All
Of
These
Are
Random
100
7a+10=2a
a=-2
100
11x=24+8x
x=8
100
5n+9=2n
n=-3
100
3k+14=k
k=-7
100
m-18=3m
m=-9
200
3-10b=2b-9
b=1
200
2z-31=-9z+24
z=5
200
8y-3=6y=17
y=10
200
-7x+5=x-19
x=3
200
11x=20x+18
x=-2
300
4n+13=n-8
n=-7
300
9-2y=8y-6
y=1.5
300
x+5=4x+26
x=7
300
3d=18-3d
d=3
300
-2g+15=45-8g
g=5
400

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70. For how many square yards will the cost be the same?

22x +100 = 25x +70

The cost will be the same for 10 Square yards.

400

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

20 + 4h = 14 h

2 hours the cost would be the same. 

400

Rent-A-Tent rents party tents for a flat fee of $400 plus $125 a day. Capital Rentals rents party tents for a flat fee of $250 plus $175 a day. Find the number of days for which the total cost charged by the two companies would be the same.

400 + 125d =250 + 175d

The cost will be the same after 3 days

400

3(x - 5) + 1 = 2 + x

x=8

400

5 - 7k = -4(k + 1) - 3 

k=4

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
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
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
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
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
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