Solving Equations With Variables On Both Sides.

All

100

7a+10=2a - 10

a=-4

200

-10b +30=2(b-9)

b=4

300

4(n+3)=12+4n

Infinitely Many Solutions

400

6x+10=1x

x=-2

500

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

7 games

Of

100

11x - 11=25+8x

x=12

200

2z-31=-9z+24

z=5

300

9-2y=8y-6

y=1.5

400

7a-5=2a + 25

a=6

500

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

10 tickets

These

100

5n+9=2n + 39

n=10

200

8y-3=6y+17

y=10

300

3(x+5)=4x+26

x=-11

400

3a-1= - a + 27

a=7

500

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

Are

100

3k+14=k + 8

k=-3

200

-7x+5=x-19

x=3

300

3d - 4=18+3d

No Solution

400

3x+6= x + 22

x = 8

500

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

14 videos

Random

100

m-18=3m + 8

m=-13

200

11x=20x+18

x=-2

300

-2g+15=45-8g

g=5

400

-8(x-2) =-6x + 24

x=-4

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