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

The number y time negative four plus five is the number. Write an equation for this statement and find the number.

-4y + 5 = y y = 1

500

Three times a number x plus ten is five times the number. Write an equation for this statement and find the number.

3x + 10 = 5x x = 5

Of

100

11x=24+8x

x=8

200

2x -31=-9x+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 gold tickets for your local minor league baseball team for only $3 a game. Regular tickets sell at the stadium for $6. How many gold tickets would you need to buy to equal the cost of the tickets.

30 + 3x = 6x 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? Write and equation and use it to solve this problem.

40x = 60 + 20x 3 days

Are

100

3k+14=k

k=-7

200

-7x+5=x-19

x=3

300

3d=18-3d

d=3

400

3x+6=x

x=-3

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? Write an equation to solve this problem.

4x = 21 + 2.5x 14 videos

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 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?

100 = 5x -1x 25 candles