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DOMAIN 01

Algebra Drills

Linear equations, systems, inequalities, and linear functions in context.

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DOMAIN 02

Advanced Math

Quadratics, vertex form, polynomial roots, and exponential models.

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DOMAIN 03

Data Analysis

Percentages, ratios, two-way tables, statistics, and scatterplots.

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DOMAIN 04

Geometry & Trig

Circles, right triangle trigonometry, arc lengths, and 3D volume.

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SAMPLE SAT QUESTION · ADVANCED MATH Difficulty: Hard

The function $f(x) = -2(x - 3)^2 + 18$ models the height of a trajectory in meters, where $x$ is time in seconds. What is the maximum height achieved, and at what time $x$?

A) 3 meters at x = 18 seconds

B) 18 meters at x = 3 seconds (Correct)

C) -2 meters at x = 3 seconds

D) 18 meters at x = -3 seconds

💡 Desmos Method: Type $f(x) = -2(x - 3)^2 + 18$ into Row 1. Click the crest peak point directly to read $(3, 18)$, meaning maximum height is $18\text{m}$ at time $x = 3\text{s}$.

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