Rational equations
Nonlinear equations and systems · Stage 3
Recognize the pattern
Exclude values that make a denominator zero before solving.
Useful ruleClear denominators; reject excluded values
Build on: ADM-03
Try it before reading the solution
Solve 1/(x−1)=2.
This teaching example is original and is not an official SAT question.
Reasoning
x≠1. Multiply by x−1: 1=2x−2, so x=3/2.
Answerx = 3/2
03 · Next step
See membership →Ready for adaptive practice
Practice questions remain in English, as on the SAT.