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17 questions
1. Which of the following are factors of x2 - 6x + 8 ?
1 , 8
4 , 2
-4 , -2
-1 , -8
2. Which of the following is the standard form of a Quadratic Equation?
(x+2) + (x+3) = 0
2x = 3x2 +5
2x2 + 3x + 5 = 0
-3x2 = 10
3. In completing the square, what is the value of “c” in the equation x2+16x +__ ?
49
16
64
8
4. What is the value of “b” in the equation x2 - 9 = 0 ?
1
0
-9
-1
5. Which of the following is NOT a quadratic equation?
7 + 3d – d 2 = 0
( d – 5 )( d + 6 ) = 0
16 = ( d – 5 )2
2( d – 10 ) = 4d
6. How many real roots does the quadratic equation x2 + 25 = 0 have?
0
1
2
3
7. If the discriminant is equal to 121, then the nature of the roots is ?
imaginary
irrational and unequal
rational and unequal
real and equal
8. Which of the following is NOT a method in solving a quadratic equation?
Factoring
Quadratic Formula
Completing the Square
Discriminant
9. What do you call the graph of quadratic function?
Line
Parabola
Ellipse
Circle
10. What is the sum of the roots of the quadratic equation 2𝑥2 + 12𝑥 − 5 = 0 ?
- 4
- 5
- 6
- 12
11. In the quadratic formula 2a−b±b2−4ac , find the discriminant of x2 − 4x + 4 = 0
0
1
4
-4
12. Which of the following is a mathematical sentence in a Quadratic Inequality?
15 - 2x = 3x2
3(x2 +8) + (x+6) ≥ -4
x2 - 4 < x2 - 2
12 - 5x + x3 ≥ 0
13. If m and n are the roots of the quadratic equation 𝑥2 − 10𝑥 + 9 = 0, then what is the
value of 𝑚𝑛 + 𝑚 + 𝑛 ?
19
- 19
20
- 20
14. Rewrite the function f(x) = 2x2 + 8x + 5 in the form f(x) = a(x – h)2 + k.
𝑓(𝑥) = 2(𝑥 + 2)2 − 3
𝑓(𝑥) = 2(𝑥 + 2)2 + 1
𝑓(𝑥) = (𝑥 + 2)2 − 3
𝑓(𝑥) = (𝑥 + 2)2 + 1
15. What is the standard form of (x - 5) (x + 3) + 9 = -7 ?
2x2 + 2x + 1 = 0
x 2 - 2x + 1 = 0
x 2 - 2x - 15 = 0
x 2 + 3x – 1 = 0
16. If Ramon can clean the garage in 3 hours, but it takes Jane 4 hours to do the same job. How long would it take them to clean the garage if they worked together?
30 minutes
1 hour
1.7 hours
2 hours
17. The area of a rectangular lot is 56m2. If the length is six more than twice the width, what are the dimensions of the rectangle?
l = 6m , w = 2m
l = 4m , w = 12m
l = 12m , w = 6m
l = 14m , w = 4m
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