Algebra 1 (Intermediate Algebra)

Master integer and rational number operations, find square and cube roots, classify numbers as rational or irrational, and understand properties of operations.

Write and evaluate variable expressions, apply the distributive property, combine like terms, identify equivalent expressions, and factor common terms.

Solve one-variable linear equations including multi-step and those requiring the distributive property. Rearrange formulas and translate word problems into equations.

Graph inequalities on number lines, solve one- and two-step inequalities, work with compound inequalities (AND/OR), and solve absolute value inequalities.

Apply all exponent properties, work with negative and zero exponents, convert and compute with scientific notation, and simplify exponential expressions.

Add, subtract, and multiply polynomials. Factor using GCF, difference of squares, trinomial factoring, and grouping. Recognize special products.

Solve quadratics by factoring, using the quadratic formula, and completing the square. Understand the discriminant and connect equations to parabola graphs.

Calculate slope, find intercepts, write equations in slope-intercept and point-slope form, graph lines, and identify parallel and perpendicular lines.

Solve systems of two equations by graphing, substitution, and elimination. Classify systems as consistent, inconsistent, or dependent. Model with systems.

Identify functions from graphs/tables/equations, use function notation, determine domain and range, and understand basic transformations (shifts, reflections).

Simplify radical expressions, add/subtract/multiply/divide radicals, simplify rational expressions, and solve radical and rational equations.

Create scatter plots, draw lines of best fit, describe correlation (positive, negative, none), calculate residuals, and interpret two-way frequency tables.