Solving Multi-Step Equations

Solving by 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

Solving by Using the 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

Variables on Both Sides

100

6r + 7 = 13 + 7r

What is r=-6?

200

5 + 2x = 2x + 6

What is no solution?

300

−31 − 4x = −5 − 5(1 + 5x)

What is x = 1?

400

3(1 − 3x) = 2(−4x + 7)

What is x = -11?

500

8x + 4(4x − 3) = 4(6x + 4) − 4

What is no solutions?

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

On Monday, 244 students went on a trip to the zoo. All 4 buses were filled and 8 students had to travel in cars. How many students were in each bus?

There were 59 students on each bus.

200

The width of a rectangle is 6 cm less than the length. If the perimeter is 52 cm, what is the width?

The width is 10 cm.

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

The width of a rectangle is 3 feet less than its length. The perimeter of the rectangle is 110 feet. Find the dimensions. 

The width is 26 feet and length is 29 feet.