Q.1 Solve for x: 2x + 5 = 15
x = 5
x = 10
x = 20
x = -5
Explanation - Subtracting 5 from both sides gives 2x = 10, dividing by 2 gives x = 5.
Correct answer is: x = 5
Q.2 Solve for y: 3y - 7 = 11
y = 6
y = 7
y = 5
y = -6
Explanation - Adding 7 to both sides gives 3y = 18, dividing by 3 gives y = 6.
Correct answer is: y = 6
Q.3 Find x: 5x = 45
x = 5
x = 9
x = 10
x = -9
Explanation - Divide both sides by 5 to get x = 45 ÷ 5 = 9.
Correct answer is: x = 9
Q.4 Solve: 7x + 3 = 31
x = 3
x = 4
x = 5
x = 6
Explanation - Subtract 3 from both sides: 7x = 28, dividing by 7 gives x = 4.
Correct answer is: x = 4
Q.5 Find x: x/4 = 8
x = 2
x = 12
x = 16
x = 32
Explanation - Multiply both sides by 4 to get x = 32.
Correct answer is: x = 32
Q.6 Solve: 4x - 12 = 8
x = 3
x = 4
x = 5
x = 6
Explanation - Add 12 to both sides: 4x = 20, dividing by 4 gives x = 5.
Correct answer is: x = 5
Q.7 Find x: 2x + 3 = 2x + 7
No solution
x = 2
x = 3
Infinite solutions
Explanation - Subtracting 2x from both sides gives 3 = 7, which is false. Hence, no solution exists.
Correct answer is: No solution
Q.8 Solve for m: 9m = 72
m = 7
m = 8
m = 9
m = 10
Explanation - Dividing both sides by 9 gives m = 72 ÷ 9 = 8.
Correct answer is: m = 8
Q.9 Find x: 12 - x = 7
x = 5
x = 7
x = -5
x = 12
Explanation - Subtract 7 from 12 to get x = 5.
Correct answer is: x = 5
Q.10 Solve: 10x - 15 = 25
x = 2
x = 3
x = 4
x = 5
Explanation - Add 15 to both sides: 10x = 40, dividing by 10 gives x = 4.
Correct answer is: x = 4
Q.11 Find y: (y/5) + 2 = 6
y = 10
y = 15
y = 20
y = 25
Explanation - Subtract 2 from both sides: y/5 = 4, multiplying by 5 gives y = 20.
Correct answer is: y = 20
Q.12 Solve for x: 3(x - 4) = 12
x = 6
x = 7
x = 8
x = 9
Explanation - Divide both sides by 3: x - 4 = 4, then add 4 to get x = 8.
Correct answer is: x = 8
Q.13 Find value of a: 2a + 9 = 19
a = 3
a = 4
a = 5
a = 6
Explanation - Subtract 9 from both sides: 2a = 10, dividing by 2 gives a = 5.
Correct answer is: a = 5
Q.14 Solve: 6x = 4x + 10
x = 2
x = 4
x = 5
x = 10
Explanation - Subtract 4x from both sides: 2x = 10, divide by 2 gives x = 5.
Correct answer is: x = 5
Q.15 Find p: 7p + 2 = 23
p = 2
p = 3
p = 4
p = 5
Explanation - Subtract 2: 7p = 21, dividing by 7 gives p = 3.
Correct answer is: p = 3
Q.16 Solve: 2(x + 3) = 14
x = 4
x = 5
x = 6
x = 7
Explanation - Divide both sides by 2: x + 3 = 7, subtracting 3 gives x = 4.
Correct answer is: x = 4
Q.17 Find x: 15 = 2x + 5
x = 3
x = 4
x = 5
x = 6
Explanation - Subtract 5 from both sides: 10 = 2x, dividing by 2 gives x = 5.
Correct answer is: x = 5
Q.18 Solve for z: 4z - 8 = 0
z = -2
z = 0
z = 2
z = 4
Explanation - Add 8 to both sides: 4z = 8, dividing by 4 gives z = 2.
Correct answer is: z = 2
Q.19 Solve: 2x + 5 = 2x + 5
x = 0
x = 5
Infinite solutions
No solution
Explanation - Both sides are equal for all values of x, hence infinite solutions.
Correct answer is: Infinite solutions
Q.20 Find x: 5x - 3 = 22
x = 4
x = 5
x = 6
x = 7
Explanation - Add 3: 5x = 25, divide by 5 gives x = 5.
Correct answer is: x = 5
Q.21 Solve: (x/2) + 7 = 12
x = 5
x = 8
x = 10
x = 12
Explanation - Subtract 7: x/2 = 5, multiply by 2 gives x = 10.
Correct answer is: x = 10
Q.22 Find y: 3(y - 2) = 12
y = 4
y = 5
y = 6
y = 7
Explanation - Divide both sides by 3: y - 2 = 4, then add 2 gives y = 6.
Correct answer is: y = 6
Q.23 Solve: 8x + 10 = 50
x = 4
x = 5
x = 6
x = 7
Explanation - Subtract 10: 8x = 40, dividing by 8 gives x = 5.
Correct answer is: x = 5
Q.24 Find n: n/3 = 15
n = 3
n = 15
n = 30
n = 45
Explanation - Multiply both sides by 3 to get n = 45.
Correct answer is: n = 45
Q.25 Solve: 2x - 3 = x + 4
x = 5
x = 6
x = 7
x = 8
Explanation - Subtract x from both sides: x - 3 = 4, then add 3 to get x = 7.
Correct answer is: x = 7