Lesson 3: Practice Problems

Problem 1

It takes an ant farm 3 days to consume $\frac{1}{2}$ of an apple. At that rate, in how many days will the ant farm consume 3 apples?

Problem 2

To make a shade of paint called jasper green, mix 4 quarts of green paint with $\frac{2}{3}$ cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?

Problem 3

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, $d$ , is related to the time in seconds, $t$ , by the equation $d = 0.15 t$ .

How fast is it flying? Be sure to include the units.
How far will it travel in 30 seconds?
How long will it take to go 12.75 miles?

Problem 4

A grocer can buy strawberries for $1.38 per pound.

Write an equation relating $c$ , the cost, and $p$ , the pounds of strawberries.
A strawberry order costs $241.50. How many pounds did the grocer order?

Problem 5 From Unit 3 Lesson 10

Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles.

How far is it around the perimeter of Crater Lake?
What is the area of the surface of Crater Lake?

Problem 6 From Unit 3 Lesson 8

A 50-centimeter piece of wire is bent into a circle. What is the area of this circle?

Problem 7 From Unit 1 Lesson 2

Suppose Quadrilaterals $A$ and $B$ are both squares. Are $A$ and $B$ necessarily scale copies of one another? Explain.