Q.1 If 3x + 5 = 20, what is the value of x?
3
5
15
7
Explanation - 3x + 5 = 20 → 3x = 15 → x = 5
Correct answer is: 5
Q.2 Solve for x: 2x - 7 = 13
10
5
20
12
Explanation - 2x - 7 = 13 → 2x = 20 → x = 10
Correct answer is: 10
Q.3 The sum of two numbers is 30. If one number is 12, find the other number.
18
20
15
12
Explanation - Let the other number be x. 12 + x = 30 → x = 18
Correct answer is: 18
Q.4 Solve for x: x/4 + 3 = 7
16
12
4
10
Explanation - x/4 + 3 = 7 → x/4 = 4 → x = 16
Correct answer is: 16
Q.5 If x^2 = 49, what is x?
7
-7
±7
0
Explanation - x^2 = 49 → x = ±√49 → x = ±7
Correct answer is: ±7
Q.6 Solve for x: 5x + 2 = 3x + 10
4
3
5
6
Explanation - 5x + 2 = 3x + 10 → 2x = 8 → x = 4
Correct answer is: 4
Q.7 The product of two consecutive integers is 56. Find the integers.
7 and 8
6 and 7
8 and 9
5 and 6
Explanation - Let integers be n and n+1 → n(n+1)=56 → n^2+n-56=0 → n=7
Correct answer is: 7 and 8
Q.8 If 2(x + 3) = 14, then x = ?
4
5
3
7
Explanation - 2(x + 3) = 14 → x + 3 = 7 → x = 4
Correct answer is: 4
Q.9 Solve: 3x - 2 = 4x + 5
-7
7
3
-3
Explanation - 3x - 2 = 4x + 5 → -x = 7 → x = -7
Correct answer is: -7
Q.10 If x + y = 10 and x - y = 4, find x.
7
6
8
5
Explanation - x + y = 10, x - y = 4 → Add: 2x = 14 → x = 7
Correct answer is: 7
Q.11 Solve for x: x^2 - 16 = 0
4
-4
±4
0
Explanation - x^2 - 16 = 0 → x^2 = 16 → x = ±4
Correct answer is: ±4
Q.12 If 7x = 21, then x = ?
2
3
4
5
Explanation - 7x = 21 → x = 21/7 → x = 3
Correct answer is: 3
Q.13 The sum of squares of two consecutive integers is 85. Find the integers.
6 and 7
5 and 6
7 and 8
8 and 9
Explanation - Let integers n, n+1 → n^2 + (n+1)^2 = 85 → n^2 + n^2 + 2n +1=85 → 2n^2+2n-84=0 → n=6
Correct answer is: 6 and 7
Q.14 Solve for x: 2x + 5 = 17
5
6
7
8
Explanation - 2x + 5 = 17 → 2x = 12 → x = 6
Correct answer is: 6
Q.15 If x - 4 = 10, find x.
14
6
10
12
Explanation - x - 4 = 10 → x = 14
Correct answer is: 14
Q.16 Solve for x: 4x + 3 = 19
4
5
6
7
Explanation - 4x + 3 = 19 → 4x = 16 → x = 4
Correct answer is: 4
Q.17 If 5x - 3 = 2x + 6, then x = ?
3
2
1
4
Explanation - 5x - 3 = 2x + 6 → 3x = 9 → x = 3
Correct answer is: 3
Q.18 Solve: 6x - 7 = 5x + 8
15
10
12
8
Explanation - 6x - 7 = 5x + 8 → x = 15
Correct answer is: 15
Q.19 If x/3 + 2 = 5, find x.
9
6
12
8
Explanation - x/3 + 2 = 5 → x/3 = 3 → x = 9
Correct answer is: 9
Q.20 Solve: x^2 + 6x + 9 = 0
-3
3
0
±3
Explanation - x^2 + 6x + 9 = 0 → (x+3)^2=0 → x=-3
Correct answer is: -3
Q.21 If 2x + y = 12 and x = 3, find y.
4
6
5
3
Explanation - 2(3) + y = 12 → 6 + y = 12 → y = 6
Correct answer is: 6
Q.22 Solve for x: x^2 - 9x + 18 = 0
3 and 6
2 and 9
6 and 3
1 and 18
Explanation - x^2 - 9x + 18 = 0 → (x-3)(x-6)=0 → x=3 or x=6
Correct answer is: 3 and 6
Q.23 If x + 2y = 14 and y = 4, find x.
6
4
5
8
Explanation - x + 2*4 = 14 → x + 8 = 14 → x = 6
Correct answer is: 6
Q.24 Solve: 3x^2 - 12 = 0
2
-2
±2
4
Explanation - 3x^2 - 12 = 0 → 3x^2 = 12 → x^2 = 4 → x = ±2
Correct answer is: ±2