# math/116 algebra

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Application Practice

Answer the following questions. If appropriate, use Equation Editor to show your work. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Each part is worth 2 points.

1. This coming summer, we are meeting up with some other family members at Family Fiesta Amusement Park. The ticket price for children is \$17 and for adults the ticket price is \$31. The total price for all 20 of us to enter the park is \$438.

a. Write an equation, using A for adults and C for children, that illustrates the number of tickets bought.

b. Write an equation, using A for adults and C for children, that illustrates how much money was spent.

c. Use the Elimination Method or Addition Method to determine how many adult tickets and how many childrens tickets were purchased. Show your work, or no credit will be awarded. No credit will be awarded for guessing to find the answer.

d. Would a value of -10 make sense for A? Explain why or why not.

2. While at the amusement park, the Tunmire family bought 8 hot dogs and 5 soft drinks for lunch, which cost \$15.05. Then the Lee family bought 13 hot dogs and 9 soft drinks for \$25.20.

a. Write an equation, using H for the cost of a hot dog and S for the cost of a soft drink, that illustrates the cost of what the Tunmire family bought.

b. Write an equation, using H for the cost of a hot dog and S for the cost of a soft drink, that illustrates the cost of what the Lee family bought.

c. Using the Elimination Method or the Addition Method, determine the cost of one hot dog and one soft drink. Show your work, or no credit will be awarded. No credit will be awarded for guessing to find the answer.

3. (a) Make up a system of two linear equations containing two variables that has no solution.

(b) Explain what both equations have in common.

4. Based on the graph below, identify the point of intersection.