AlgebraVery hardWhich value of a constant gives a specified solution
Algebra practice question
In the equation 5(x − 2) = 3x + k, k is a constant. For which value of k is the solution x = 9?
- A. 8Correct
- B. 35
- C. −8
- D. 2
Answer: A. 8
Substitute x = 9: 5(7) = 27 + k, so 35 = 27 + k and k = 8.
Why the other answers are wrong
- B. 35
- 35 is 5(x − 2) at x = 9, not k.
- C. −8
- −8 has the wrong sign.
- D. 2
- 2 is the constant inside the bracket, not k.
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