Algebra - Functions, Expressions and Equations

Algebra - Functions, Expressions and Equations

Learn more about Algebra calculations, including expressions, equations, and variables, in a clear and simple manner.

Free Course
This free online algebra course teaches you about functions, expressions and equations. Algebra is the field of mathematics which involves solving equations, isolating variables, and simplifying expressions. In this course, you will learn about expressions, equations, variables, integers, rational numbers, square roots, scientific notations, and real numbers. You will also learn how to solve linear equations, visualize linear functions, and more.
  • Duration

    1.5-3 Hours
  • Assessment

  • Certification

  • Publisher

    Math Planet





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An algebraic expression is a mathematical phrase that can contains ordinary numbers, variables such as x or y, and operators such as add, subtract, multiply, and divide. This course begins by discussing expressions and variables. You will learn how to compose expressions, equations, and inequalities. You will then study distributive properties and learn how to solve ratios and proportions. You will also study how to calculate with percentages. This course will also discuss linear equations in the coordinate plane and the slope-intercept form of a linear equation.

You will then study parallel and perpendicular lines, scatter plots, and linear models. You will learn how to solve linear inequalities, compound inequalities, and absolute value equations and inequalities. This course will also teach you about graphing linear systems, the elimination method for solving linear systems, and the substitution method for solving linear systems. You will also look into the properties of exponents and exponential growth. You will then look into monomials, polynomials, special factors of polynomials, and the polynomial equation in factored form.

Algebra is an important life skill since it moves us beyond basic math and prepares us for statistics and calculus. Upon the completion of this course, you will be able to use graphing to solve quadratic equations, simplify radical equations, simplify and multiply rational expressions, add and subtract rational expressions, and solve rational expressions. So, check out the course today, and start making algebra a lot easier!

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Expressions and variables

Operations in the right order

Composing expressions

Composing equations and inequalities

Representing functions as rules and graphs

Integers and rational numbers

Calculating with real numbers

The Distributive property

Square roots

Properties of equalities

Fundamentals in solving equations in one or more steps

Ratios and proportions and how to solve them

Similar figures

Calculating with percents

The coordinate plane

Linear equations in the coordinate plane

The slope of a linear function

The slope-intercept form of a linear equation

Writing linear equations using the slope-intercept form

Writing linear equations using the point-slope form and the standard form

Parallel and perpendicular lines

Scatter plots and linear models

Solving compound inequalities

Solving absolute value equations and inequalities

Linear inequalities in two variables

Solving linear inequalities

Graphing linear systems

Properties of exponents

Scientific notation

Exponential growth functions

Monomials and polynomials

Polynomial equations in factored form

Special products of polynomials

Completing the square

The elimination method for solving linear systems

Systems of linear inequalities

The graph of a radical function

Simplify radical expressions

Radical equations

The distance and midpoint formulas

Simplify rational expression

Multiply rational expressions

Division of polynomials

Add and subtract rational expressions

Solving rational expression

The Pythagorean Theorem

The quadratic formula

Use graphing to solve quadratic equations

The substitution method for solving linear systems

Factor polynomials on the form of x^2 + bx + c

Factor polynomials on the form of ax^2 + bx +c

The graph of y = ax^2 + bx + c


Learning Outcomes

This course will help you to understand expressions, equations and functions. You will be able to explore real numbers and solve linear equations, along with gaining a good knowledge of formulating linear equations and inequalities. You will know exponents and exponential functions. This course will help you to understand factoring, polynomials and how to formulate quadratic equations and radical expressions.


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

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An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

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