Quadratic Equations: Completing the Square

Which of the following is NOT a method to solve quadratic equations?

• Completing the square

• Using logarithms

• Using the quadratic formula

• Graphing

What is the first step in creating a perfect square trinomial from x² + 10x?

• Add 10 to both sides

• Take half of the coefficient of x

• Square the constant term

• Divide by 2

If x² + 14x + C is a perfect square trinomial, what is the value of C?

• 28

• 7

• 49

• 196

What operation is used to 'undo' the square in a perfect square trinomial?

• Square root

• Subtraction

• Addition

• Multiplication

When solving x² + 10x + 25 = 36, what are the possible values of x?

• 11 and -1

• 5 and -5

• 6 and -6

• 1 and -11

In the equation x² + 8x = 9, what value should be added to both sides to complete the square?

• 25

• 16

• 8

• 4

What is the first step when dealing with a quadratic equation with a coefficient in front of x²?

• Add the coefficient to both sides

• Divide all terms by the coefficient

• Subtract the coefficient from both sides

• Multiply all terms by the coefficient

For the equation 2x² + 12x + 18 = 0, what is the greatest common factor that can be factored out?

• 2

• 6

• 12

• 3

If x² - 4x + 4 = 0, what are the solutions for x?

• 0 and 4

• 2 and 2

• 4 and -4

• 2 and -2

What is the approximate decimal value of 2 + √7?

• 5.00

• 6.28

• 3.14

• 4.65