SHSAT Math · Algebra

Functions & Sequences Practice

Function notation, sequences, and patterns. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

What is the next term in the sequence

8,\ 10,\ 12,\ 14,\ \ldots

A $17$
B $16$
C $18$
D $14$

Show answer and explanation

Answer: B

Each term increases by

2

(

10 - 8 = 2

), so the next term is

14 + 2 = 16

Question 2

What is the next term in the sequence

4,\ 2,\ 0,\ -2,\ \ldots

A $-6$
B $-2$
C $-5$
D $-4$

Show answer and explanation

Answer: D

Each term increases by

-2

(

2 - 4 = -2

), so the next term is

-2 - 2 = -4

Question 3

f(x) = \frac{2x + 3}{x - 1}

, find the value of

x

where

f(x) = 5

A $x = \frac{8}{3}$
B $x = 2$
C $x = 4$
D $x = \frac{5}{3}$

Show answer and explanation

Answer: A

\frac{2x + 3}{x - 1} = 5 \Rightarrow 2x + 3 = 5(x - 1) \Rightarrow 2x + 3 = 5x - 5 \Rightarrow 8 = 3x \Rightarrow x = \frac{8}{3}

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Functions & Sequences Practice

Free sample questions

Practice every functions & sequences question we have

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