Basic Algebra made completely easy!

Succeed in math class with our complete Basic Algebra help. We cover all topics you will see in any typical Basic Algebra class, Florida FSA and Massachusetts MCAS!

With our walkthrough video lessons, you will gain a solid understanding on all topics in basic algebra like Linear equations, Fractions, Pythagorean Theorem, different types of Polynomials, Exponents, and so many more. Learn the concepts with our tutorials that show you step-by-step solutions to even the hardest basic algebra problems. Then, reinforce your understanding with tons of basic algebra practice.

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Common Questions
My basic algebra test is coming up in a few days. Can you guy help me prepare for it?

Sure! You can first work on the basic algebra problems available on our site to determine which areas you need help the most. For instance, if you are having trouble on basic algebra words problems, you can watch our video lessons on the topic to see how teachers solve the questions. You can then do the practice questions posted on our site. Sometimes, you may need to review the basics from the lowers grades such as 7th grade and 8th grade math. No worries, you have access to all these materials with subscription.

I don’t know how to do basic algebra problems on factoring polynomials. What can this do to help me?

We have tons of video lessons which give you a walkthrough on every basic algebra concept. Those lessons also include step by step solutions to questions that you always see in textbooks and tests. It should help you tackle the problems. Of course, we have more than factoring polynomials for basic algebra. Browse through our site, and do better in math!

What are the prerequisites for Basic Algebra?

A prerequisite for this course is either Pre-Algebra or 8th grade math, and after you mastered Statistics, your follow up course should be Algebra 1.

Customer Reviews
4.7 stars based on 7 total reviews
Thomas Fischer

We’re using StudyPug to tackle my daughter’s basic algebra problems that she’s learning at school. It provides lots of chances for her to do basic algebra practice and has been working great!

James Poll

I tell my students about StudyPug because I believe it’s a great companion for the basic algebra problems that we’re learning in class. I’ve seen my past students use it to prepare for their basic algebra tests and it really makes a difference in marks. Always impressed with the high quality lessons on StudyPug.

Lisa K.

When my son did summer school, the curriculum moved a little too fast for him and his first basic algebra test came back poorly. I signed him up for StudyPug from another parent’s recommendation and was surprised to see how much easier his basic algebra review went as he studied for his next test. Makes me less stressed as well!

Rene Kirkland

I teach algebra and it’s always hard to watch the kids struggle over the basic algebra formulas that we teach. I’ve been looking for solutions to see what I can use as teaching aid and StudyPug has been wonderful. I get basic algebra worksheets off them and it has been a great resource.

May Denby

I’m doing basic algebra review for my test right now and I love this site!

David Barrett

My teacher recommended I look up StudyPug to help with my basic algebra questions for when I go back home. I think it’s a really great site.

Emily Leonard

If you’re looking for a good “basic algebra for beginners” course for your child, StudyPug does a wonderful job of teaching concepts. Their instructors make descriptive, in-depth guided videos and I can also bring the lessons with us when we go out on the iPad. We sometimes even just use my phone! A handy and great way to get basic algebra practice.

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Basic Algebra Topics

We have plenty of free lessons for you to watch

1.Foundations

1.1Determine square roots of rational numbers
1.2Square and square roots (free lessons)

2.Ratios, Rates, Proportions and Percent

2.1Ratios (free lessons)
2.2Rates
2.3Proportions
2.4Representing percents (free lessons)
2.5Percents, fractions, and decimals
2.6Percent of a number
2.7Adding and multiplying percents

3.Fractions

3.1Multiplying fractions and whole numbers (free lessons)
3.2Dividing fractions with whole numbers
3.3Multiplying proper fractions
3.4Multiplying improper fractions and mixed numbers
3.5Dividing fractions and mixed numbers
3.6Applications of fraction operations

4.Algebraic Expressions

4.1Characteristics of polynomials (free lessons)
4.2Equivalent expressions of polynomials
4.3Adding and subtracting polynomials
4.4Multiplying and dividing polynomials (free lessons)
4.5Multiplying polynomials by monomials
4.6Dividing polynomials by monomials

