Nonlinear Equations in One Variable — Digital SAT SAT Math revision notes
A 4-page visual revision sheet for Nonlinear Equations in One Variable, written for Digital SAT SAT Math. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Nonlinear Equations in One Variable sheet covers
- Three families, one habit
- The lines that solve most of these
- if a product is zero, one factor is zero
- the quadratic formula, always available
- the discriminant decides how many real solutions
- the axis of symmetry, and the vertex x
- sum and product of the two solutions
- Every quadratic is symmetric
- Worked: a quadratic that factors
- Pick the method before you start
- Where extraneous solutions come from
- Worked: a radical equation with a false candidate
- Two more pictures worth carrying
- Calculator and timing, concretely
- Traps that cost points
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans SAT Math chapter by chapter against your real exam dates and free hours, and when the plan reaches Nonlinear Equations in One Variable the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.
More SAT Math revision notes
- Area and Volume
- Circles
- Equivalent Expressions and Polynomials
- Evaluating Statistical Claims
- Inference and Margin of Error
- Linear Equations
- Linear Functions
- Linear Inequalities
- Lines, Angles, Triangles
- Nonlinear Functions
- Nonlinear Systems
- One-variable Data
- Percentages
- Probability and Conditional Probability
- Ratios, Rates and Proportions
- Systems of Equations
- Triangles and Trigonometry
- Two-variable Data
- Units, Rates and Conversions