Intermediate Algebra Help Online

Practice quadratics, systems, and rational expressions with step-by-step video lessons and adaptive worksheets

Intermediate Algebra course hero image
Diagnostic Finds Gaps

Diagnostic Finds Gaps

Snap homework to find the right lessons instantly

Find Your Weak Spots

Find Your Weak Spots

Find gaps and build your personalized study plan

Practice Until Perfect

Practice Until Perfect

Unlimited problems that adapt as you improve

Try It Now

Test your knowledge

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety

Intermediate Algebra Topics

Topic includes:
Practice
Video
Quiz
950+ students practicing now

1. Adding and Subtracting Integers

1.1 Introduction to integer addition
1.2 Adding integers
1.3 Introduction to integer subtraction
1.4 Subtracting integers
1.5 Application of integer operations

2. Multiplying and Dividing Integers

2.1 Understanding integer multiplication
2.2 Multiplying integers
2.3 Understanding integer division
2.4 Dividing integers
2.5 Applications of integer operations

3. Operations with Decimals

3.1 Adding and subtracting decimals
3.2 Multiplying decimals
3.3 Dividing decimals
3.4 Order of operations (BEDMAS)

4. Adding and Subtracting Fractions

4.1 Using models to add and subtract fractions
4.2 Adding fractions with like denominators
4.3 Subtracting fractions with like denominators
4.4 Adding and subtracting fractions with unlike denominators
4.5 Adding and subtracting mixed numbers

5. Multiplying and Dividing Fractions

5.1 Multiplying fractions and whole numbers
5.2 Dividing fractions with whole numbers
5.3 Multiplying proper fractions
5.4 Multiplying improper fractions and mixed numbers
5.5 Dividing fractions and mixed numbers
5.6 Applications of fraction operations

6. Introduction to Variables and Expressions

6.1 Evaluating algebraic expressions

7. Coordinates, Quadrants, and Transformations

7.1 Cartesian plane
7.2 Draw on coordinate planes
7.3 Introduction to transformations
7.4 Horizontal and vertical distances

8. Number System

8.1 Understanding the number systems
8.2 Prime factorization
8.3 Greatest Common Factors (GCF)
8.4 Least Common Multiple (LCM)
8.5 Rational vs. Irrational numbers
8.6 Converting repeating decimals to fractions

9. Set Theory

9.1 Set notation
9.2 Set builder notation
9.3 Intersection and union of 2 sets
9.4 Intersection and union of 3 sets

10. Solving Linear Equations

10.1 Solving linear equations using multiplication and division
10.2 Solving two-step linear equations: ax + b = c, x/a + b = c
10.3 Solving linear equations using distributive property: a(x + b) = c
10.4 Solving linear equations with variables on both sides
10.5 Solving literal equations

11. Introduction to Relations and Functions

11.1 Relationship between two variables
11.2 Understand relations between x- and y-intercepts
11.3 Domain and range of a function
11.4 Identifying functions
11.5 Function notation

12. Linear Functions

12.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
12.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
12.3 Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
12.4 Slope intercept form: y = mx + b
12.5 General form: Ax + By + C = 0
12.6 Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
12.7 Rate of change
12.8 Graphing linear functions using table of values
12.9 Graphing linear functions using x- and y-intercepts
12.10 Graphing from slope-intercept form y=mx+b
12.11 Graphing linear functions using a single point and slope
12.12 Word problems of graphing linear functions
12.13 Parallel and perpendicular lines in linear functions
12.14 Applications of linear relations

13. Linear Equations

13.1 Introduction to linear equations
13.2 Introduction to nonlinear equations
13.3 Special case of linear equations: Horizontal lines
13.4 Special case of linear equations: Vertical lines
13.5 Parallel line equation
13.6 Perpendicular line equation
13.7 Combination of both parallel and perpendicular line equations
13.8 Applications of linear equations

14. Absolute Value

14.1 Absolute value functions
14.2 Solving absolute value equations
14.3 Solving absolute value inequalities

15. Systems of Linear Equations

15.1 Solving systems of linear equations by graphing
15.2 Using elimination method to solve systems of equations
15.3 Using substitution method to solve systems of equations
15.4 Solving 3 variable systems of equations by substitution
15.5 Solving 3 variable systems of equations by elimination
15.6 Solving 3 variable systems of equations with no or infinite solutions
15.7 Word problems relating 3 variable systems of equations
15.8 Solving linear systems using Cramer's Rule
15.9 Solving linear systems using 2 x 2 inverse matrices

16. Inequalities in One Variable

16.1 Express linear inequalities graphically and algebraically
16.2 Solving one-step linear inequalities
16.3 Solving multi-step linear inequalities
16.4 Compound inequalities
16.5 Solving quadratic inequalities

17. Inequalities in Two Variables

17.1 Graphing linear inequalities in two variables
17.2 Graphing systems of linear inequalities
17.3 What is linear programming?
17.4 Linear programming word problems

18. Functions

18.1 Function notation
18.2 Composite functions
18.3 Inverse functions
18.4 Direct variation

19. Exponents

19.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
19.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
19.3 Exponents: Power rule (a^x)^y = a^(x * y)
19.4 Exponents: Negative exponents
19.5 Exponents: Zero exponent: a^0 = 1
19.6 Exponents: Rational exponents
19.7 Solving exponential equations using exponent rules
19.8 Scientific notation