5.Linear Relations

5.1Understanding graphs of linear relationships (free lessons)
5.2Understanding tables of values of linear relationships
5.3Applications of linear relationships (free lessons)
5.4Representing patterns in linear relations
5.5Reading linear relation graphs
5.6Solving linear equations by graphing

6.Linear equations

6.1Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
6.2Solving linear equations using addition and subtraction: ax+b=cax + b = c
6.3Solving linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
6.4Solving linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c
6.5Solving linear equations using multiplication and division (free lessons)
6.6Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
6.7Solving linear equations using distributive property: a(x+b)=ca(x + b) = c
6.8Solving linear equations with variables on both sides
6.9Solving literal equations

7.Linear inequalities

7.1Express linear inequalities graphically and algebraically (free lessons)
7.2Solving one-step linear inequalities
7.3Solving multi-step linear inequalities

8.Linear Functions

8.1Relationship between two variables (free lessons)
8.2Understand relations between x- and y-intercepts
8.3Domain and range of a function
8.4Identifying functions
8.5Function notation (free lessons)
8.6Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (free lessons)
8.7Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
8.8Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
8.9Slope intercept form: y = mx + b
8.10General form: Ax + By + C = 0 (free lessons)
8.11Slope-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
8.12Rate of change
8.13Graphing linear functions using table of values
8.14Graphing linear functions using x- and y-intercepts (free lessons)
8.15Graphing from slope-intercept form y=mx+b
8.16Graphing linear functions using a single point and slope
8.17Word problems of graphing linear functions
8.18Parallel and perpendicular lines in linear functions (free lessons)
8.19Applications of linear relations

9.Solving Linear Systems

9.1Determining number of solutions to linear equations (free lessons)
9.2Solving systems of linear equations by graphing
9.3Using elimination method to solve systems of equations
9.4Using substitution method to solve systems of equations
9.5Money related questions in linear equations (free lessons)
9.6Unknown number related questions in linear equations
9.7Distance and time related questions in linear equations
9.8Rectangular shape related questions in linear equations

10.Introduction to exponents

10.1Using exponents to describe numbers (free lessons)
10.2Exponent rules
10.3Order of operations with exponents
10.4Using exponents to solve problems

11.Exponents

11.1Product rule of exponents (free lessons)
11.2Quotient rule of exponents
11.3Power of a product rule
11.4Power of a quotient rule
11.5Power of a power rule (free lessons)
11.6Negative exponent rule
11.7Combining the exponent rules
11.8Scientific notation
11.9Rational exponents (free lessons)
11.10Solving for exponents

12.Operations of Polynomials

12.1What is a polynomial? (free lessons)
12.2Polynomial components
12.3Multiplying monomial by monomial
12.4Multiplying monomial by binomial
12.5Multiplying binomial by binomial (free lessons)
12.6Multiplying polynomial by polynomial
12.7Applications of polynomials

13.Factoring polynomial Expressions

13.1Common factors of polynomials (free lessons)
13.2Factoring polynomials by grouping
13.3Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
13.4Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
13.5Factoring polynomials: x2+bx+cx^2 + bx + c (free lessons)
13.6Applications of polynomials: x2+bx+cx^2 + bx + c
13.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
13.8Factoring polynomials: ax2+bx+cax^2 + bx + c
13.9Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2 (free lessons)
13.10Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2
13.11Evaluating polynomials
13.12Using algebra tiles to solve polynomials
13.13Solving polynomial equations (free lessons)
13.14Word problems of polynomials

14.Scale Factors and Similarity

14.1Enlargements and reductions with scale factors (free lessons)
14.2Scale diagrams
14.3Similar triangles
14.4Similar polygons

15.Pythagorean Theorem

15.1Squares and square roots (free lessons)
15.2Pythagorean theorem
15.3Estimating square roots (free lessons)
15.4Using the pythagorean relationship
15.5Applications of pythagorean theorem
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Basic Algebra, Markham District High, Markham, ON
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