2. Which of the following is a quadratic equation?
B. Linear Inequality C. Quadratic Equation D. Quadratic Inequality
A 21² +41 - 1
B. 3t - 7 = 2
3. In the quadratic equation 37 + 7x - 4 = 0, which is the quadratic term?
C.S2 + 5s -4 = 0
D. 2x? - 7 x > 3
B. 7x
C. 3x²
D-4
4 Which of the following equation is NOT a quadratic equation?
A 2x + 5x - 3 = 0 B. 3x (X-2) = 10 C. (2x + 5) (X-1) = -6 D. 2x+X+2=0
5 In a quadratic equation 3r + TX-4 = 0, what is the value of a?
B 3x
C. 7
D-4
6 Reter the equation in no 5 which is the linear term?
В 7х
C. 3x2
D. 4
7. Which of the following quadratic equation is wnitten in standard form?
A 3X- 2x² = 7
B - 2x² - 7=-3x C-2x2 - 7 + 3x = 0
D. -2x2 + 3x - 7 = 0
8 Write (x+3)(x+4)= 0 in standard form of a quadratic equation.
A 2 + 3x + 4
B x² + 6x + 12
C. x² + 7x + 12
D. x2 + x + 12
9. Which of the following quadratic equation is in a form ax2 + c = 0?
A. 2x + 3x = 0 B 2r = 3x
C. 2x2 + 3 = 5
D 2x2 + 3x + 0
10 Factor r + x = 0
A 7.0
B-70
C 7.1
D. -7, -1
11. Factor. n + 7 + 15 = 5
A 5.2
B-52
C. 5 -2
D.-5, -2
12. Which of the following equations may be solved easily by factoring?
A. 2r² = 7²
B. w ² - 64 = 0
Ct2 + 12t + 36 = 0 D. 252 +85 - 10 = 0
13. The roots of a quadratic equation are -5 and 3. Which of the following quadratic equations has these roots?
AX - 8x + 15 = 0 Br? - 2x - 15 = 0 C. x2 + 8x + 15 = 0 D. x2 + 2x - 15 = 0
14. How many real roots does a quadratic equation x2 +5x+7=0 have?
A. O
B.1
C. 2
D3
15. Which of the following values of x make the equation X2+7X-18=0 true?
1-9
Il 2
III. 9
A. I & li
Bli & lii
C.I & lii
D. 1, li, li
16. The roots are -1 and -8. which of the following equations has these roots?
A X + 9x = -8
BXP + 7x = 0
C. t + 8t + 16 = 0
D. h2 + 6h = 16
17 Extract (25 - 1) = 225
A. 8.-7
B.-8.7
C. -8,-
D. 8,7
13 Rey has an assignment, he needs to solve this equation by factoring: x2 + 9x = -8. What must he do? Arrange
the given below and choose the best answer.
2. (+ 1) = 0; (x + 8) = 0
1. + 9x +8.
4. x = -1; x = -8.
3. (x + 1)(x + 8) = 0.
B. 1-3-2-4
A 1-2-3-4
C. 1-2-4-3
D. 4-3-2-1
to make it a perfect square
19. What must be the number that should be added to make the equation x2 + 2x
trinomial?
B 4
C.6
A. 2
D 8
20 Solve by completing the square: 2x + 8x - 10 = 0 What are the roots?
B. -1.5
C.1.-5
A. 1,5
D. -1,-5
Answers
Answer:
The quadratic equation has degree
(a) 0
(b) 1
(c) 2
(d) 3
Answer/Explanation
Answer: c
Explaination:Reason: A quadratic equation has degree 2.
3. The cubic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
Answer/Explanation
Answer: c
Explaination:Reason: A cubic equation has degree 3.
4. A bi-quadratic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
Answer/Explanation
Answer: d
Explaination:Reason: A bi-quadratic equation has degree 4.
5. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is
(a) linear equation
(b) quadratic equation
(c) cubic equation
(d) bi-quadratic equation
Answer/Explanation
Answer: a
Explaination:Reason: We have x(x + 1) + 8 = (x + 2) (x – 2)
⇒ x² + x + 8 = x² – 4
⇒ x² + x + 8- x² + 4 = 0
⇒ x + 12 = 0, which is a linear equation.
6. The equation (x – 2)² + 1 = 2x – 3 is a
(a) linear equation
(b) quadratic equation
(c) cubic equation
(d) bi-quadratic equation
Answer/Explanation
Answer: b
Explaination:Reason: We have (x – 2)² + 1 = 2x – 3
⇒ x² + 4 – 2 × x × 2 + 1 = 2x – 3
⇒ x² – 4x + 5 – 2x + 3 = 0
∴ x² – 6x + 8 = 0, which is a quadratic equation.
In algebra, a quadratic equation is any equation that can be rearranged in standard form as ax²+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax² term.
2) As none of the equations mentioned has a quadratic term, there is no quadratic equation.
A is a number and B is a linear equation.
3) The quadratic term is represent by the formula ax² where a≠0.
∴ (C) 3x²
4) As per the definition mentioned in question (2), A and D are NOT quadratic equations.
5) Comparing with ax² + bx + c = 0;
a = 3
∴ (B)
6) Comparing with ax² + bx + c = 0;
Bx is the linear term.
∴ (B) 7x is the linear term
7) Comparing with ax² + bx + c = 0;
-2x² + 3x - 7 = 0
∴ (D) is written in standard form
8) (x+3)(x+4)
Multiplying,
x² + 7x + 12
∴ (C)
9) 2x² + 3 =5 is in the form ax² + c = 0
∴ (C)