Lesson 2: Practice Problems

Problem 1

A square has an area of 81 square feet. Select all the expressions that equal the side length of this square, in feet.

Problem 2

Write the exact value of the side length, in units, of a square whose area in square units is:

  1. 36

  2. 37

  5. 0.0001

  6. 0.11

Problem 3

Square A is smaller than Square B. Square B is smaller than Square C.

There are 3 differently sized squares labeled, from left to right, “A,” “B” and “C.” The squares are arranged from smallest to largest, so that “A” is the smallest square and “C” is the largest.

The three squares’ side lengths are , 4.2, and .

What is the side length of Square A? Square B? Square C? Explain how you know.

Problem 4 From Unit 8 Lesson 1

Find the area of a square if its side length is:

  1. cm

  2. units

  3. inches

  4. 0.1 meters

  5. 3.5 cm

Problem 5 From Unit 7 Lesson 15

Here is a table showing the areas of the seven largest countries.

Russia

Canada

China

United States

Brazil

Australia

India

  1. How much more area is there in Russia than in Canada?

  2. The Asian countries on this list are Russia, China, and India. The American countries are Canada, the United States, and Brazil. Which has the greater total area: the three Asian countries, or the three American countries?

Problem 6 From Unit 7 Lesson 5

Select all the expressions that are equivalent to .