SAT Math Mock Test Exponential & Polynomial Functions
A complete two-module Bluebook-style math practice test. Module 1 covers Exponential Growth & Decay Models; Module 2 covers Polynomial Equations, Graphs & Zeros. Every question is multiple choice, auto-scored instantly, and mapped to the real 200–800 SAT scale.
All questions are multiple choice with 4 answer choices (A–D).
Scroll freely and answer questions in any order — click any number in the navigation strip to jump.
Selecting an answer locks it in immediately: correct answers trigger a confetti celebration; incorrect answers reveal the correct choice and a full explanation.
A short break/intermission screen separates Module 1 and Module 2, just like the real digital SAT.
At the end, you'll get your estimated 200–800 score, a domain breakdown, and a scrollable review of every question you missed.
Skim this before you start, or come back anytime from the results screen.
Exponential Models — Growth & Decay
Standard form: \(y=a\,b^{x}\), where \(a\) is the initial value (at \(x=0\)) and \(b\) is the growth/decay factor.
If a quantity grows by \(r\%\) per period, \(b=1+\frac{r}{100}\). If it decays by \(r\%\), \(b=1-\frac{r}{100}\).
"Increases by 220%" means it becomes \(3.2\times\) as large (\(1+2.2=3.2\)), not \(2.2\times\).
For \(y=ab^{x/k}\), the value of \(b\) is the growth/decay factor over every \(k\) units of \(x\).
To convert a rate to a different time unit, use fractional/rational exponents: \(b_{\text{new period}} = b^{\,(\text{new period}/\text{old period})}\).
On \(x\ge 0\): increasing exponentials (\(b>1\)) have a minimum at \(x=0\) and no maximum; decreasing exponentials (\(0
Polynomial Functions — Graphs, Zeros & Operations
End behavior: even degree + positive leading coefficient → up/up; even degree + negative → down/down; odd degree + positive → down/up; odd degree + negative → up/down.
Multiplicity: odd multiplicity → graph crosses the x-axis; even multiplicity → graph touches (is tangent to) the x-axis and turns around.
Turning points: a degree-\(n\) polynomial has at most \(n-1\) turning points.
Remainder Theorem: the remainder when \(p(x)\) is divided by \((x-a)\) equals \(p(a)\).
Factor Theorem: if \(p(a)=0\), then \((x-a)\) is a factor of \(p(x)\).
Complex zeros: for polynomials with real coefficients, complex zeros always come in conjugate pairs.
To find a coefficient in a product of two polynomials, multiply out only the term pairs whose exponents add to the target power.
Module 1 — Review Before Submitting
Blue = answered · Peach = unanswered · Gold flag = marked for review. Tap any number to jump back to that question.
Break
Module 1 Complete
Nice work. Take a short breather, then move on to Module 2 — Polynomial Equations, Graphs & Zeros (22 questions · 35 minutes).
0:30
Estimated Score
out of 800 (200–800 scale)
0/44
Correct
0
Incorrect
0
Unanswered
Domain Breakdown
Module 1 · Exponential Functions0%
Module 2 · Polynomial Functions0%
Missed & Skipped Questions — Full Review
Retake — Missed Questions Only
Running score: 0 / 0 — this does not change your original test score.