Solving Equations With Variables On Both Sides

Solve Equations with Variables on both sides I

100

7a+10=2a + 5

a=-1

200

3-10b=2b-9

b=1

300

4n+13=n-8

n=-7

400

6x+10= x - 5

x=-3

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

Solve Equations with Variables on both sides II

100

11x+3=24+8x

x=7

200

2z-31=-9z+24

z=5

300

9-2y=8y-6

y=1.5

400

7a-5=2a - 5

a=0

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.

10 tickets

Solve Equations with Variables on both sides III

100

5n+9=4n - 1

n=-10

200

8y-3=6y+17

y=10

300

x+5=4x+26

x=7

400

3a-1=2a + 4

a=5

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

Variables on Both Sides with Distributing

100

4(4-w) = 3(2w+2)

w = 1

200

3(6+5y) = 2(-5+4y)

y = -4

300

1/3(n + 1) = 1/6(3n - 5)

n = 7

400

3(d - 5) = 4d -7

d = 2

500

1/9(2m - 16) = 1/3(2m + 4)

m = -7