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

-5x-(-7-4x)=-2(3x-4)

x = 1/5

500

0.3(12x-16)=0.4(12-3x)

2

Expressions

100

Simplify. 8b - 6 + 2b -14

10b-20

200

Simplify. 19x - 24x

-5x

300

Simplify. 2x^2+(4x-6x^2)+9-6x+3

-4x^2-2x+6

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

4(0.5n-3)=n-0.25(12-8n)

-9

300

5(3-x)<-2x+6

x>3

400

-6(m + 1) + 18 = 24

m = -2

500

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

k = 4

Word Problems

100

You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money? Write an equation. 

7x+60=5x+120

200

You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money? Write an equation and solve.

30 weeks

300

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor. 

60 volts

400

The value of y is directly proportional to the value of x. If y=35 when x=140, what is the value of y when x=70?

17

500

A shoe company is going to close on eof its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A: 1/2g^2+7/2

Store B: 3g^2-4/5g+1/4

What is the expression for their COMBINED inventory?

7/2g^2-4/5g+15/4