Linear Equation In One Variable Quiz: Test Your Skills

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Hansika

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Quizzes Created: 231 | Total Attempts: 17,905

Questions: 10 | Attempts: 157 | Updated: Jan 28, 2025

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Linear Equation in One Variable Questions and Answers

1.

What is the solution to the equation: 2x + 5 = 15?
- A.
  
  5
- B.
  
  10
- C.
  
  7
- D.
  
  8
Correct Answer
A. 5

Explanation
Start by solving the equation 2x + 5 = 15. First, subtract 5 from both sides of the equation. This leaves 2x = 10. Now, divide both sides by 2 to isolate x. This gives x = 10 ÷ 2, so x = 5. To check the solution, substitute x = 5 back into the original equation: 2(5) + 5 = 15. This simplifies to 10 + 5 = 15, which is correct. Therefore, the solution is verified, and x = 5 is the correct answer.

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2.

Solve for x: 3x - 4 = 11.
- A.
  
  X = 5
- B.
  
  X = 3
- C.
  
  X = 4
- D.
  
  X = 6
Correct Answer
A. X = 5

Explanation
The equation to solve is 3x - 4 = 11. Start by adding 4 to both sides to move the constant term. This gives 3x = 15. Next, divide both sides of the equation by 3 to solve for x. This results in x = 15 ÷ 3, so x = 5. To verify, substitute x = 5 into the original equation: 3(5) - 4 = 11, which simplifies to 15 - 4 = 11. The solution is correct, confirming x = 5 as the right answer.

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3.

What is the value of x in the equation: 5x = 25?
- A.
  
  5
- B.
  
  25
- C.
  
  1
- D.
  
  2
Correct Answer
A. 5

Explanation
To solve 5x = 25, divide both sides of the equation by 5. This gives x = 25 ÷ 5, so x = 5. To check the solution, substitute x = 5 into the original equation: 5(5) = 25, which simplifies to 25 = 25. This is correct, so x = 5 is the right solution.

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4.

Solve for x: 7x + 6 = 34.
- A.
  
  X = 6
- B.
  
  X = 4
- C.
  
  X = 5
- D.
  
  X = 3
Correct Answer
B. X = 4

Explanation
Begin with the equation 7x + 6 = 34. Subtract 6 from both sides to get 7x = 28. Then divide both sides by 7 to isolate x. This gives x = 28 ÷ 7, so x = 4. Check by substituting x = 4 into the original equation: 7(4) + 6 = 34, which simplifies to 28 + 6 = 34. The solution is correct, so x = 4 is the correct answer.

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5.

What is the value of x in the equation: 4x - 3 = 9?
- A.
  
  X = 2
- B.
  
  X = 1
- C.
  
  X = 3
- D.
  
  X = 5
Correct Answer
C. X = 3

Explanation
For the equation 4x - 3 = 9, first add 3 to both sides to get 4x = 12. Then, divide both sides by 4 to solve for x. This gives x = 12 ÷ 4, so x = 3. To verify, substitute x = 3 into the original equation: 4(3) - 3 = 9, which simplifies to 12 - 3 = 9. The solution is correct, so x = 3 is the correct answer.

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6.

Solve for x: 6x - 2 = 16.
- A.
  
  X = 3
- B.
  
  X = 2
- C.
  
  X = 4
- D.
  
  X = 5
Correct Answer
A. X = 3

Explanation
The equation is 6x - 2 = 16. Add 2 to both sides to get 6x = 18. Then, divide both sides by 6 to isolate x. This gives x = 18 ÷ 6, so x = 3. To verify, substitute x = 3 into the original equation: 6(3) - 2 = 16, which simplifies to 18 - 2 = 16. The solution is correct, confirming x = 3 is the correct answer.

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7.

What is the solution to the equation: 3x + 4 = 19?
- A.
  
  X = 5
- B.
  
  X = 4
- C.
  
  X = 7
- D.
  
  X = 3
Correct Answer
A. X = 5

Explanation
Start with the equation 3x + 4 = 19. Subtract 4 from both sides to get 3x = 15. Then divide both sides by 3 to isolate x. This gives x = 15 ÷ 3, so x = 5. To verify, substitute x = 5 into the original equation: 3(5) + 4 = 19, which simplifies to 15 + 4 = 19.The solution is correct, confirming x = 5 is the correct answer.

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8.

Solve for x: 9x - 5 = 40.
- A.
  
  X = 6
- B.
  
  X = 5
- C.
  
  X = 7
- D.
  
  X = 8
Correct Answer
B. X = 5

Explanation
The equation is 9x - 5 = 40. Start by adding 5 to both sides to get 9x = 45. Then, divide both sides by 9 to isolate x. This gives x = 45 ÷ 9, so x = 5. To verify, substitute x = 5 into the original equation: 9(5) - 5 = 40, which simplifies to 45 - 5 = 40. The solution is correct, confirming x = 5 is the right answer.

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9.

What is the solution for x in: 2x + 7 = 17?
- A.
  
  X = 5
- B.
  
  X = 4
- C.
  
  X = 6
- D.
  
  X = 3
Correct Answer
A. X = 5

Explanation
To solve 2x + 7 = 17, subtract 7 from both sides to get 2x = 10. Then, divide both sides by 2 to isolate x. This gives x = 10 ÷ 2, so x = 5. To check the solution, substitute x = 5 into the original equation: 2(5) + 7 = 17, which simplifies to 10 + 7 = 17. This confirms x = 5 is correct.

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10.

Solve for x: 4x - 6 = 18.
- A.
  
  X = 6
- B.
  
  X = 5
- C.
  
  X = 4
- D.
  
  X = 3
Correct Answer
A. X = 6

Explanation
The equation to solve is 4x - 6 = 18. First, add 6 to both sides to get 4x = 24. Then, divide both sides by 4 to solve for x. This gives x = 24 ÷ 4, so x = 6. To check the solution, substitute x = 6 into the original equation: 4(6) - 6 = 18, which simplifies to 24 - 6 = 18. The solution is correct, confirming x = 6 is the right answer.

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Current Version
Jan 28, 2025

Quiz Edited by
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Jan 27, 2025

Quiz Created by
Hansika

Linear Equation in One Variable Quiz: Test Your Skills

Linear Equation in One Variable Questions and Answers

What is the solution to the equation: 2x + 5 = 15?

Solve for x: 3x - 4 = 11.

What is the value of x in the equation: 5x = 25?

Solve for x: 7x + 6 = 34.

What is the value of x in the equation: 4x - 3 = 9?

Solve for x: 6x - 2 = 16.

What is the solution to the equation: 3x + 4 = 19?

Solve for x: 9x - 5 = 40.

What is the solution for x in: 2x + 7 = 17?

Solve for x: 4x - 6 = 18.