Exploring Adding and Subtracting Rational Expressions

This lesson covers exponents, perfect squares, and square roots. It begins with an explanation of exponents, including how to express repeated multiplication using base and power notation. The lesson then introduces perfect squares, followed by an exploration of square roots, including how to find them and their properties. Students learn to estimate square roots of non-perfect squares and apply these concepts to solve real-world problems involving area and perimeter.

What is the base in the expression 2^3?

• 2

• 3

• 6

• 8

How would you express 6 multiplied by itself 5 times using exponents?

• 6^6

• 5^6

• 6^5

• 6^4

What is the value of 23^2?

• 529

• 5290

• 23

• 46

Which of the following is a perfect square?

• 441

• 30

• 20

• 50

What is the square root of 25?

• 3

• 4

• 5

• 6

What is the approximate value of the square root of 53 to the nearest tenth?

• 7.1

• 7.4

• 7.2

• 7.3

Estimate the square root of 148 to the nearest tenth.

• 12.3

• 12.4

• 12.2

• 12.1

If the area of a square is 64 square inches, what is the length of one side?

• 6 inches

• 7 inches

• 8 inches

• 9 inches

Dan built a square patio with an area of 80 square feet. Estimate the length of each side to the nearest tenth.

• 8.7 feet

• 9.0 feet

• 8.8 feet

• 8.9 feet

Nick's garden is divided into three sections, each with an area of 256 square feet. How much fencing is needed to surround the entire garden?

• 192 feet

• 256 feet

• 128 feet

• 64 feet