1.
What is the solution to the equation: 2x + 5 = 15?
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.
2.
Solve for x: 3x - 4 = 11.
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.
3.
What is the value of x in the equation: 5x = 25?
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.
4.
Solve for x: 7x + 6 = 34.
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.
5.
What is the value of x in the equation: 4x - 3 = 9?
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.
6.
Solve for x: 6x - 2 = 16.
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.
7.
What is the solution to the equation: 3x + 4 = 19?
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.
8.
Solve for x: 9x - 5 = 40.
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.
9.
What is the solution for x in: 2x + 7 = 17?
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.
10.
Solve for x: 4x - 6 = 18.
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.