
Free Course

Math Planet

23 Hours

Assessment

Certification

Academic  Secondary  Level 1

50 Pts
Algebra  Functions, Expressions and Equations

Description

Outcome

Certification

This course in algebra from Alison will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. The course is divided into 12 chapters and each chapter is divided into several lessons. Under each lesson you will find theory, examples and video lessons. This course is ideal for learners who want to study topics in algebra in detail.

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 study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
Modules List( 53 )

Module 1: Discovering expressions, equations and ...

Module
1 Expressions and variables 
Module
2 Operations in the right order 
Module
3 Composing expressions 
Module
4 Composing equations and inequalities 
Module
5 Representing functions as rules and graphs 
Module 2: Exploring real numbers

Module
6 Integers and rational numbers 
Module
7 Calculating with real numbers 
Module
8 The Distributive property 
Module
9 Square roots 
Module 3: How to solve linear equations

Module
10 Properties of equalities 
Module
11 Fundamentals in solving equations in one or more steps 
Module
12 Ratios and proportions and how to solve them 
Module
13 Similar figures 
Module
14 Calculating with percents 
Module 4: Visualizing linear functions

Module
15 The coordinate plane 
Module
16 Linear equations in the coordinate plane 
Module
17 The slope of a linear function 
Module
18 The slopeintercept form of a linear equation 
Module 5: Formulating linear equations

Module
19 Writing linear equations using the slopeintercept form 
Module
20 Writing linear equations using the pointslope form and the standard form 
Module
21 Parallel and perpendicular lines 
Module
22 Scatter plots and linear models 
Module 6: Linear inequalites

Module
23 Solving linear inequalities 
Module
24 Solving compound inequalities 
Module
25 Solving absolute value equations and inequalities 
Module
26 Linear inequalities in two variables 
Module 7: Systems of linear equations and inequali...

Module
27 Graphing linear systems 
Module
28 The substitution method for solving linear systems 
Module
29 The elimination method for solving linear systems 
Module
30 Systems of linear inequalities 
Module 8: Exponents and exponential functions

Module
31 Properties of exponents 
Module
32 Scientific notation 
Module
33 Exponential growth functions 
Module 9: Factoring and polynomials

Module
34 Monomials and polynomials 
Module
35 Special products of polynomials 
Module
36 Polynomial equations in factored form 
Module
37 Factor polynomials on the form of x^2 + bx + c 
Module
38 Factor polynomials on the form of ax^2 + bx +c 
Module 10: Quadratic equations

Module
39 The graph of y = ax^2 + bx + c 
Module
40 Use graphing to solve quadratic equations 
Module
41 Completing the square 
Module
42 The quadratic formula 
Module 11: Radical expressions

Module
43 The graph of a radical function 
Module
44 Simplify radical expressions 
Module
45 Radical equations 
Module
46 The Pythagorean Theorem 
Module
47 The distance and midpoint formulas 
Module 12: Rational expressions

Module
48 Simplify rational expression 
Module
49 Multiply rational expressions 
Module
50 Division of polynomials 
Module
51 Add and subtract rational expressions 
Module
52 Solving rational expression 
Algebra Assessment

Assessment

Assessment

Algebra Assessment
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