Equations & inequalities
Multi-step inequalities, absolute value equations and solving formulas for a letter.
Multi-step inequalitiesHSA.REI.B.3Solve inequalities that need the distributive property or have x on both sides, flipping the sign when dividing by a negative.Absolute value equationsHSA.CED.A.1Solve equations with an absolute value by isolating it and splitting into a positive and a negative case.Literal equationsHSA.CED.A.4Rearrange formulas such as d = rt and P = 2l + 2w to solve for a different letter.
Linear functions
Slope-intercept form, parallel and perpendicular lines, and function notation.
Slope-intercept formHSF.LE.A.2Write y = mx + b from a slope and a point, or from two points.Parallel and perpendicular linesHSG.GPE.B.5Write the equation of a line parallel or perpendicular to a given line through a given point.Evaluating functionsHSF.IF.A.2Use function notation: substitute the input into f(x) and evaluate, including negative inputs and squares.
Polynomials & factoring
Adding, subtracting and multiplying polynomials, and factoring trinomials.
Adding and subtracting polynomialsHSA.APR.A.1Add and subtract polynomials by combining like terms, distributing the minus sign when subtracting.Multiplying polynomialsHSA.APR.A.1Multiply a monomial by a binomial and two binomials together, then combine like terms.Factoring trinomialsHSA.SSE.A.2Factor x² + bx + c and ax² + bx + c into two binomials.
Quadratic functions & equations
The vertex of a parabola, completing the square, and solving by factoring or the quadratic formula.
Solving quadratics by factoringHSA.REI.B.4bSolve quadratic equations with the zero product property: get 0 on one side, factor, and set each factor equal to 0.Vertex of a parabolaHSF.IF.C.7aFind the vertex of a parabola from vertex form, or from standard form with x = −b/(2a).Completing the squareHSA.SSE.B.3bRewrite ax² + bx + c in vertex form by completing the square, including odd b and a ≠ 1.The quadratic formulaHSA.REI.B.4bSolve ax² + bx + c = 0 with x = (−b ± √(b² − 4ac)) / (2a), giving exact or rounded solutions.
Radicals & exponential functions
Simplifying square roots, and exponential growth and decay.
Simplifying radicalsHSN.RN.A.2Simplify square roots by taking out the largest perfect-square factor, including roots with a number in front and products of roots.Exponential growth and decayHSF.LE.A.2Evaluate exponential functions and use y = a(1 + r)ᵗ and y = a(1 − r)ᵗ for percent growth and decay.