Solving Multi-Step Equations

2-step equations

100

2 + 7h = 23

 3

200

4b - 8 = 4

3

300

12 - 3a = -9

 7

400

-6 = 4 + 2y

 -5

500

78 = 2c + 16

 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

2

200

5(d - 2) = 40

10

300

7(4 - t) = -84

16

400

-2(x - 9) = -24

21

500

-13(4 + 2a) = 208

 -10

Solving with fractions

100

1/3x = 9

27

200

-x/4 = 3

-12

300

1/2(x - 5) = 8

21

400

Simplify. - 3/2(x - 2) = 24

18

500

3/4(3x - 2) = 3

2

Equation Grab Bag

100

-2x - 5 = 6x + 11

 -2

200

4x - 1 = 6x -11

 5

300

4(y - 2) - 3 = x - 14

 -1

400

 -m - 3 = -6(m + 1) + 18

 3

500

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

 -10

Word Problems

100

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

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

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?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300

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?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

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. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.