How to answer it
- Substitute the input in parentheses.
- Apply exponents before multiplying.
- Then multiply, add and subtract in order.
Worked example
An original question in the SAT format, already answered.
SAT MathWorked example
f(x) = 2x² − 3
What is the value of f(−2)?
- A−11
- B−5
- C5
- D13
Answer: C. f(−2) = 2(−2)² − 3 = 2(4) − 3 = 5. Choice A comes from treating −2² as −4.
The most common trap
Squaring a negative without parentheses. (−2)² is 4, not −4.
Practice it
Hourly Prep’s daily sets mix nonlinear functions with the rest of SAT Math, and send more of it your way when it’s a weak spot. See how the SAT prep plan works, or browse the other SAT skill guides.
For pacing and strategy across the whole section, read our guide to Desmos on the SAT. To fit this skill into a schedule, see the SAT study plan guide.