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Math · 10th Grade
Radical Equations
Squaring both sides solves it — and can invent answers that do not work.
How to use it
Always substitute back. Squaring creates extraneous solutions that look perfectly valid.
Free · print-ready PDF · US Letter and A4
- Grade
- 10th Grade
- Ages
- 15–16
- Subject
- Math
- Pages
- 1
The rest of the 10th Grade wall
49 more posters, all free to print — 11 of them here.
Completing the SquareTurning any quadratic into vertex form — and where the quadratic formula comes from.Vertex FormThe form that hands you the graph without any working at all.End Behaviour of PolynomialsWhat the graph does at the far left and far right, from two pieces of information.Sum and Difference of CubesTwo patterns worth memorising, and the sign rule that keeps them straight.Rational ExpressionsFractions with algebra in them — and the values that are forbidden.Complex NumbersWhat happens when the discriminant is negative.LogarithmsA log is an exponent — reading the definition backwards makes everything easier.SOH-CAH-TOAThree ratios, and the labelling step that decides which one you need.The Special TrianglesTwo triangles whose exact ratios are worth knowing without a calculator.The Unit CircleTrig beyond right triangles, and the sign pattern in each quadrant.Circle TheoremsSix results that solve almost every circle question.