20. Operations with Polynomials

20.1 Adding and subtracting polynomials
20.2 Multiplying monomial by monomial
20.3 Multiplying monomial by binomial
20.4 Multiplying binomial by binomial
20.5 Multiplying polynomial by polynomial
20.6 Polynomial long division
20.7 Polynomial synthetic division

21. Factoring

21.1 Factor by taking out the greatest common factor
21.2 Factor by grouping
21.3 Factoring difference of squares: x^2 - y^2
21.4 Factoring trinomials

22. Quadratic Functions

22.1 Introduction to quadratic functions
22.2 Transformations of quadratic functions
22.3 Quadratic function in general form: y = ax^2 + bx + c
22.4 Quadratic function in vertex form: y = a(x-p)^2 + q
22.5 Completing the square
22.6 Converting from general to vertex form by completing the square
22.7 Shortcut: Vertex formula
22.8 Graphing quadratic functions: General form VS. Vertex form
22.9 Finding the quadratic functions for given parabolas
22.10 Applications of quadratic functions

23. Solving Quadratic Equations

23.1 Solving quadratic equations by factoring
23.2 Solving quadratic equations by completing the square
23.3 Using quadratic formula to solve quadratic equations
23.4 Nature of roots of quadratic equations: The discriminant
23.5 Applications of quadratic equations

24. Radicals

24.1 Square and square roots
24.2 Evaluating and simplifying radicals
24.3 Operations with radicals
24.4 Conversion between entire radicals and mixed radicals
24.5 Adding and subtracting radicals
24.6 Multiplying radicals
24.7 Rationalize the denominator
24.8 Solving radical equations

25. Rational Expressions

25.1 Simplifying rational expressions and restrictions
25.2 Adding and subtracting rational expressions
25.3 Multiplying rational expressions
25.4 Dividing rational expressions
25.5 Solving rational equations
25.6 Applications of rational equations
25.7 Simplifying complex fractions
25.8 Partial fraction decomposition

26. Polynomial Functions

26.1 What is a polynomial function?
26.2 Remainder theorem
26.3 Factor theorem
26.4 Rational zero theorem
26.5 Characteristics of polynomial graphs
26.6 Multiplicities of polynomials
26.7 Imaginary zeros of polynomials
26.8 Determining the equation of a polynomial function
26.9 Applications of polynomial functions
26.10 Solving polynomial inequalities
26.11 Fundamental theorem of algebra
26.12 Descartes' rule of signs

27. Exponential Functions

27.1 Graphing exponential functions
27.2 Graphing transformations of exponential functions
27.3 Finding an exponential function given its graph
27.4 Exponential growth and decay by percentage

28. Logarithmic Functions

28.1 What is a logarithm?
28.2 Converting from logarithmic form to exponential form
28.3 Evaluating logarithms without a calculator
28.4 Common logarithms
28.5 Natural log: ln
28.6 Evaluating logarithms using change-of-base formula
28.7 Converting from exponential form to logarithmic form
28.8 Solving exponential equations with logarithms
28.9 Product rule of logarithms
28.10 Quotient rule of logarithms
28.11 Combining product rule and quotient rule in logarithms
28.12 Evaluating logarithms using logarithm rules
28.13 Solving logarithmic equations
28.14 Graphing logarithmic functions
28.15 Finding a logarithmic function given its graph

29. Conics

29.1 Conics - Parabola
29.2 Conics - Ellipse
29.3 Conics - Circle
29.4 Conics - Hyperbola

30. Imaginary and Complex Numbers

30.1 Introduction to imaginary numbers
30.2 Complex numbers and complex planes
30.3 Adding and subtracting complex numbers
30.4 Complex conjugates
30.5 Multiplying and dividing complex numbers

31. Sequences, Series, and Binomial Theorem

31.1 Arithmetic sequences
31.2 Arithmetic series
31.3 Geometric sequences
31.4 Geometric series
31.5 Infinite geometric series
31.6 Sigma notation
31.7 Binomial theorem

31 Chapters · 194 Topics · 1406 Videos

Intermediate Algebra FAQ

Unsure how StudyPug works? Need help with setting up? Check our frequently asked questions or contact us for help.

Can I sign up free to try it?

Yes — sign up free to access sample Intermediate Algebra lessons. Subscribe when you're ready for full access, with a 30-day money-back guarantee.

How much does it cost?

Plans start with one low monthly payment, with annual options for the best value. One plan covers up to 5 children and all subjects. 30-day money-back guarantee.

What's included in the subscription?

Full access to step-by-step video lessons, diagnostic assessments, adaptive practice, Photo Search, and progress tracking for Intermediate Algebra and all other courses.

How quickly will I improve in Intermediate Algebra?

Most students see better understanding within the first week. With consistent practice, expect measurable improvement in exam scores within 2-4 weeks.

Does this cover my Intermediate Algebra curriculum?

Yes — our Intermediate Algebra content covers all major topics regardless of textbook, aligned to standard high school curriculum for your region.

What topics are covered in Intermediate Algebra?

We cover quadratic functions, systems of equations, rational expressions, exponential and logarithmic functions, polynomials, radicals, and more.

How StudyPug Works
Get Started
student

Start Improving Today!

Get Started
Now on iOS and Android!Join 3M+ students improving their grades
App StoreGoogle Play
mathImage