Polynomials and function notation — ISEE Upper practice questions

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.

Section: Mathematics Achievement 47 questions on the paper
114 practice questions in the app

Sample questions

Question 1

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

Show answer

Answer: B — 3

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

Question 2

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

A $x^2+3$
B $2x+3$
C $x^2+3x$
D $3x$

Show answer

Answer: C — $x^2+3x$

Multiply length by width.

Question 3

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

Show answer

Answer: C — 17

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

Practice 114 Polynomials and function notation questions in the app

Polynomials and function notation — ISEE Upper practice questions

Sample questions

More ISEE Upper topics

Mathematics Achievement