Warm Up Exercise…

(1) -12h + 39 = -4h – 17 (2) (1/3)(24p-66) = 3p + 43

(3) -19.4 – 15d + 22d = 4.4 (4) 14c – 8c + 7u = 37

SWBAT write and solve equations with variables on both sides of the equal sign from a given realistic situation.

2-4 Word Problems including variables on Both sides

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

One health club charges a $44 sign up fee and $30 per month. Another health club charges a $99 sign up fee and $25 per month. For what number of months is the cost the same?

You and a pilot friend decide to rent an airplane to do some sightseeing. One service charges $100 plus $80 per hour, while another charges $250 plus $70 per hour for the same airplane. At what number of hours is the cost the same?

A 15 inch candle burns at a rate of 0.25 inches per hour. A 20 inch candle burns at a rate of 1.5 inches per hour. At what time will the two candles be the same height?

The length of a rectangle is 6 inches more than its width. The perimeter of the rectangle is 24 inches. What is the length of the rectangle?

Mrs. Silvers wants to hire a painter to paint her house. Painter’s Plus charges $2,200 plus $45 per hour. Davis & Sons charges $1,850 plus $65 per hour. How many hours will the painters need to work for the two costs to be the same?

Ace Truck Rental charges $54 a day plus $0.09 per mile. Roni’s Truck Rental charges $38.00 a day plus $0.13 per mile. For how many miles will the cost of renting a truck for one day at Ace equal the cost at Roni’s?

Container A has 400 mL of water and is being filled at a rate of 8 mL per minute. Container B has 800 mL of water and is being drained at a rate of 8 mL per minute. How many minutes will it take for the two containers to have the same amount of water?