Solving Equations With Variables On Both Sides.

All

100

7a+10=2a

a=-2

200

3-10b=2b-9

b=1

300

4n+13=n-8

n=-7

400

-6x+10= -x

x= 2

500

Will averages 18 points a game and is the all-time scoring leader on his basketball 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=24+8x

x=8

200

2z-31=-9z+24

z=5

300

9-2y=8y-6

y=1.5

400

7a-5=2a

a=1

500

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

10 tickets

These

100

5n+9=2n

n=-3

200

8y-3=6y=17

y=10

300

x+5=4x+26

x= -7

400

3a + 1 = 2a

a= -1

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

k=-7

200

-7x+5=x-19

x=3

300

3d=18-2d-d

d=3

400

3x+6=x

x=-3

500

A food prep service charges nonmembers $4 per meal. A membership costs $21 and members pay only $2.50 per meal. How many meals must be purchased for the non-member and member to have an equal food cost?

14 meals

Random

100

m-18=3m

m=-9

200

11x=20x+18

x=-2

300

-2g+15=45-8g

g=5

400

8x+10=3x

x=-2

500

Suppose your chess club is selling candles to raise money. It costs $100 to rent a booth at a local farmer's market to sell the candles. If the candles cost your club $1 to make and are sold for $5 each, how many candles must be sold to equal your expenses?

25 candles