Solving Quadratics with Inverse Operations

Mrs. Hayes introduces solving equations using inverse operations, focusing on square roots and quadratic equations. She explains how to express solutions in simplest radical form and convert them to decimal approximations. The video covers rational solutions and demonstrates using a calculator for decimal conversions.

What is the simplest radical form of the square root of 8?

• 2√2

• 4√2

• √8

• 8

What is the inverse operation of squaring a number?

• Multiplication

• Addition

• Square root

• Division

If x^2 = 100, what are the possible values of x?

• 10 and -10

• 10 and 0

• 100 and -100

• 50 and -50

How do you solve the equation 4x = 12 for x?

• Multiply both sides by 4

• Subtract 4 from both sides

• Divide both sides by 4

• Add 4 to both sides

What is the simplest radical form of the square root of 20?

• 5√2

• 2√5

• 4√5

• √20

In the equation 2x^2 = 18, what is the first step to isolate x^2?

• Multiply both sides by 2

• Add 18 to both sides

• Divide both sides by 2

• Subtract 18 from both sides

What are the solutions to the equation x^2 = 9?

• 3 and 0

• 3 and -3

• 9 and -9

• 9 and 0

What is the decimal approximation of 2√3?

• 3.46

• 4.46

• 2.46

• 5.46

What is the first step to solve the equation (x - 2)^2 = 25?

• Add 2 to both sides

• Subtract 2 from both sides

• Take the square root of both sides

• Multiply both sides by 2

What are the solutions to the equation (x + 4)^2 = 20 in simplest radical form?

• 2 ± 4√5

• 2 ± √20

• 4 ± √20

• 4 ± 2√5