Use the Response Grids in the Answer Book to complete the following.

Martin and Anna buy books at a sale. Martin buys 3 hardcover books and 4 paperback books for $6.50. Anna buys 2 hardcover books and 6 paperback books for $6.00. What is the cost, in dollars, of each hardcover book?

Sam needs to rent a van for a school field trip. Van Company A charges a one-time fee of $250 plus $10 for each mile driven. Van Company B charges a one-time fee of $150 plus $12 for each mile driven. Let x represent the number of miles driven. Let y represent the total cost, in dollars, to rent the van. Which system of equations models this situation?

Use the Response Grids in the Answer Book to complete the following.

The graph below compares the income and expenses involved in the production and sales of tennis shoes at a shoe factory.

How many pairs of tennis shoes must be sold for income and expenses to be equal?

The graph below shows the amount of money Diana and Melinda each saved during their summer vacation.

Which of these statements can be concluded from the graph?

At a baseball game Sam bought 2 hamburgers and 1 order of French fries for a total of $3.75. Erica bought 1 hamburger and 2 orders of French fries for a total of $3.00.

Complete the following in the Answer Book:

• Write an equation that represents Sam’s total cost. Write an equation that represents Erica’s total cost.
• What is the cost of one hamburger? What is the cost of one order of French fries? Use mathematics to explain how you determined your answers. Use words, symbols, or both in your explanations. (If you choose to draw a graph, use the grid provided in the Answer Book to add to your written response.)
• Use mathematics to justify your answers for the cost of one hamburger and the cost of one order of French fries.

A telephone company offers customers two payment plans for monthly service.

Complete the following in the Answer Book:

• How many minutes of calls would it take for Plan A and Plan B to cost the same? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation. (If you solve the problem graphically, use the grid provided in the Answer Book to add to your written response.)

The graph below shows the amounts of money that Lisa and Dan saved during the summer.

How much money did they each have when their savings were equal?

The Sanchez family is planning a trip to an amusement park. The park has two ticket plans.

Let x represent the number of rides each person will ride and y represent the cost per person, in dollars. Which of these systems of equations could be used to choose a ticket plan?

Kareem is going to Florida. The cost for two different vacation packages is shown below.

How many nights would Kareem need to stay in a hotel to pay the same amount for either vacation package?

Mary graphed the system of equations below.

Which of these best describes the relationship between the two lines?

Look at the system of equations below.

y = −3x + 2
y = 2x − 3

Which of these graphs represents this system of equations?

Terry is going to the county fair. She has two choices for purchasing tickets, as shown in the table below.

Complete the following in the Answer Book:

• Write an equation for Terry's total cost (y) for ticket Choice A. Write an equation for Terry's total cost (y) for ticket Choice B. Let x represent the number of rides she plans to go on.
• How many rides would Terry have to go on for the total cost of ticket A and ticket B to be equal? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation. (If you choose to draw a graph, use the grid provided in the Answer Book to add to your written response.)
• Terry plans to go on 14 rides. To spend the least amount of money, which ticket choice should Terry choose? Use mathematics to justify your answer.

Look at the system of equations below.

Which of these describes this system?

The graph below shows the cost of video rentals for members and non-members of a video club.

According to the graph, which of these statements is true?

Use the Response Grids in the Answer Book to complete the following.

Monique bought 2 hot dogs and 1 large soda. She spent $7. Scott bought 4 hot dogs and 1 large soda. He spent a total of $12. What is the cost of each hot dog?

Use the Response Grids in the Answer Book to complete the following.

There are 26 students in an algebra class. The number of girls in the class is one less than twice the number of boys. How many boys are in the class?

Look at the system of equations below.

y = x + 10
y = x − 10

Which of these statements is correct?

A park ranger spent $208 to buy 12 trees. Redwood trees cost $24 each and spruce trees cost $16 each. How many of each tree did the park ranger buy?

Use the Response Grids in the Answer Book to complete the following.

Information about fees for two health clubs is shown in the table below.

For what number of months is the total cost the same for both health clubs?

Look at the graph below.

Which of these statements describes the relationship between the two lines?

Russ worked a total of 135 hours during the month of July. He earned $3,600. Russ earned $25 per hour each weekday that he worked. He earned $40 per hour each Saturday that he worked. Let x represent the number of weekday hours worked and y represent the number of Saturday hours worked. Which system of equations represents this situation?

Mary is considering two job offers. Job A pays $8.00 an hour and offers a one-time $100 bonus. Job B pays $8.50 an hour and offers a one-time $80 bonus. How many hours would Mary have to work to earn the same amount of money at Job B as at Job A?

The graph below shows the cost (c), in dollars, to rent a boat for h hours at two different boat companies.

At what number of hours will the cost to rent a boat be the same at both companies?

At the beginning of the summer, Sarah has $250. She takes a summer job and saves $150 per week. Felicia has $1,650 at the beginning of the summer. She travels during the summer and spends $200 per week.

Complete the following in the Answer Book:

• Write an equation that represents the amount of money Sarah has at the end of each week.
• Write an equation that represents the amount of money Felicia has at the end of each week.
• Graph the two equations on the grid provided in the Answer Book. (Suggested graphing window: 0 ≤ weeks ≤ 10; 0 ≤ amount ≤ 2000.)
• At the end of which week do Sarah and Felicia have the same amount of money? How much money do they have? Use mathematics to justify your answer.

Two lines are parallel. The equation of the first line is y = 2x + 3. Which of these could be the equation of the other line?

Look at the system of equations below.

12x−4y = 8
3x−y = 2

Which of these statements describes the graph of this system of equations?

William charges $4 per hour to babysit. LaRhonda charges $10, plus an additional $2 per hour to babysit. Both William and LaRhonda work the same number of hours. After how many hours will they earn the same amount of money?

For a party, Simon has pizza delivered to his home. Pizza House charges $8 per pizza plus an additional $12 for delivery. Spaghetti World charges $10 per pizza with no delivery charge. If Simon orders the same number of pizzas from each store, how many pizzas must be delivered for the total cost to be the same for Pizza House and Spaghetti World?

Look at the system of equations below.

y = −2x + 5
y = −2x + 3

Which of these statements must be true?

Eric and Pam are each saving money to buy a car. Eric has $750 saved and will save an additional $30 a week. Pam has $1,200 saved and will save an additional $20 a week. How many weeks will it take Eric and Pam to save the same amount of money?

Internet Company A charges a $25 fee plus an additional $0.35 per hour. Internet Company B charges a $10 fee plus an additional $0.50 per hour. For what number of hours are the charges for both companies the same?

The tenth-grade class is planning a homecoming dance. They want to hire a band.

Let n represent the number of tickets sold and c represent the total cost of hiring the band. Which system of equations models this situation?