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

Percents & Literal Equations

100

What is 35% of 220?

77

200

What percent of 135 is 81?

60%

300

A store manager decides to reduce the price of an item from $120 to $78.  What is the percent of change in the price?

35%

400

Solve the literal equation for the variable b1.

A = 1/2(b1 + b2)h

(2A/h) - b2 = b1

500

Solve the literal equation for the variable r.

A = πr²

√(A/π) = r

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

-8x + 18 = 2(2x - 9)

x = 3

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

Equations with Fractions & Word Problems

100

Solve.

(3/4)x + (7/8) = (49/8)

x = 7

200

(5/4)x + (1/2)x = 7

x = 4

300

Jordan 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

Maci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her 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

You are planning to cut a board that is 98" long into three pieces.  The second piece is 6 inches longer than the first piece.  The third piece is twice as long as the second piece.  Find the length of all three pieces.

20", 26", 52"