Nonlinear equations and systems SAT practice questions
Math, Advanced Math. 220 questions
Solve quadratic, radical, rational and absolute value equations, and systems that mix a line with a curve.
What this skill tests
- Quadratic equations and the discriminant
- Radical and rational equations
- Systems of a line and a parabola
How to approach it
- 1Use the discriminant to count real solutions without solving.
- 2Check radical and rational answers for extraneous solutions.
- 3For a line and a curve, graph both and count the intersections.
More Math skills
Linear equations in one variableAlgebraLinear equations in two variablesAlgebraLinear functionsAlgebraSystems of linear equationsAlgebraLinear inequalitiesAlgebraEquivalent expressionsAdvanced MathNonlinear functionsAdvanced MathRatios, rates and unitsProblem Solving and Data AnalysisPercentagesProblem Solving and Data AnalysisOne variable dataProblem Solving and Data AnalysisTwo variable dataProblem Solving and Data AnalysisProbabilityProblem Solving and Data AnalysisSample statistics and margin of errorProblem Solving and Data AnalysisObservational studies and experimentsProblem Solving and Data AnalysisArea and volumeGeometry and TrigonometryLines, angles and trianglesGeometry and TrigonometryRight triangles and trigonometryGeometry and TrigonometryCirclesGeometry and Trigonometry