Algebra 1 Topics and Concepts | Albert Resources (2024)

Algebra 1 Topics and Concepts | Albert Resources (1)

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  • Last Updated On: March 1, 2022

Algebra 1 Topics and Concepts | Albert Resources (2)

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.

What We Review

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’sAlgebra 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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Algebra 1 Topics and Concepts | Albert Resources (2024)

FAQs

What is the hardest topic in algebra 1? ›

According to study, the following algebra topics were found to be the most difficult for students to master:
  • 1) - Multiplying Polynomials by Monomials.
  • 2) - Modeling Using Exponential Functions.
  • 3) - Averaging Data with Different Units.
  • 4) - Converting Units for Derived Quantities.

Is algebra 1 a hard class? ›

Algebra can be a hard subject because it is based on abstract concepts. You have to solve complex problems that involve variables and strong critical thinking and logical reasoning skills. Whether you find algebra hard or easy also depends on your foundational algebraic skills, practice skills, and attention span.

How many questions do I need to get right on the algebra 1 Regents? ›

Of the 14 multiple-choice questions remaining, you are likely to guess correctly on 25% of them, or about 3 or 4 questions. Even if you only get three more questions correct, that's six more points, which brings your total to 26 points. Remember, you only need 27 points to pass the exam.

Is algebra 1 or 2 harder? ›

Some Algebra 2 classes even start to introduce trigonometry, which is all about angles and triangles. What makes Algebra 2 harder than Algebra 1 is that it asks you to take the basic ideas you learned before and use them to solve problems that are a lot more challenging.

Can I fail algebra 1? ›

Students who fail Algebra I in ninth grade can get back on track and successfully progress toward graduation. Most students (two-thirds) who failed Algebra I ended up graduating within 4 years if they recovered Algebra I at some point in time.

Does algebra 4 exist? ›

There is no universally accepted “algebra 4”. Algebra 1 and 2 are, in some countries, the names given to a few basic courses involving linear equations, inequalities, graphs, polynomials and such.

What grade level is algebra 1? ›

When Do Most Students Take Algebra 1? Historically speaking, Algebra 1 has been reserved for ninth or tenth grade, and research indicates the majority of students still wait until high school for this course.

Is geometry harder than algebra? ›

The ease or difficulty of learning geometry versus algebra can vary from person to person. Some individuals may find geometry more intuitive and easier to understand due to its visual nature. Others may prefer the logical structure and problem-solving aspects of algebra.

How many students fail algebra 1? ›

In California, where standards call for Algebra I in grade 8, a 2011 EdSource report shows that nearly one-third of those who took the course—or 80,000 students—scored “below basic” or “far below basic.” In districts across the country, failure rates for Algebra I vary but run as high as 40 or 50 percent...

What is the most failed high school class? ›

Algebra I is the single most failed course in American high schools. Thirty-three percent of students in California, for example, took Algebra I at least twice during their high school careers. And students of color or those experiencing poverty are overrepresented in this group.

Can you skip algebra 1? ›

Check the course description at your hs to see exactly what Algebra 2 covers, but it should include linear, quadratic, exponential, polynomial, radical, rational, and logarithmic equations. Algebra I is incredibly easy, yet equally as fundamental. The skip is possible, granted you have decent math skills.

Is 86 a good Regents score? ›

Based on the January 2020 Algebra 1 Regents exam, students that receive a raw score of between 68 and 86 receive a 5 for their performance level. There are many ways to get to this number. One way would be getting 20 multiple choice questions right, 50% of Part II questions right, and all of Parts III and IV.

What happens if you fail a regent? ›

To pass a Regents Exam you must earn a 65 or higher, though accommodations may be made for certain disabilities. Students who fail an exam may still pass the course, but will need to retake the exam.

What happens if you don't pass Algebra 1 Regents? ›

Depending on your school, if you fail your Algebra 1 Regents exam, you may be required to go to summer school or complete credit recovery. Ask your guidance counselor for your school's policy.

What is the 1 hardest math problem? ›

10 World's Hardest Math Problems With Solutions and Examples That Will Blow Your Mind
  • The Four Color Theorem.
  • Fermat's Last Theorem.
  • The Monty Hall Problem.
  • The Travelling Salesman Problem.
  • The Twin Prime Conjecture.
  • The Poincaré Conjecture.
  • The Goldbach Conjecture.
  • The Riemann Hypothesis.
Aug 31, 2023

What is the hardest math topic ever? ›

Five Most Difficult Topics In Mathematics That Students Fear
  • Calculus. Calculus is the study of integrals, function limits, and derivative combinations for real numbers and their analysis. ...
  • Differential equations and dynamic systems. ...
  • Algebra. ...
  • Combinatory. ...
  • Logic.
Sep 20, 2021

Is algebra 1 harder than calculus? ›

We often consider calculus to be more difficult than algebra. Algebra courses explore the many operations, properties, and rules that can be used to manipulate equations. Calculus courses apply algebraic operations to functions in a more complex way.

Is algebra 1 harder than Geometry 1? ›

So if you want to look at these three courses in order of difficulty, it would be algebra 1, geometry, then algebra 2. Geometry does not use any math more complicated than the concepts learned in algebra 1.

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