# Algebra - Functions, Expressions and Equations

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

## Description

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!

## Modules

### 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

### Assessment

## 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.

## Certification

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:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications

An indication of your commitment to continuously learn, upskill and achieve high results

An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

**Digital Certificate** - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase

**Certificate** - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping

**Framed Certificate** - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.

## Careers

### This Course has been revised!

For a more enjoyable learning experience, we recommend that you study the mobile-friendly republished version of this course.

Take me to revised course.