ADM-09 · Line–curve or nonlinear system

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ADM-09 · Advanced Math

Line–curve or nonlinear system

Nonlinear equations and systems · Stage 4

Recognize the pattern

Set the two expressions for y equal, then recover y.

Useful ruleSet expressions equal

Build on: ADM-04 ALG-09

Try it before reading the solution

Find intersections of y=x² and y=2x.

This teaching example is original and is not an official SAT question.

Reasoning

x²=2x gives x(x−2)=0; x=0 or 2.

Answer

(0, 0) and (2, 4)

Ready for adaptive practice

Practice questions remain in English, as on the SAT.

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