Solve
The
Equation
Combining Like Terms
Words with Friends
100
7a+10=2a
a=-2
100
11x=24+8x
x=8
100
5n+9=2n
n=-3
100

17w + 5 - 7w + 15

10w + 20

100

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

Which equation describes the situation? (variable g)

30+3g = 6g

200
3-10b=2b-9
b=1
200
2z-31=-9z+24
z=5
200

3a-1=2a

a=1

200

2f - 1f - 6 + 5f

6f - 6

200

Match the verbal description to: 12x+5=8x+21

1) A phone plan (Plan A) costs a flat fee of $5 plus $12 per gigabyte of data use. A different plan (Plan B) costs $21 plus $8 per gigabyte of data use. After how many gigabytes will the total cost of the two plans be equal?

2) Plan A costs $12 for the first gigabyte and then $5 for every additional gigabyte. Plan B costs $8 for the first gigabyte and then $21 for every additional gigabyte. When will the costs be the same?

Verbal Description 1

300
4n+13=n-8
n=-7
300

9-2y=8y-6

y=1.5

300

x+5=4x+26

x=-7

300

19a + 6b - 17a - 4b + 9b - 2a

11b

300

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

7 games

400
6x+10=1x
x=-2
400
7a-5=2a
a=1
400

8y-3=6y+17

y=10

400

5r + 5q -2q - r

4r + 3q

400

Match the verbal description to: −2x+10=0.5x−3

1) Team A scores 10 points but loses 2 points per minute.  Team B starts with a −3 point penalty and gains 0.5 points per minute. After how many minutes will Team A's score be 10 points higher than Team B's score?

2) A driver in traffic (driver A) starts at an elevation of 10 meters and descends at a rate of 2 meters per minute.  A second driver (driver B) starts at an elevation of −3 meters and ascends at a rate of 0.5 meters per minute.  After how many minutes will the two commuters be at the same elevation?

Verbal Description 2

500

4(3 - 2x) = 2(x+1)

x = 1

500

3(x-2) = 4x - 19

x = 13

500

4x - 7 = 3(x + 2/3)

x = 9

500

53t + 20r + 17 - 10t - 17 - 20r

43t

500

Suppose your club is selling candles to raise money. It costs $100 to rent a booth to sell the candles.  If your candle maker charges your club $1 per candle and you sell them for $5 each, how many candles must be sold for your total sales to equal your expenses?

25 candles

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