Foundational Algebra

Learn how to simplify expressions by applying the order of operations, removing parentheses using the distributive property, and combining like terms into a more compact equivalent form.

Explore how the distributive property is used to expand and factor expressions, simplify equations, and build polynomial structure.

Explore the structure of expressions and equations, how variables and operations represent relationships, and how to solve for unknowns using inverse operations.

Solve more complex equations that involve multiple steps, including distribution and combining terms.

Represent and solve inequalities and graph them on a number line with correct directionality.

Learn how to solve compound inequalities and those involving absolute value with appropriate notation and reasoning.

Rearrange equations to isolate variables and solve for unknowns in multi-variable formulas.

Model linear relationships with equations, tables, and graphs; understand slope and intercepts.

Analyze and solve systems of linear equations using graphing, substitution, and elimination.

Graph and analyze systems of linear inequalities using boundary lines and shaded regions.

Explore how arithmetic patterns and relationships build a foundation for understanding formal function rules.

Explore how exponent rules apply to expressions and how polynomial structure determines behavior.

Use a variety of strategies to factor polynomials and understand how factoring relates to equations.

Factor perfect square trinomials and differences of squares with clarity and consistency.

Solve quadratic equations by factoring, completing the square, and using the quadratic formula.