Online Test — Linear Equations
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
Solve: \(x + 5 = 12\)
\(x = 5\)
\(x = 7\)
\(x = 12\)
\(x = 17\)
Explanation: Subtract 5 from both sides: \(12-5=7\)
Question 2 of 10
Solve: \(4x - 3 = 13\)
\(x = 2.5\)
\(x = 4\)
\(x = 5\)
\(x = 2\)
Explanation: Add 3: \(4x=16\), divide by 4: \(x=4\)
Question 3 of 10
Solve: \(5x + 2 = 3x + 10\)
\(x = 2\)
\(x = 4\)
\(x = 6\)
\(x = 8\)
Explanation: Subtract \(3x\): \(2x+2=10\); subtract 2: \(2x=8\); \(x=4\)
Question 4 of 10
Solve: \(\frac{x}{3} + \frac{x}{4} = 7\)
\(x = 8\)
\(x = 10\)
\(x = 12\)
\(x = 14\)
Explanation: LCM=12: \(4x+3x=84\); \(7x=84\); \(x=12\)
Question 5 of 10
Three consecutive integers sum to 48. Find the middle integer.
15
16
17
18
Explanation: \(n+(n+1)+(n+2)=48\); \(3n+3=48\); \(3n=45\); \(n=15\); middle=16
Question 6 of 10
Solve: \(2x - 5 = x + 3\)
\(x = 2\)
\(x = 8\)
\(x = 6\)
\(x = 5\)
Explanation: Subtract \(x\): \(x-5=3\); add 5: \(x=8\)
Question 7 of 10
Solve the simultaneous equations: \(x + y = 10\), \(x - y = 2\)
\(x=6, y=4\)
\(x=5, y=5\)
\(x=8, y=2\)
\(x=7, y=3\)
Explanation: Add: \(2x=12\) → \(x=6\); then \(6+y=10\) → \(y=4\)
Question 8 of 10
A number multiplied by 4 and added to 7 gives 31. Find the number.
4
5
6
7
Explanation: \(4x+7=31\); \(4x=24\); \(x=6\)
Question 9 of 10
Solve: \(\frac{x-2}{3} = 4\)
\(x = 10\)
\(x = 12\)
\(x = 14\)
\(x = 16\)
Explanation: Multiply by 3: \(x-2=12\); \(x=14\)
Question 10 of 10
Which method is best when one variable is already isolated?
Elimination
Substitution
Graphical
Cross-multiplication
Explanation: Substitution is ideal when one variable is alone on one side