Solving Equations with Perfect Square and Cube Roots

Mr. Boyer explains how to solve equations using inverse operations, focusing on perfect square and cube roots. He begins by defining inverse operations and their role in solving equations. The video then demonstrates solving equations using square roots, followed by examples using cube roots. Each example is broken down step-by-step, highlighting the use of inverse operations to isolate the variable and find the solution.

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Square root

Tags

CCSS.HSA.REI.A.1

Which operation cancels out multiplication?

• Square root

• Subtraction

• Division

• Addition

Tags

CCSS.HSA.REI.A.1

What is the inverse operation of x squared?

• Addition

• Division

• Cube root

• Square root

Tags

CCSS.8.EE.A.2

To solve x squared equals 100, what operation should be used?

• Addition

• Multiplication

• Square root

• Cube root

Tags

CCSS.8.EE.A.2

If x squared equals 64, what is the value of x?

• 6

• 7

• 8

• 9

Tags

CCSS.8.EE.A.2

What is the first step to solve x cubed equals 60?

• Take the square root of both sides

• Multiply both sides by 8

• Divide both sides by 8

• Take the cube root of both sides

What is the cube root of 64?

• 5

• 4

• 3

• 2

Tags

CCSS.8.EE.A.2

To solve x cubed equals 125, what operation should be used?

• Square root

• Addition

• Cube root

• Multiplication

Tags

CCSS.8.EE.A.2

What is the cube root of 125?

• 3

• 6

• 4

• 5

Tags

CCSS.8.EE.A.2

What is the value of x if x cubed equals 125?

• 7

• 4

• 5

• 6

Tags

CCSS.8.EE.A.2