Exploring Square and Cube Roots in Equations

What is the main goal of solving an equation?

• To eliminate all variables

• To simplify the equation

• To find the value of the unknown variable

• To convert the equation to a fraction

What is the inverse operation of taking the cube root of a number?

• Squaring the number

• Cubing the number

• Dividing the number by three

• Taking the square root

If the cube root of x equals -6, what is the value of x?

• -6

• -216

• 36

• -212

What is the cube root of 729?

• 9

• 81

• 3

• 27

What is the inverse operation of cubing a number?

• Taking the square root

• Squaring the number

• Dividing the number by three

• Taking the cube root

What is the inverse operation of taking the square root of a number?

• Dividing the number by two

• Cubing the number

• Taking the cube root

• Squaring the number

If the square root of Z equals 5/7, what is the value of Z?

• 7/5

• 25/49

• 5/7

• 49/25

What is the square root of 169?

• 13

• 14

• 12

• 15

What are the two possible solutions for a squared variable?

• Positive and zero

• Positive and positive

• Positive and negative

• Zero and negative

How can you represent the two solutions for a squared variable in an equation?

• Using the equal symbol

• Using the plus or minus symbol

• Using the plus symbol

• Using the minus symbol