t 21

7 7

t=3

27.00

-6

21

L.C.

B.W.

**35b-3=172**

+3 +3

35b

35

175

35

172

+3

175

**b=5**

56y+15=239

56y

56

224

56

239

-56

224

y=4

-15 -15

So now you can try one yourself!

**32k-11=181**

k=?

This is how you were suppose to solve the problem.

**32k-11=181**

+11 +11

+11 +11

**181**

**+11**

192

32k

32

192

32

Co-efficient

k=6

This is how we solved it:

Total

Variable

Constant

Brooke's Word Problem

Now you can try a word problem by yourslef.

Lexi has 15 dollars if she needs 5 tickets to go to a LeBlanc Band Concert and if a ticket cost 5 dollars how many tickets can she buy?

Jack wants to buy roses for Valentines Day, he has $30.00. Each rose costs $2.00, Jack has a coupon that says "Buy one get one free", how many roses can Jack buy?

total

Co-Efficient

Constant

Total= $30.00

Constant= $2.00

Co-Efficient= "Buy one get one free"

5x-5=15

+5 +5

How to Solve Brooke's Word Problem

15

+5

20

1x + 2.00 = 30.00

5x

5

-2.00

-2.00

30.00

- 2.00

20

5

28.00

1x

1

x=4

=

28.00

L.C.

1

x = 28

Group Equation

Group

Group

Group

Group

Group

Group

Brooke's Second Individual Equation

Lexi's Individual Equation

**30r-4=144**

+4

+4

30r

30

144

+ 4

148

148

30

r=4

42x - 8= 244

+8

+8

244

+ 8

252

42x

42

=

252

42

x= 6