Math · worksheet

    SAT Nonlinear Functions Worksheet

    Nonlinear function questions — especially quadratics and exponentials — appear at the top of the hard Module 2. You need to be able to factor, complete the square, use the vertex form, and interpret growth or decay rates. This worksheet page turns that skill into a focused review asset: what to know, what to practice, and what to check before moving on.

    What this worksheet covers

    Nonlinear Functions belongs to the Advanced Math domain on the Digital SAT Math section.

    Use this as a one-skill worksheet before timed modules. The goal is not just to get questions right, but to recognize the pattern quickly under SAT timing.

    • Official skill: Nonlinear functions
    • Section: Math
    • Domain: Advanced Math
    • Best use: focused drill session before a timed module

    Rules to remember

    Before drilling this skill, memorize the core rules below and keep them next to your scratch work.

    • Memorize the vertex form: y = a(x − h)² + k lets you read the vertex directly.
    • For exponential growth, identify the initial value and the growth/decay factor.
    • Factor quickly: if a quadratic has ac with integer factor pairs, it factors.

    Practice routine

    Start untimed until you can explain the pattern. Then switch to timed sets so the skill holds up inside a full module.

    • Do 10 warmup questions and write down every mistake type.
    • Do 20 timed questions from the same skill.
    • Review missed questions without looking at the explanation first.
    • Repeat the misses 48 hours later to confirm the fix stuck.

    Practice on 1600.now

    FAQs

    How do I practice SAT nonlinear functions?

    Drill nonlinear functions as its own skill first, then mix it into timed modules. Isolated practice builds the pattern; timed modules prove you can use it under pressure.

    Is nonlinear functions important on the Digital SAT?

    Yes. It is part of the official Advanced Math domain for the SAT Math section, so it can appear on real test forms.

    Should I review explanations after every question?

    Review every missed or guessed question. Correct guesses still hide weak reasoning, and weak reasoning becomes expensive on hard Module 2.

    Related resources

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