I. Direction. Multiple Choice Encircle the letter of the correct answer.
1. The following are examples of quadratic equation EXCEPT:
A x² - 6x + 10 = 0
B. x(x - 1) = 0
C. 2x² - 3x - 9 = 0
D. (x + 1)(x - 2) = 0
2. (2x²) is what kind of term?
A. constant term
B. factor term
C. linear term
D. quadratic term
3. What is the standard form of quadratic equation?
A. ax² + by + c = 0
B. ay² + bx + c = 0
C. ax² + bx + c = 0
D. ax² + by + z = 0
4. To derive the quadratic formula of the standard form of the quadratic equation, what method we are going to use?
A. by completing the square
B. by extracting the square roots
C. by cancellation and cross multiplication
D. by the use of additive inverse
5. If x1 and x2 are the roots of the quadratic equation ax² + bx + C = 0, then (x1 + x2) is
A.
[tex] \frac{b}{c} [/tex]
B.
[tex] \frac{ - b}{a} [/tex]
C.
[tex] \frac{c}{a} [/tex]
D.
[tex] \frac{ - c}{a} [/tex]
6. It is the graph of quadratic equation.
A. ellipse
B. line
C. hyperbola
D. parabola
7. If the quadratic equation is x² - 2x = 10, what is the product of its root?
A. 15
B. 5
C. 10
D. -10
8. Which does not belong to the group? A. x² + 7x - 12 > 0
B. x² - 3x + 2 ≤ 0
C.x² - 6x - 11 ≥ 0
D.x² + 2x + 9 = 0
9. If the quadratic equation is x² - 2x = 10, what is the product of its root?
A. 1
B. 5
C. 2
D. 10
10. Which statement is true?
A when b² - 4ac < 0, equations has no real roots
B. when b² - 4ac = 0, then the roots are real numbers but not equal
C. when b² - 4ac = 0 and a perfect square, then the roots are rational numbers but are not equal
D. when b² - 4ac = 0 and not a perfect square, then the roots are irrational but are equal
11. What is the constant term in the quadratic equation x(x+4) = 5?
A. x²
B. 5x
C. 4x
D. 5
12. What is the best method in solving the roots of x² = 144?
A. by facioring
B. by Completing the Square
C. by Extracting the Square Root
D by using quadratic formula
13. In the equation 3x²-12 = 0, the roots are?
A. 3 and -3
B. 2 and -2
C. 4 and -4
D. 5 and -5
14. The roots of x² + 11x -60 = 0 are?
A. 10 and 6
B. -10 and -6
C. 15 and -4
D. -15 and 4
15. For what value of "m" will the quadratic equation x² - mx + 4 = 0 have real and equal roots.
A. 16
B. 8
C. 2
D. -4
16. If x1 and x2 are the roots of the quadratic equation ax² +bx + c = 0, then (x1 + x2 ) is
A.
[tex] \frac{b}{a} [/tex]
B.
[tex] \frac{c}{a} [/tex]
C.
[tex] \frac{ - b}{a} [/tex]
D.
[tex] \frac{ - c}{a} [/tex]
17. What is the sum of the roots of the quadratic equation 2x² – 3x + 0 = 0 have? A.
[tex] \frac{2}{3} [/tex]
B.
[tex] \frac{9}{2} [/tex]
C.
[tex] \frac{ - 3}{2} [/tex]
D.
[tex] \frac{3}{2} [/tex]
18. If the roots of quadratic equation are 5 and -3, then the quadratic equation is A. x² + 5x - 3 = 0
B. x² - 3x + 5 = 0
C. x² + 2x + 2 = 0
D. x² - 2x - 15 = 0
19. What is the product of the roots of quadratic equation x² + x -56 = 0?
A. 2
B. 1
С. 0
D. 56
20. If the discriminant b² -4ac is great than zreo and it is a perfect square the roots are
A. real number and equal
B. rational and not equal
C. rational and equal
D. irrational and not equal
21. A square picture frame has an area of 100cm². What is the measure of each side of a square?
A.(x + 3)²
B. (x - 3)²
C. (x + 9)²
D. (5x -1)²
23. Which of the following is the quadratic formula?
A.
[tex] \sqrt{a {}^{2} } + b {}^{2} [/tex]
B.
[tex] \sqrt[3]{x + 4ac} [/tex]
C. b² -4ac
D. x=
[tex] \frac{ - b + \sqrt{b {}^{2} } - 4ac }{2a} [/tex]
24. What is the quadratic equation, if the roots are 8 and -3.
A. 3s² - 2s = -5
B. -2r² + r + 7 = 0
C. 2x² + 4x = 3
D. t²- 8t - 4 = 0
26-30. Solve the problem carefully and write your solutions on the number then the result is 36. Find the number.
Representation:

Equation:

Factors:

Roots:
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