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- 1. Multiple Choice
It is a polynomial equation of degree two that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
Linear Equation
Quadratic Equation
Linear Inequality
Quadratic Inequality
- 2. Multiple Choice
Which of the following is a quadratic equation?
3x2 + 5r – 1
x2 + 4x - 6 = 0
5t – 8 = 9
4x2 – 6x ≤ 2
- 3. Multiple Choice
What is the numerical coefficient of b in the quadratic equation 3x2 + 5x - 10 = 0?
-5x
-5
5x
5
- 4. Multiple Choice
What is another word for solutions of quadratic equation?
y-intercepts
roots
vertex
axis of symmetry
- 5. Multiple Choice
What number must be added to x2 - 8x to make it a perfect square trinomial?
4
9
16
64
- 6. Multiple Choice
In the equation x2 +5x +7= 0, match each leading coefficient with its correct letter for a, b and c.
a=0, b=5, c=7
a=1, b=5, c=7
a=7, b=5, c=1
a=1, b=-5, c=7
- 7. Multiple Choice
What do you call b2-4ac?
roots
equation
discriminant
quadratic formula
- 8. Multiple Choice
What is the sum of the roots of the quadratic equation
x2 + 6x − 14 = 0?
-7
-6
6
14
- 9. Multiple Choice
What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?
The roots are not real
The roots are rational and not equal.
The roots are irrational and not equal.
The roots are rational and equal.
- 10. Multiple Choice
What is 2x ( x - 6) = 10 in standard form of quadratic equation?
2x2 + 2x +10=0
2x2 +2x = 10
2x2 – 12x -10 = 0
2x2 +12x = 10
- 11. Multiple Choice
What is the standard form of the quadratic equation
3x(x – 3) = 7?
3x2 – 9x = 7
3x2 = – 9x + 7
3x2 – 9x = – 7
3x2 – 9x - 7 = 0
- 12. Multiple Choice
The sum between a number and its reciprocal is 2, what is the mathematical statement for this?
x +1/x = 2
x2 +1/x = 2
x +1/x + 2
x +1/x = -2
- 13. Multiple Choice
In the given equation, what is the LCD?
x
2
6x
12x
- 14. Multiple Choice
The square of a number plus eight times the number, the sum is twenty. What is the mathematical statement ?
x2 + 8x = 20
x2 - 8x = 20
x2 - 8x = -20
x2 +8x = -20
- 15. Multiple Choice
What is the first step to transform rational equation to quadratic equation ?
Multiply both sides of the equation by the LCD
Write the resulting quadratic equation in standard form
Solve the resulting quadratic equation using any methods
check the obtained values by substituting in the original equation
- 16. Multiple Choice
In the equation x2 + 16 = 0, what is the value of b?
0
1
4
16
- 17. Multiple Choice
What is the practical way to solve x2 = 36 ?
factoring
quadratic formula
completing the square
extracting the square root
- 18. Multiple Choice
W hat are the roots for (x+2)(x-4)=0
x= -2 and -4
x= 2, and 4
x=-2, and 4
x=2, and 4
- 19. Multiple Choice
What is the product of the roots for the equation
x2 + 5x + 6 = 0
1
5
6
25
- 20. Multiple Choice
Describe the roots for the equation x2 + 5x + 6 = 0.
real and equal roots
real and not equal roots
not real and equal roots
no real roots
- 21. Multiple Choice
Which of the following rational algebraic equations is transformable to a quadratic equation?
A
B
C
D
- 22. Multiple Choice
Which of the following is the quadratic transformation of the equation:
3x2 − 5x = 0
3x2 + 6x = 0
3x2 − 5x +1 = 0
3x2 + 6x +1 = 0
- 23. Multiple Choice
If the square of a number is added to twice the number, the sum is 15. What are the numbers?
-5 and -3
-5 and 3
5 and -3
5 and 3
- 24. Multiple Choice
What are the roots of the 3x2 – 10x + 3 = 0 ?
-1/3 and -3
-1/3 and 3
1/3 and -3
1/3 and 3
- 25. Multiple Choice
The owner of one of the Xentro mall put a billboard in front of his store having a length of 6m longer than its width and an area of 40 square meters. What are the width and length of the billboard?
-4 and -10
-4 and 10
4 and -10
4 and 10
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