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Solve
The
Equation
Combining Like Terms
Words with Friends
100
7a+10=2a
a=-2
100
11x=24+8x
x=8
100
5n+9=2n
n=-3
100

17w + 5 - 7w + 15

10w + 20

100

If you pay a one-time fee of $30, you can purchase VIP tickets for your local minor league baseball team for only $3 each game. Regular tickets sell at the stadium for $6 per game. How many VIP tickets would you need to buy to equal the cost of the regular tickets? 

Which equation describes the situation? (variable g)

30+3g = 6g

200
3-10b=2b-9
b=1
200
2z-31=-9z+24
z=5
200
8y-3=6y=17
y=10
200

19a + 6b - 17a - 4b + 9b - 2a

11b

200

A hardware store rents small tools to non-members for $10 each day. A store membership costs $21 and members pay only $7.50 per day for tool rentals.  How many days would it take for each person to pay an equal total amount for rentals? 

Which equation describes the situation? (variable d)

10d = 7.50d + 21

300
4n+13=n-8
n=-7
300

9-2y=8y-6

y=1.5

300
x+5=4x+26
x=7
300

2f - 1f - 6 + 5f

6f - 6

300

Will averages 18 points a game and is the scoring leader on his team w/ 483 pts. Tom averages 21 points a game and is currently second on the top-scorers list with 462 points. If both players continue at the same rate, how many games will it take for Tom & Will to have scored the same number of points. Write & solve.

7 games

400
6x+10=1x
x=-2
400
7a-5=2a
a=1
400
3a-1=2a
a=1
400

5r + 5q -2q - r

4r + 3q

400

Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 a day. For what number of days is the cost the same?

3 days

500

4(3 - 2x) = 2(x+1)

x = 1

500

3(x-2) = 4x - 19

x = 13

500

4x - 7 = 3x + 2

x = 9

500

53t + 20r + 17 - 10t - 17 - 20r

43t

500
Suppose your club is selling candles to raise money. It costs $100 to rent a booth from which to sell the candles. If the candles cost your club $1 each and are sold for $5, how many candles must be sold to equal your expenses?
25 candles