If \(p(x)=\frac{x}{6}+a\) and \(p(18)=14\), what is the value of (a)?
Answer and explanation
Correct answer: 11
Given \(p(x)=\frac{x}{6}+a\). Substituting \(x=18\), we get \(p(18)=\frac{18}{6}+a=3+a\). Hence, \(3+a=14\), so \(a=14-3=11\). Option 14 is the given value of \(p(18)\), not the value of \(a\). Exam tip: When a polynomial value is given, first substitute the specified value of \(x\) and form an equation.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
Given \(p(x)=\frac{x}{6}+a\). Substituting \(x=18\), we get \(p(18)=\frac{18}{6}+a=3+a\). Hence, \(3+a=14\), so \(a=14-3=11\). Option 14 is the given value of \(p(18)\), not the value of \(a\). Exam tip: When a polynomial value is given, first substitute the specified value of \(x\) and form an equation.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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