Multistep Equations

Distributive Property

100

2(x + 5) = 14

x =2 

200

5(d - 2) = 40

d =10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b =3

300

3a + 12 - 6a = -9

a= 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

1, 0 or Many Solutions

100

-2x+3=3-2x

Many Solutions 

200

x+2x+7=3x-7

No Solutions

300

4(2x+1)=5x+3x+9

No solutions 

400

3x-x+4=4(2x-1)

1 1/3

500

1/2(2-4x)+2x=13

No Solutions 

Writing Equations

100

WRITE AN EQUATION: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

j+3=11

200

Write an equation: Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

7s=90.93

300

Write an equation: Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box? 

4b-3=109

400

Write an equation: Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76.

17r+2.97=34.76

500

Store number 1 is selling lanyards for $5 each with $3 shipping per order. 

Store number 2 is selling lanyards for $6 each with free shipping. 

Write an equation that shows how many lanyards you need to buy to spend the same amount of money. 

5x+3=6x