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) = 2(2x+3)

x = 2

500

-13(4 + 2a) + 10 = 208 - a

a = -10

Inequalities

100

Graph:

x < 15

See Board

200

Graph:

-8 < x 

See Board

300

Solve and Graph:

2x < 18

x < 9

See board for graph

400

Solve and Graph:

-4x + 6 < -10

x > 4

See board for graph

500

Solve and Graph:

-2 (x - 9) > 6x + 4 - x

x < 2  or  2 > x

See board for graph

Literal Equations

100

Solve for a

ab = c  

a = c/b

200

Solve for x

x + 4y = 3

x = -4y + 3

300

Solve for x

2x - 6y = 4

x = 3y + 2

400

Solve for b

A = 2bh + 3

b = (A - 3)/2h

500

Solve for c:

3abcd = e

c = e/3abd

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

Mr. Campbell had $60 to spend on candy. After buying 150 pieces of candy, he had $22.50 left over. Write the equation and solve for how much each piece of candy was. 

60 = 150c + 22.50

c = $.25 for each piece of candy