Laura has a board that measures 6 ¹¹/₁₂ feet in length. She will cut the board into pieces that are each ¹¹/₁₂ foot long. How many full pieces can Laura cut from her board, and how much of her board will be remaining?

The gas tank in Phil’s car was ¹/₈ full. He put more gasoline in the car’s gas tank. The number line shows how full the car’s gas tank was before and after Phil put in more gasoline.

Which equation represents the change in the amount of gasoline in the car’s tank?

For a science experiment, Annie removes a cold liquid from a refrigerator and measures its temperature every ½ minute. Annie finds that the temperature increases by 1¾ degrees Fahrenheit (°F) between each measurement for three minutes. What is the rate per minute of the temperature increase?

Clark and Phil are each running to raise money. The amount of money (y), in dollars, they each raise is based on the distance (x), in miles, they each run. Clark has an initial donation that he has received regardless of how many miles he runs. The graphs shown model the amount of money each will raise based on the distance they each run.

What is the unit rate for the person for whom the amount of money and the number of miles are proportionally related?

Joe has a picture that measures 8 centimeters by 12 centimeters. He creates four enlargements of the picture. The table below shows the width and the length of each enlargement.

What is the constant of proportionality between the width and the length of the pictures?

Jaya is painting her room. She mixes 2 pints of blue paint with 5 pints of red paint to get her desired color. Which equation can be used to find the number of pints of blue paint (x) Jaya should mix with 18 pints of red paint?

Ernesto made a graph of the distance (y), in miles, he can ride a bicycle in x hours. Ernesto can ride 5.5 miles in 0.5 hour. Which point on the graph represents Ernesto’s rate of travel, in miles per hour?

The ratio of the number of students in the chess club to the number of students on the math team is 1 : 3. The ratio of the number of students on the math team to the number of students on the quiz bowl team is 1 : 2. There are 4 students in the chess club. How many students are on the quiz bowl team?

Arnie buys 2 ²/₅ pounds of red grapes for $1.95 per pound. He buys 2²/₅ pounds of green grapes for $2.20 per pound. Which expression can be used to determine the total cost, in dollars, of the grapes Arnie buys?

An author receives $0.75 for each hardcover book or paperback book that is sold. There were x hardcover books and 42,000 paperback books sold of her most recent book. The author received a total of $60,000 for the book sales. The equation below can be used to determine the number of hardcover books that were sold.

0.75(x + 42,000) = 60,000

How many hardcover books were sold?

Tasha sells gift boxes and cookies at her bakery.

• Gift boxes sell for $26.00 each.

• Cookies sell for $1.50 each.

Tasha would like her total sales to be at least $50.00 from the sale of one gift box and some cookies. Which inequality describes all the numbers of cookies (x) that Tasha needs to sell?

A stained glass window is in the shape of a regular octagon as shown below. The window is separated into sections by drawing straight, dashed lines that intersect in the center of the octagon. What is the value of x?

Melinda’s candy bar is in the shape of a triangular prism. She cuts her candy bar parallel to its bottom. The dotted line in the picture below represents Melinda’s cut. What is the shape of the cross section of Melinda’s cut?

Two lines intersect parallel lines m and n as shown.

What is the value of x?

The diameter of Jacob’s circular tabletop is 6 feet. What is the area, in square feet, of Jacob’s tabletop?