Algebra I · Grade 9 or accelerated Grade 8
Regents Algebra I — the Grade 9 course, and the same course accelerated students take in Grade 8: expressions and equations, linear relationships and data, exponential and quadratic functions, radicals, and statistics.
Algebra I · Grade 9 or accelerated Grade 8 covers 16 units across 3 strands, with 256 practice questions, worked examples, and a printable page for every unit. Each unit has a lesson, practice with worked steps, challenge problems, and a chapter review; the course has chapter quizzes, a midterm and a final.
Every unit below is a page of its own: read the explanation, work the examples, then practise. Answers and worked steps are shown after each attempt, so a parent does not have to mark the routine questions.
Units in Algebra I · Grade 9 or accelerated Grade 8
- Expressions, Structure & Units — Before you manipulate an expression, read it. Its structure tells you what it means and what you are allowed to do.
- Solving Equations & Literal Equations — Every step you take must keep the two sides equal. Say which property justifies it, and the algebra never drifts.
- Linear Inequalities — Solve it like an equation, with one extra rule: multiplying or dividing by a negative reverses the sign.
- Slope & the Forms of a Line — Three ways to write the same line. Each one is best at answering a different question.
- Writing & Transforming Linear Functions — Once a linear model is written, every question about it — rate, starting value, prediction, shift — is a short calculation.
- Systems of Equations & Inequalities — Two conditions at once, solved three ways — graph, substitute, or eliminate. The shaded overlap is the answer for inequalities.
- Bivariate Data & Correlation — Fit a line, read its slope in context, and judge how well it fits — then resist the urge to claim a cause.
- Exponential Functions & Growth — Linear growth adds the same amount each step. Exponential growth multiplies by the same amount — and always wins in the end.
- Sequences, Explicit & Recursive — A sequence is a function whose inputs are the counting numbers. Describe it from the start, or from the term before.
- Polynomial Operations — Add and subtract by collecting like terms. Multiply by making sure every pair meets exactly once.
- Factoring — Factoring is multiplication run backwards. Always pull out the common factor first — it makes everything after it easier.
- Graphing Quadratics — Every parabola has a vertex, an axis of symmetry, and up to two roots. Find those and the graph draws itself.
- Solving Quadratic Equations — Four methods, one goal. Factoring is fastest when it works; the quadratic formula always works.
- Radicals & Rational Exponents — A root is a fractional power. Once you accept that, every exponent rule you know still applies.
- Absolute Value, Piecewise & Step Functions — Some functions change their rule partway along. Work out where the rule changes, then treat each piece separately.
- Statistics: Centre, Spread & Displays — Report a centre, a spread, and the shape. One number on its own has almost never told the whole story.