Algebra - Functions, Expressions and Equations
Learn more about Algebra calculations, including expressions, equations, and variables, in a clear and simple manner.
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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!
Expressions and variables
Operations in the right order
Composing equations and inequalities
Representing functions as rules and graphs
Integers and rational numbers
Calculating with real numbers
The Distributive property
Properties of equalities
Fundamentals in solving equations in one or more steps
Ratios and proportions and how to solve them
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
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
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
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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