Algebra

12 interactive Mathematics simulations on algebra.

Mathematics · Algebra Linear inequality in one variable – solution set on a number line Solve the inequality ax + b > c (or <, ≥, ≤) step by step: transpose terms, then divide both sides by a and flip the sign when a < 0.... Ages 14–15
Mathematics · Algebra Grade 10 Math Topics – Linear Systems, Induction & Binomial Theorem, Conic Sections Three Grade 10 elective topics in one simulation, chosen with the topic parameter. System of three linear equations: step through... Ages 15–16
Mathematics · Algebra Polynomials in one variable – graphs, values and roots Choose the degree and the coefficients of a polynomial P(x) of degree 1, 2 or 3; the simulation writes the polynomial in standard form,... Ages 12–13
Mathematics · Algebra Sign of a quadratic function Drag a, b and c to change the parabola y = ax² + bx + c and read the matching sign table right away. The simulation shades the part of... Ages 15–16
Mathematics · Algebra The fraction (ax + b)/(cx + d): domain and graph Graphs the value of the rational expression y = (ax + b)/(cx + d) as x varies. Students drag the sliders a, b, c, d and drag point P... Ages 13–14
Mathematics · Algebra Algebraic Identities – Cut and Rearrange Illustrates (a + b)², (a − b)² and a² − b² using the areas of squares and rectangles. Students drag the handles to change a and b, then... Ages 13–14
Mathematics · Algebra Systems of Three Linear Equations – Planes and Gaussian Elimination Each equation ax + by + cz = d is a plane in space. Rotate the 3D frame to see three planes meet at one point (unique solution), meet... Ages 15–16
Mathematics · Algebra Systems of Two Linear Equations – Solving Graphically Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are drawn on the coordinate plane; their intersection is the solution of the system.... Ages 14–15
Mathematics · Algebra Solution region of a system of linear inequalities in two variables Draws the solution region of a system of up to 3 inequalities of the form ax + by ≤ c (or ≥, <, >) on the coordinate plane. Students... Ages 15–16
Mathematics · Algebra Multiplying polynomials with an area model A rectangle with length a + b and width c + d is split into 4 cells. Students drag the handles on the edges to change a, b, c, d and see... Ages 13–14
Mathematics · Algebra Binomial theorem, Pascal's triangle, and proof by induction The expansion of (a + b)ⁿ has coefficients equal to row n of Pascal's triangle. Increase n step by step to see how each new row is... Ages 15–16
Mathematics · Algebra Direct and inverse proportion – table and graph A table of values and the graph of y = kx (direct proportion) or y = k/x (inverse proportion). Drag the point on the graph horizontally... Ages 12–13