Updated 7/8/2015M7 U2 T1 Worksheet

Updated 7/8/2015M7 U2 T1 Worksheet

Name: ______Date: ______Period: ______

Admission Costs

The carnival has different costs for admission based on people’s age. The table on the right indicates the cost of admission for each age group. This simply represents the cost to get into the carnival, though. Once you are in, you have to buy tickets for each ride you want to go on. Each person will go on a different number of rides depending on how much they want to spend. You have not figured out how much the tickets cost yet, so let “x” represent the cost for each ticket. Using this information, complete the following questions. The first one is done for you.

1. Write an expression that represents the total cost of a 3 year old buying 5 tickets.

5x + 4 (because the total cost would be 5 times the cost per ticket for the rides, plus $2 to get in to the carnival)

1. Write an expression that represents the total cost of a 20 year old buying 7 tickets.

1. Write an expression that represents the total cost of YOU buying 10 tickets.

1. Write an expression that represents the total cost of a 16 year old buying 2 tickets and a 10 year old buying 3 tickets.

1. Write an expression that represents the cost of an adult buying 1 ticket and a 17 year old buying 14 tickets, then add them together for the total cost.

1. Write an expression that represents the total cost of an adult and his 6 year old each buying 2 tickets, then add them together for the total cost.

1. Write an expression that represents the total cost of everyone in YOUR family buying 5 tickets each, then add them together for the total cost.

Awesome! The carnival is running a promotion on Tuesdays. Anyone who pays to get in getsthe money back for 3 of their ticketsand gets $2 back for their admission!

1. Using subtraction, write an expression that represents the cost of an adult who went on a Tuesday and bought 10 tickets, then combine like terms for the total cost.

1. Using subtraction, write an expression that represents the total cost of an 18 year old who bought 5 tickets and a 15 year old who bought 7 tickets on a Tuesday, then combine like terms for the total cost.

1. Your friend thinks that the following expression represents the cost of an adult and his 16 year old, where one buys 2 tickets and the other buys 4 tickets. In three to five sentences, tell your friend whether or not you agree and why. At the end of your explanation, rewrite this expression in an equivalent expression with just two terms.

x(2 + 4) + 10 + 8

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1. While you were walking through the carnival, you noticed a receipt on the ground. It said that it was for two people, but it did not say how many tickets they bought. They had written the following on their receipt: 12x + 18. Write three to five sentences about how many tickets they bought and how you can know which age group they were in. (This was not on a discount Tuesday).

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Challenge: While you were walking through the carnival on a discount Tuesday, you noticed a receipt on the ground. It said that it was for three people, but it did not say how many tickets they bought. They had written the following on their receipt: 12x + 20. Write five to seven sentences about how many tickets they bought and give both possibilities for their age groups. (Assume the receipt was printed after they received their money back.)

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