Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

Simplify. 8b - 6 + 2b -14

10b-20

100
4x + 9 = 33
x = 6
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
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200

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

-9

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
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

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

-4x^2-2x+6

300

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

x>3

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
-6 = -3y + 4 + 5y
y = -5
400

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

x = 1/5

400
Simplify. - (2b - 4)
-2b + 4
400
-6(m + 1) + 18 = 24
m = -2
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
78 = 3c + 12 - c + 4
c = 31
500

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

2

500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
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

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