Q.1 If 3x + 5 = 20, find the value of x.
5
10
15
20
Explanation - Subtract 5 from both sides: 3x = 15, then divide by 3 to get x = 5.
Correct answer is: 5
Q.2 Solve for x: 5x - 7 = 3x + 9.
x = 8
x = 16
x = -8
x = 2
Explanation - Simplify: 5x - 3x = 9 + 7 → 2x = 16 → x = 8.
Correct answer is: x = 8
Q.3 The roots of x² - 9 = 0 are:
±3
3 only
-3 only
0
Explanation - x² = 9 ⇒ x = ±3.
Correct answer is: ±3
Q.4 If 2x + 3y = 12 and x = 3, find y.
2
3
4
6
Explanation - Substitute x = 3 → 6 + 3y = 12 → 3y = 6 → y = 3.
Correct answer is: 3
Q.5 What are the roots of the equation x² + 2x - 15 = 0?
3, -5
-3, 5
1, -15
-1, 15
Explanation - Factorize: (x + 5)(x - 3) = 0 ⇒ x = 3 or -5.
Correct answer is: 3, -5
Q.6 If 7x = 35, then x equals:
3
4
5
6
Explanation - Divide both sides by 7 → x = 5.
Correct answer is: 5
Q.7 The sum of roots of 2x² + 5x + 3 = 0 is:
-5/2
5/2
-3/2
3/2
Explanation - Sum of roots = -b/a = -5/2.
Correct answer is: -5/2
Q.8 Find the product of roots of 4x² - 7x + 3 = 0.
3/4
7/4
4/3
3/7
Explanation - Product = c/a = 3/4.
Correct answer is: 3/4
Q.9 If one root of x² - 2x + k = 0 is 1, find k.
0
1
2
3
Explanation - Substitute x=1 → 1 - 2 + k = 0 ⇒ k = 1.
Correct answer is: 1
Q.10 Solve for x: 2x + 3 = 7.
x = 2
x = 3
x = 4
x = 5
Explanation - Subtract 3: 2x = 4 ⇒ x = 2.
Correct answer is: x = 2
Q.11 If 3x - 2 = 7, then x equals:
3
4
5
6
Explanation - Add 2 → 3x = 9 ⇒ x = 3.
Correct answer is: 3
Q.12 The discriminant of x² + 4x + 3 = 0 is:
4
8
10
16
Explanation - D = b² - 4ac = 16 - 12 = 4.
Correct answer is: 4
Q.13 If 5x + 2 = 17, find x.
2
3
4
5
Explanation - Subtract 2: 5x = 15 ⇒ x = 3.
Correct answer is: 3
Q.14 Find the roots of x² - 5x + 6 = 0.
2, 3
3, 4
1, 6
4, 6
Explanation - Factorize: (x - 2)(x - 3) = 0 ⇒ x = 2 or 3.
Correct answer is: 2, 3
Q.15 If x + 1/x = 2, then x² + 1/x² equals:
2
3
4
0
Explanation - Square both sides: x² + 1/x² + 2 = 4 ⇒ x² + 1/x² = 2.
Correct answer is: 2
Q.16 Find the value of x: 4x + 9 = 25.
2
3
4
5
Explanation - Subtract 9 → 4x = 16 ⇒ x = 4.
Correct answer is: 4
Q.17 If the roots of ax² + bx + c = 0 are equal, then b² - 4ac = ?
0
1
4ac
b²
Explanation - Equal roots condition: Discriminant = 0.
Correct answer is: 0
Q.18 Find k if one root of 2x² + 3x + k = 0 is -1.
1
2
-2
-1
Explanation - Substitute x = -1 → 2(1) - 3 + k = 0 ⇒ k = 1.
Correct answer is: 1
Q.19 If the sum of roots of 3x² - 7x + 2 = 0 is p, find p.
7/3
-7/3
3/7
-3/7
Explanation - Sum of roots = -b/a = 7/3.
Correct answer is: 7/3
Q.20 Find x if 2x + 4 = 10.
2
3
4
5
Explanation - Subtract 4: 2x = 6 ⇒ x = 3.
Correct answer is: 3
Q.21 If x² = 16, then x = ?
4 only
±4
-4 only
0
Explanation - Taking square root: x = ±4.
Correct answer is: ±4
Q.22 Solve for x: 6x - 2 = 10.
1
2
3
4
Explanation - Add 2 → 6x = 12 ⇒ x = 2.
Correct answer is: 2
Q.23 If one root of x² + px + 16 = 0 is 4, find p.
-8
8
-4
4
Explanation - Substitute x=4 → 16 + 4p + 16 = 0 ⇒ p = -8.
Correct answer is: -8
Q.24 If x + y = 10 and x - y = 2, then x = ?
4
5
6
7
Explanation - Add both equations: 2x = 12 ⇒ x = 6.
Correct answer is: 6
Q.25 If x² - 16 = 0, what are the roots?
±4
4 only
-4 only
±8
Explanation - x² = 16 ⇒ x = ±4.
Correct answer is: ±4