Algebra 1 Honors Study Guide
6 units with lessons, worked examples, graphs, and practice PDFs.
Units
Real Numbers and Algebraic Expressions
The rules of arithmetic, restated so they still hold once letters replace numbers. Exponent rules and order of operations do most of the work here and are assumed silently by every later unit.
3 lessons · Problems and solutions PDFs →
Linear Equations and Inequalities
Solving by undoing operations while keeping both sides balanced, and the one place inequalities behave differently from equations.
3 lessons · Problems and solutions PDFs →
Linear Functions and Coordinate Geometry
Straight-line relationships and the coordinate plane. Slope carries a rate with units, which is what makes linear models interpretable.
3 lessons · Problems and solutions PDFs →
Systems of Equations and Inequalities
Two conditions holding at once. The number of solutions is a geometric fact about whether the lines meet, are parallel, or coincide.
3 lessons · Problems and solutions PDFs →
Polynomials and Factoring
Rewriting a sum as a product. Factoring is the tool that turns an equation into a set of zeros, which is why it dominates the next unit.
3 lessons · Problems and solutions PDFs →
Quadratic Equations and Models
The first genuinely curved relationship. The vertex gives a maximum or minimum, which is what makes quadratics useful for modelling.
3 lessons · Problems and solutions PDFs →
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