What this skill covers
Advanced Math moves beyond straight lines into quadratics, exponents, and function notation. The single most common operation tested is substitution: plug a given value into f(x) and simplify carefully using order of operations.
For "which expression is equivalent" questions, factoring or expanding fully — rather than trying to eyeball the answer — is the reliable path, since wrong choices are deliberately built to look plausible at a glance.
Worked examples
Example 1
For f(x) = x² + 3x, what is f(4)?
A. 28
B. 19
C. 12
D. 16
Why: Substitute 4: 4² + 3(4) = 16 + 12 = 28 — the most common error is stopping after squaring and forgetting the second term.
Example 2
Which expression is equivalent to x² − 7x + 12?
A. (x − 3)(x − 4)
B. (x + 3)(x + 4)
C. (x − 2)(x − 6)
D. (x − 7)(x + 12)
Why: Two numbers that multiply to 12 and add to 7 are 3 and 4, so the trinomial factors as (x − 3)(x − 4) — checking both the product and the sum catches wrong-pair distractors.
How to practice this on TSI Practice Prep
Open SAT Practice to answer original SAT questions on sAT Advanced Math, get an explanation for every choice, and see this skill tracked separately in your progress and mistake review.
Practice score estimates are learning indicators, not official scores or admission guarantees.
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