Question 1

What is the purpose of completing the square in algebra 1?

Accepted Answer

To rewrite a quadratic equation in vertex form

Answer

To find the x-intercepts of a quadratic equation

Answer

To solve a linear equation

Answer

To factor a quadratic equation

Question 2

How do you complete the square for the quadratic equation: x^2 + 6x - 8 = 0?

Accepted Answer

Add (6/2)^2 = 9 to both sides of the equation

Answer

Factor out the coefficient of the quadratic term

Answer

Subtract (6/2)^2 = 9 from both sides of the equation

Answer

Multiply both sides of the equation by the coefficient of the quadratic term

Question 3

Which step is performed first when completing the square?

Accepted Answer

Move the constant term to the right side of the equation

Answer

Square the coefficient of the linear term

Answer

Divide all terms by the coefficient of the quadratic term

Answer

Factor the quadratic equation

Question 4

What is the vertex form of the quadratic equation y = x^2 + 4x + 3?

Accepted Answer

y = (x + 2)^2 - 1

Answer

y = (x - 4)^2 + 3

Answer

y = (x - 2)^2 + 1

Answer

y = (x + 4)^2 - 3

Question 5

Which expression is the perfect square trinomial (a binomial squared) equivalent to x^2 + 10x + 25?

Accepted Answer

(x + 5)^2

Answer

(x + 7)^2

Answer

(x + 2)^2

Answer

(x + 4)^2

Question 6

What is the general form of a quadratic equation?

Accepted Answer

ax^2 + bx + c = 0

Answer

x^2 + 2x + 3 = 0

Answer

3x^2 + 2x + 1 = 0

Answer

x^2 + x + 1 = 0

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