5:54
Algebra 1
Intro
The Real Number System
Naturals, integers, rationals, irrationals — and which box a number lives in.
Algebra 1
Algebra 1 is the course everything else is built on. Lines, systems, factoring and quadratics account for most of it, and the students who do well later are the ones who can factor and graph without thinking hard about it. Every topic here links to unlimited practice on the AlgeBridge platform.
46 topics · 9 units
46
Topics
Linear thinking, factoring, and the first serious functions.
Algebra Foundations
6 topicsThe number system, the properties you are allowed to use, and exponent rules that everything later depends on.
5:54
24:45
Algebra 1
Intro
Properties of Real Numbers
Commutative, associative, distributive, identity, inverse — the rules that justify every step.
9:43
Algebra 1
Core
Practice ready
Laws of Exponents
Multiply means add, divide means subtract, power of a power means multiply.
12:37
Algebra 1
Core
Practice ready
Negative & Zero Exponents
What a negative exponent actually means, and why it is not a negative answer.
10:27
Algebra 1
Core
Practice ready
Scientific Notation
Writing very large and very small numbers without counting zeros.
3:09
Algebra 1
Core
Practice ready
Simplifying Radicals
Pulling perfect squares out from under the root sign.
Linear Equations
5 topicsSolving for one unknown in every arrangement it can appear, including formulas with several letters.
8:58
Algebra 1
Core
Practice ready
Multi-Step Equations
Simplify each side first, then isolate — in that order.
6:45
Algebra 1
Core
Practice ready
Variables on Both Sides
Getting every x onto one side, and what it means when they all disappear.
5:36
Algebra 1
Core
Practice ready
Equations with Fractions
Clear every denominator in one move and never work with fractions again.
4:55
Algebra 1
Core
Practice ready
Literal Equations
Solving a formula for one letter when everything else stays symbolic.
13:12
Algebra 1
Advanced
Practice ready
Absolute Value Equations
Why these usually have two answers, and when they have none.
Inequalities
3 topicsSolution sets instead of single answers, written on number lines and in interval notation.
30:44
Algebra 1
Core
Practice ready
Solving Linear Inequalities
Everything from equations carries over, except one rule.
11:45
Algebra 1
Advanced
Practice ready
Compound Inequalities
AND means overlap, OR means everything either one covers.
13:12
Algebra 1
Advanced
Practice ready
Absolute Value Inequalities
Less than gives a sandwich, greater than gives two pieces.
Functions
4 topicsThe central object of the rest of mathematics. Inputs, outputs, and the notation that comes with them.
10:54
Algebra 1
Core
Practice ready
Relations & Functions
The one rule that decides whether a relation is a function.
11:49
12:51
7:31
Algebra 1
Core
Practice ready
Interpreting Function Graphs
Reading intercepts, increases, maximums and meaning off a picture.
Linear Functions & Graphing
7 topicsLines in every form, what each form is good for, and how to move between them.
7:06
Algebra 1
Core
Practice ready
The Slope Formula
Computing steepness from two points without a graph.
8:59
Algebra 1
Core
Practice ready
Slope-Intercept Form
y = mx + b, the form you can graph without any work.
3:58
Algebra 1
Core
Practice ready
Point-Slope Form
The fastest way to write a line's equation from a point and a slope.
3:23
Algebra 1
Core
Practice ready
Standard Form & Intercepts
Ax + By = C, and the two-point shortcut for graphing it.
9:13
Algebra 1
Core
Practice ready
Parallel & Perpendicular Lines
Same slope, or negative reciprocal slopes.
8:03
Algebra 1
Advanced
Practice ready
Graphing Linear Inequalities
A boundary line plus a shaded half-plane.
3:18
Algebra 1
Advanced
Scatter Plots & Line of Best Fit
Finding a trend in messy data, and the limits of trusting it.
Systems of Equations
5 topicsTwo equations, two unknowns, and three methods with different strengths.
8:30
Algebra 1
Core
Practice ready
Solving Systems by Graphing
The intersection point, and what parallel or identical lines mean.
4:38
Algebra 1
Core
Practice ready
The Substitution Method
Best when one variable is already alone, or easy to isolate.
10:20
12:44
Algebra 1
Advanced
Practice ready
Systems Word Problems
Two unknowns, two facts, and a reliable setup routine.
10:56
Polynomials & Factoring
6 topicsMultiplying expressions out, and the much harder skill of putting them back together.
17:52
Algebra 1
Core
Adding & Subtracting Polynomials
Combining like terms, with one sign trap when subtracting.
6:25
Algebra 1
Core
Practice ready
Multiplying Binomials (FOIL)
Four products, and why FOIL is only a special case.
4:06
Algebra 1
Core
Practice ready
Special Products
Three patterns that save time and are essential for factoring later.
34:45
11:22
Algebra 1
Advanced
Practice ready
Factoring Trinomials
Finding two numbers that multiply and add correctly.
11:03
Algebra 1
Advanced
Practice ready
Factoring Special Cases
Difference of squares and perfect square trinomials, spotted instantly.
Quadratic Functions
6 topicsParabolas, and four different methods for solving the equations behind them.
7:58
Algebra 1
Core
Practice ready
Graphing Parabolas
Vertex, axis of symmetry, direction, and how wide it opens.
7:16
Algebra 1
Core
Practice ready
Solving Quadratics by Factoring
The zero product property, and why one side must be zero first.
11:03
14:05
Algebra 1
Advanced
Practice ready
Completing the Square
Manufacturing a perfect square, and where the quadratic formula comes from.
10:14
Algebra 1
Advanced
Practice ready
The Quadratic Formula
The method that always works, and what the discriminant predicts.
5:58
Algebra 1
Advanced
Quadratic Applications
Projectiles, areas and maximum profit — where parabolas describe reality.
Exponentials & Sequences
4 topicsGrowth that multiplies instead of adds, and the patterns behind both kinds.
5:31
Algebra 1
Core
Practice ready
Exponential Functions
When the variable moves into the exponent, everything changes.
7:21
Algebra 1
Advanced
Practice ready
Exponential Growth & Decay
Percent change per period, written as a multiplier.
6:16
Algebra 1
Core
Practice ready
Arithmetic Sequences
Adding the same amount each time — a linear function on the integers.
10:45
Algebra 1
Core
Practice ready
Geometric Sequences
Multiplying by the same amount each time — an exponential on the integers.