AlgebraEasyEvaluating linear functions
Algebra practice question
The function f is defined by f(x) = 6x − 5. What is the value of f(3)?
- A. 4
- B. 13Correct
- C. 18
- D. 23
Answer: B. 13
Substitute x = 3: f(3) = 6(3) − 5 = 18 − 5 = 13. Choice C (18) forgets to subtract the 5; choice D (23) mistakenly adds 5 instead of subtracting.
Why the other answers are wrong
- A. 4
- You added 6 and 3 instead of multiplying: 6 + 3 − 5 = 4. In 6x, the 6 multiplies x, so it's 6(3) = 18.
- C. 18
- You found 6(3) = 18 but stopped there — the rule subtracts 5, giving 13.
- D. 23
- You added the 5 instead of subtracting it: 18 + 5 = 23, but f(x) = 6x − 5 gives 18 − 5 = 13.
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