Solving Quadratics Using Inverse Operations

Front

What is the first step in solving the equation -3y² - 12 = 14?

Back

Add 12 to both sides of the equation.

Tags

CCSS.8.EE.A.2

Front

How do you isolate the variable in the equation 3a = 12?

Back

Divide both sides by 3.

Tags

CCSS.6.EE.B.7

Front

What are the solutions to the equation 3x² + 12 = 39?

Back

x = 3 or x = -3.

Tags

CCSS.8.EE.A.2

Front

What is the solution to the equation x² + 4 = 68?

Back

x = 8 or x = -8.

Tags

CCSS.8.EE.A.2

Front

What is the solution to the equation -5x² = -50?

Back

x = ± √10.

Tags

CCSS.8.EE.A.2

Front

What is the general form of a quadratic equation?

Back

The general form is ax² + bx + c = 0.

Front

What does it mean to solve a quadratic equation using inverse operations?

Back

It means to perform operations that reverse the effects of the original operations applied to the variable.

Tags

CCSS.HSA-REI.B.4B

Front

What is the purpose of adding or subtracting a constant in solving equations?

Back

To isolate the variable on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

What is the significance of the square root in solving quadratic equations?

Back

It allows us to find the values of x that satisfy the equation when x is squared.

Tags

CCSS.HSA-REI.B.4B

Front

What is the first step in solving a quadratic equation in standard form?

Back

Set the equation equal to zero.

Tags

CCSS.HSA-REI.B.4B