Scale Factor
A model ship is built at a scale of 1 inch to 3 feet. If the model’s mast measures 7 inches tall, how tall is the actual mast?
What is 21 feet?
A train travels 150 miles in 2.5 hours. What is the average speed of the train in miles per hour?
What is 60 miles per hour?
Eli walks d miles in h hours and uses the equation d=3.2h to track his distance. What is the constant of proportionality between d and h?
What is 3.2?
This is the formula for Circumference of a circle.
What is C = ∏d ?
This is the sum of -18 and -40.
What is -58?
The scale on a travel map is 1.5 cm to 50 miles. If the distance between two towns on the map is 12 cm, what is the real-world distance between them?
What is 400 miles?
A turtle crawls 1/5 mile in 1/3 hour. If it keeps the same pace, what is its speed in miles per hour?
What is 3/5 miles per hour?
A grocery store sells apples in 4-pound bags. Each bag costs $5.20. What equation represents the cost, c, for p pounds of apples?
What is c=1.30p?
This is the formula for Area of a circle.
What is A = ∏r2 ?
What is -3.25?
A photographer enlarges a photo using a scale of 1 cm to 2 inches. If the final print is 18 cm wide, how wide is the actual object in the photo?
What is 36 inches?
A marching band moves 3/10 mile in 4.5 minutes. At this rate, how many minutes will it take to march 1 mile?
What is 15 minutes?
Maya mixes 3 parts blue paint and 2 parts yellow paint to make green. Write an equation that shows the relationship between the units of blue paint, b, and yellow paint, y.
What is
b=3/2y
or
y=2/3b
?
A bicycle tire has a radius of 14 inches. This is the circumference of the tire.
What is 87.92 inches?
Ren says that when you add a positive and a negative number, the sum is only sometimes negative. Is Ren's statement true or false? Explain your reasoning.
...What is
Ren's statement is true.
The sign of the answer matches on the sign of the addend with the greater absolute value.
...?
A tree casts a shadow that is 9 feet long. A 4-foot pole nearby casts a 3-foot shadow. How tall is the tree?
What is 12 feet?
A car travels 195 miles in 3 hours and 15 minutes. What is its average speed in miles per hour?
What is 60 miles per hour?
Liam bikes 2.5 miles every 10 minutes. How many miles does he bike in 16 minutes?
What is 4 miles?
A circular clock has a diameter of 12 inches. This is its area.
What is 452.16 in2 ?
Draw a number line model to represent the equation
9 + (-9) = 0
(See player's work)
An architect is designing a skyscraper using a scale of 1 cm to 2.5 meters. On the blueprint, the elevator shaft measures 14.8 cm tall. The contractor needs the height in feet. How tall will the elevator shaft be in real life, in feet? (1 meter = 3.281 feet)
What is approximately 121 feet?
A recipe uses 3/4 cup of sugar for every 1/2 cup of lemon juice. If you want to use 4 cups of lemon juice, how much sugar do you need?
What is 6 cups?
A smoothie recipe uses 1/3 cup of yogurt, 1/3 cup of berries, and 1/3 cup of juice per batch. How much yogurt is needed to make 6 cups of smoothie?
What is 2 cups?
A round table has a circumference of 62.8 inches. This is its diameter.
What is 20 inches?
Explain the rules for adding signed numbers.
...?