real-world <--> equation: Variables on Both Sides

A large pizza at Palanzio's Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido's Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same?

• 6.8 + 0.9t = 7.3 + 0.65t
• 6.8 - 0.9t = 7.3 - 0.65t
• 6.8 + 0.65t = 7.3 + 0.9t
• 6.8 - 0.65t = 7.3 - 0.9t

A wireless company offers two cell phone plans. Plan A charges $24.95 each month plus $0.10 per minute for calls. Plan B charges $19.95 each month plus $0.20 per minute. When will the plans cost the same?

• 24.95 + 0.1m = 19.95 + 0.2m
• 24.95m + 0.1 = 19.95m + 0.2
• 24.95 + 0.2m = 19.95 + 0.1m
• 24.95m - 0.2 = 19.95m - 0.1

First Rate Rental charges $40 plus $0.25 per mile. Star Rental charges $25 plus $0.45 per mile. Which equation shows in how many miles the Rental Companies will cost the same amount?

• 40 + 0.25m = 25 + 0.45m
• 40 + 0.25m = 25m + 0.45
• 40m + 0.25 = 25 + 0.45m
• 40m + 0.25 = 25m + 0.45

Tees 4U charges $16.50 for each t-shirt and offers a $2 discount off the total number of shirts purchased. T-Time charges $18 per shirt and offers a $5 discount. How many shirts must you by for the cost to be the same?

• 16.5t - 2 = 18t - 5
• 16.5 - 2t = 18 - 5t
• 16.5t + 2 = 18t + 5
• 16.5 + 2t = 18 + 5t

Ocean Adventures charges $35 an hour to rent a sailboard plus $14 for a wetsuit. Water Fun charges $22 an hour plus $40 for a wetsuit. Write an equation to represent that the cost of renting a sailboard is the same at both shops.

• 35 + 14h = 22 + 40h
• 35h + 14 = 22h + 40
• 35 + 14h = 22h + 40
• 35h + 14 = 22 + 40h

An 18-in candle burns 2 in per hour. A 12-in candle burns 0.5 in. per hour. How many hours will it take for the candles to be the same length?

• 18 - 2h = 12 - 0.5h

• 18h - 2 = 12 - 0.5h

• 18 - 2h = 12h + 0.5
  

• 18 + 2h = 12 + 0.5h

The Great Khali weighs 300 lbs and is gaining 4 pounds each month. Big Cass weighs 276 lbs and is gaining 10 pounds each month. How long will it take for them to weigh the same?

• 300 + 4m = 276 + 10m

• 300 - 4m = 276 - 10m

• 300 + 10m = 276 + 4m

• 300m + 4 = 276m + 10

At bowl-mazing, shoes cost $2 and you pay $3.50 per game. At Pin-tastic , shoes are $5 and you pay just $3.25 per game. How many games would you play at each location to pay the same amount?

• 3.5g + 2 = 3.25g + 5

• 2 + 3.5g = 5 + 3.25g

• 2g + 3.5 = 5g + 3.25

• 3.5 + 2g = 3.25 + 5g

A 335 mL can of Dr. Pepper is pouring into a glass at a rate of 5 mL per second. Another can is half full. How many seconds until the containers have the same amount of DP?

Tags

TEKS.MATH.6.4B

TEKS.MATH.6.6C

TEKS.MATH.6.9A

TEKS.MATH.6.10A

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same?

• 7 + 0.2p = 5 + 0.3p

• 7 - 0.2p = 5 - 0.3p

• 7p + 0.2 = 5p + 0.3

• 7p - 0.2 = 5p - 0.3