OST Math Prep

This item has two parts. Zachariah owns a sandwich shop. He charges the same price for each sandwich. The prices for different numbers of sandwiches are shown in the table. Part A. Enter a number in the box to show the ratio of the number of sandwiches to the sandwich cost.

Zachariah decides to reduce the price of each sandwich. Which ratio could be the new ratio of the number of sandwiches to the sandwich cost?

• 1:11

• 2:11

• 2:16

• 9:63

The total number of bikes a factory produces over time is shown in the table. Create an equation to show the relationship between the amount of time in hours, x, and the number of bikes, y, the factory produces.

• y=7.5x

• y=8x

• y=12x

• y=5.3x

Melissa asks visitors at a farm how many apples they picked that day. She calculates the mean of the data. What does the mean of Melissa’s data describe?

• A. the total number of apples visitors picked that day

• B. the largest number of apples one visitor picked that day

• C. the average number of apples per visitor picked that day

• D. the most frequent number of apples visitors picked that day

How many 1/3 cup servings are in the 12 cup bottle of lemonade?

• 4

• 8

• 16

• 24

There are 24 students in Priscilla's class. There are more students in her class than in Roger's class. Create an inequality that represents this situation, using x for the number of students in Roger's class.

• x > 24
• x = 24
• x <= 24
• x < 24

Two points are shown on the coordinate plane. What is the distance between the two points?

• 10

• 20

• 15

• 40

Emma is x years old. Emma is 5 years older than Grace. Grace is 15 years old. Which equation shows the relationship between Emma's and Grace's ages?

• A. x + 5 = 15

• B. x - 5 = 15

• C. 5x = 15

• D. x/5 = 15

At an amusement park, each ride ticket costs $6. The manager is trying to determine how many visitors bought $30 worth of tickets or more. What method could the manager use?

• A. count the number of dollars and divide it by 30

• B. count the total number of tickets and divide it by 5

• C. count the number of visitors who bought 5 tickets or more

• D. count the number of rides that were ridden 5 times or more

The table shows the types of books a sample group of sixth- and seventh-graders prefer to read. Complete the statements: The ratio of sixth-graders who prefer to read nonfiction to seventh-graders who prefer to read nonfiction is [_____]. The ratio of seventh-graders who prefer to read biographies to all seventh-graders is [_____].

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