← All Mission Packs
Math Grades 7–9

Algebra Essentials Mission

Develop algebraic reasoning from one-variable equations through systems, inequalities, and quadratic functions step by step.

8 activities · Work through in order for a complete lesson arc

1

Equation Balance Scale

Solve one-step and two-step equations visually with an SVG balance scale. See step-by-step operations applied to both sides.

Start here — build intuition before symbolic manipulation.

2

Linear Equation Solver

Solve systems of linear equations with step-by-step Gaussian elimination, interactive matrix visualization, and exact fraction arithmetic.

3

Inequalities & Interval Grapher

Graph and solve linear and quadratic inequalities with number line shading, 2D region visualization, and interval notation.

4

Systems of Equations Solver (3+ Variables)

Solve 2x2 through 5x5 systems with Gaussian elimination. Step-by-step row operations, augmented matrix display, determinant, and solution classification.

5

Quadratic Equation Solver

Solve ax² + bx + c = 0 with an interactive graph. See roots, vertex, discriminant, and step-by-step solutions.

6

Polynomial Factoring & Roots Explorer

Factor polynomials up to degree 4 and find roots with step-by-step solutions.

7

Equation Balance & Intro Algebra Lab

Solve linear equations with a visual balance scale. Apply inverse operations step by step, handle variables on both sides, and verify solutions by substitution

8

Polynomial & Rational Functions Lab

Analyze polynomial roots, end behavior, and turning points. Explore rational functions with vertical/horizontal/oblique asymptotes and holes using interactive JSXGraph plots

Capstone — graph and factor higher-degree polynomials.