| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 9 |
| What topic | solve quadratics by completing the square |
| Question types | Close-ended |
| Number of questions | 5 |
| Number of answers | 5 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Answer the following questions by selecting the correct option for each. Choose one answer from the list provided beneath each question.
What is the first step in completing the square for the quadratic expression (x^2 + 6x)?
A. Divide by 2
B. Add 9
C. Add 6
D. Subtract 6
E. Factor the expression
If you have the equation (x^2 + 8x - 5 = 0), what is the form of the equation after completing the square?
A. ((x + 4)^2 - 21 = 0)
B. ((x + 4)^2 + 21 = 0)
C. ((x - 4)^2 - 21 = 0)
D. ((x + 4)^2 - 9 = 0)
E. ((x - 4)^2 + 9 = 0)
Solve the equation (x^2 - 10x + 16 = 0) by completing the square. What are the roots of the equation?
A. (4) and (6)
B. (2) and (8)
C. (5 + \sqrt{9}) and (5 - \sqrt{9})
D. (3) and (7)
E. (0) and (10)
Which of the following represents the completed square form of the quadratic equation (2x^2 + 8x + 6 = 0)?
A. (2(x + 4)^2 - 2 = 0)
B. (2(x + 2)^2 + 2 = 0)
C. (2(x - 4)^2 + 2 = 0)
D. (2(x - 2)^2 - 2 = 0)
E. (2(x + 4)^2 + 2 = 0)
What is the final value of (x) when you solve the equation (x^2 + 12x + 35 = 0) by completing the square?
A. (-5) and (-7)
B. (-10) and (-3)
C. (-6) and (5)
D. (-12) and (0)
E. (-17) and (5)