Completing the Square Quiz

What is the first step in solving a quadratic equation by completing the square?

• Add the same number to both sides

• Take the square root of both sides

• Get the variables on one side and the numbers on the other

• Multiply both sides by the leading coefficient

When completing the square, what do you do with the middle coefficient?

• Multiply it by 2

• Divide it by 2 and square it

• Subtract it from both sides

• Add it to both sides

After completing the square, what is the next step to solve the equation?

• Multiply both sides by the square root

• Take the square root of both sides

• Subtract the square root from both sides

• Add the square root to both sides

How do you handle a quadratic equation with a leading coefficient greater than one?

• Subtract the leading coefficient from both sides

• Divide everything by the leading coefficient

• Multiply everything by the leading coefficient

• Add the leading coefficient to both sides

What is the result of taking half of the middle coefficient and squaring it in the equation 5x^2 - 10x - 15 = 0?

• 1

• 4

• 9

• 25

In the equation x^2 - 2x = 3, what is the value added to both sides to complete the square?

• 4

• 3

• 2

• 1

What is the first step when dealing with a quadratic equation involving fractions?

• Add fractions to both sides

• Divide everything by the leading coefficient

• Multiply everything by the denominator

• Subtract fractions from both sides

In the equation -2x^2 + 5x - 1 = 0, what is the value of the middle coefficient after dividing by -2?

• -2/5

• 2/5

• -5/2

• 5/2

What is the result of squaring half of the middle coefficient in the equation x^2 - 5/2x = -1/2?

• 1/16

• 1/4

• 5/4

• 25/16

What is the final form of the solution for the equation x^2 - 5/2x = -1/2 after completing the square?

• 5/4 ± √18/4

• 5/4 ± √17/4

• 5/4 ± √15/4

• 5/4 ± √16/4