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- The Albert Team
- Last Updated On: March 1, 2022

Looking for all the topics in Algebra 1?

Algebra 1 is a math course exploring how to use variables, numbers, and mathematical operations to solve problems.Explore below for a list of all Algebra 1 topics, a summary of the typical Algebra 1 course, and a discussion of what makesAlgebra 1 unique.

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## What topics are in Algebra 1?

The below sequence of themes, concepts, and skills covers all of the most commonly taught Algebra 1 topics. As a bonus, many of the topics include links directly to Albert’s**Algebra 1 practice problems**.

- Parts of an Expression
- Combining Like Terms
- Simplify and Evaluate Expressions
- Equivalent Expressions
- Algebraic Fractions
- Complex Fractions

- Exponent Laws and Notation
- Simplify Roots
- Radical Laws and Notation
- Rational Exponents
- Rationalize Denominators

- Polynomial Operations
- Interpret Expression Structure
- Factorization Procedures
- Factor Polynomials

- Formulas
- Units and Quantitative Reasoning
- One-Step Equations
- Two-Step Equations
- Multi-Step Equations
- The Coordinate Plane
- Understand Slope
- Slope-Intercept Form
- Point-Slope Form
- Standard Form
- Transformations of Linear Functions
- Parallel Lines
- Perpendicular Lines

- Understand Inequalities
- One-Step Inequalities
- Two-Step Inequalities
- Multi-Step Inequalities
- Compound Inequalities
- Linear Inequalities: Solve and Graph
- Linear Inequalities: Write and Apply

- Understand Systems of Equations
- Solve Systems of Equations
- Systems of Inequalities

- Understand Functions
- Function Notation
- Interpret and Model Functions
- Operations on Functions
- Composite Functions
- Inverse Functions

- Arithmetic Sequences
- Geometric Sequences
- Mixed Sequences
- Recursive Formulas for Sequences
- Exponential Growth and Decay
- Exponential Functions

- Piecewise Functions
- Absolute Value and Step Functions
- Function Transformations

- Explore Quadratic Functions
- Factored Form
- Vertex Form

- Understand Solving Quadratics or Polynomials
- Solve Quadratics: Factoring
- Solve Quadratics: Complete the Square
- Solve Quadratics: Graphing
- Solve Quadratics: Quadratic Formula
- Irrational Numbers

- Represent Data
- One-Variable Statistics
- Variation
- Standard Deviation
- Two-Way Tables
- Scatter Plots

## What is Algebra 1?

Algebra 1 is a high school math course exploring how to use letters (called variables) and numbers with mathematical symbols to solve problems.

Algebra 1 typically includes evaluating expressions, writing equations, graphing functions, solving quadratics, and understanding inequalities. Algebra 1 focuses on a variety of different types of functions such as linear, quadratic, and cubic — all of which are represented in traditional “function notation” as well as graphed on the coordinate plane.

Students in Algebra 1 typically build conceptual understanding and gain procedural fluency of concepts that are required for more advanced math subjects such as Geometry and Calculus. Abstracting real-life situations into mathematical models (expressions, equations, functions) is a key part of success in Algebra 1.

View Albert's Algebra 1 topic review guides

## What grade is Algebra 1?

Algebra 1 is typically taught **late in middle school** or **early in high school**.

In the United States, 9th grade (freshman year) seems to be the most common grade for students to take an Algebra 1 class. Some high schools also offer Algebra 1 to 10th graders.

On the other end of the spectrum, many middle schools offer students an Algebra 1 course as early as 8th grade or even 7th grade for more advanced math students.

## Is Algebra 1 hard?

It’s impossible to say exactly how easy or difficult Algebra 1 for each individual student. Students who have a strong background in middle school math topics (fractions, decimals, ratios, percents, negative numbers) should find an Algebra 1 course relatively accessible.

However, for many students, Algebra 1 will be quite a difficult challenge.

In Algebra 1, there are dozens of quickly-moving topics and skills that build on each other as the curriculum progresses. Having strong arithmetic skills is an incredibly important prerequisite for gaining confidence in an Algebra 1 course. If a student starts to get slightly behind on a specific concept, it’s likely those misconceptions will build into further confusion rather quickly.

If you’re looking for student practice at a wide range of difficulty levels, consider trying Albert’s Algebra 1 practice questions.

Explore Albert's Algebra 1 Practice

## What is the difference between Algebra 1 and 2?

As the names suggest, there are many core similarities between Algebra 1 and Algebra 2. Both courses work extensively with variables and functions as well as using mathematical operations to find unknown quantities.

Students in Algebra 1 are typically expected to gain mastery of a wide variety of techniques for solving linear and quadratic equations. Algebra 1 focuses on “doing the same thing to both sides of the equation” to solve equations. With the lens of linear and quadratic functions, Algebra 1 pushes students to find roots (solutions) leveraging multiple methods (including the quadratic formula), graph function relationships on the coordinate plane, and convert among various forms of quadratics.

Algebra 2 is an advanced expansion of the ideas from Algebra 1. Students in Algebra 2 are introduced to a much wider range of functions including logarithms, radicals, and rational functions. Trigonometric functions often become an important new focus area during Algebra 2 as students begin exploring the unit circle. Algebra 2 typically includes solutions with real and complex numbers — including arithmetic with imaginary numbers — as well as conic sections such as hyperbolas, parabolas, and ellipses. Basic parabolas that students used to think had no solutions during Algebra 1 are actually revealed to have two “imaginary” solutions in Algebra 2.

In general, Algebra 2 includes a wider and more intricate variety of function types than those covered in Algebra 1 topics.

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