Study on the flyISEE UpperMathematics AchievementPolynomials and function notation

Mathematics Achievement

Polynomials and function notation — ISEE Upper practice questions

  • 47 questions on the paper
  • 114 practice questions in the app
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What this topic is

Polynomials and function notation on the ISEE Upper Mathematics Achievement section covers evaluating polynomial expressions, using f(x) notation, and combining terms.

A student must substitute into a function and solve for x, multiply expressions for area, and find a missing term in a sequence whose differences grow. Items are short multiple-choice stems with four answer choices that look like integers or simplified polynomials.

Common traps are swapping input and output, adding length and width instead of multiplying, and treating a quadratic pattern as an arithmetic sequence.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

If f(x)=x2+2f(x)=x^2+2, which of the following is a value of xx for which f(x)=11f(x)=11?

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Answer: B — 3

x2+2=11x^2+2=11 gives x2=9x^2=9, so x=±3x=\pm 3. Of the choices, 3 is listed.

Question 2Easier

A rectangle has length x+3x+3 and width xx. What is its area?

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Answer: C — x2+3xx^2+3x

Multiply length by width.

Question 3Mid

One term is missing from the sequence 5,7,11,?,255, 7, 11, ?, 25. What is the missing term?

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Answer: C — 17

The amounts added are consecutive even numbers: 2,4,6,2, 4, 6, and 8. Thus, the missing term is 11+6=1711+6=17.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 114 Polynomials and function notation questions in the app

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