Solving Equations with Square and Cube Roots

What does the exponent in 3^2 indicate?

• The number of times 3 is multiplied by itself

• The number of times 3 is multiplied by 2

• The number of times 3 is subtracted from itself

• The number of times 3 is added to itself

What is the square root of 9?

• Neither 3 nor -3

• Both 3 and -3

• Only -3

• Only 3

What is the result of (-3)^2?

• 6

• -9

• 9

• -6

What is the cube root of -27?

• -9

• 9

• 3

• -3

Why can't the square root of a negative number be calculated in basic algebra?

• Because negative numbers do not exist

• Because squaring a number always results in a positive number

• Because calculators cannot handle negative numbers

• Because it results in a non-real answer

What is the side length of a square with an area of 25 square units?

• 4 units

• 3 units

• 6 units

• 5 units

How much decorative molding is needed for a square tabletop with a side length of 5 units?

• 15 units

• 25 units

• 10 units

• 20 units

What is the side length of a cube with a volume of 343 cubic feet?

• 8 feet

• 7 feet

• 6 feet

• 5 feet

What is the cube root of 64?

• 4

• 3

• 2

• 5

What is the percent change if a value increases from 54 to 81?

• 25%

• 50%

• 75%

• 100%