Solving Multi-Step Equations

Solving by Combining Like Terms & Distributive

100

7(4 - t) = -84

t = 16

200

6+ 3b + b - 8 = 10

b = 3

300

3a + 12 - 6a = -6 + 3a

a = 3

400

208 = -13(4 + 2a)

a = -10

500

10c - 2(39 - 3c) = 3c + 12 - c + 4

c = 47

Solving Literal Equations

100

Solve for x

x + y = z - 5

x = z - y - 5

200

Solve for d

f(d - 2) = 40

d = 40/f + 2

300

Solve for a

4a - 5b = 30

a = (30 + 5b)/4

400

Solve for g

g( 2b - 5 ) = 10

g = 10/( 2b - 5 )

500

Solve for h 

4h - 6y = 5t + 7y

h = ( 5t + 13y )/ 4

Solving Absolute Value Equations

100

| x - 4 | = 5

x = 9, -1

200

| 5x | = 40

x = 8, -8

300

2| x - 7 | =22

x = 18, -4

400

4| 2x - 1 | + 3 = 19

x = 5/2 , - 3/2

500

5| x - 5 | + 10 = 8

NO SOLUTION

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

Unit Analysis & Word Probelsm

100

Convert 129,600 seconds to Days

1.5 Days

200

What is more 20,000 feet or 4 miles?

4 Miles

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

How do you spell my name?

Mr. Heidlebaugh