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Get Instant CLEP College Algebra Help: Practice Tests + Video Solutions

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CLEP College Algebra Topics

Adding and Subtracting Integers

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Multiplying and Dividing Integers

Multiplying integers

Dividing integers

Order of operations (PEMADS)

Primes and Common Factors

Prime factorization

Least Common Multiple (LCM)

Greatest Common Factors (GCF)

Fractions

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Multiplying proper fractions

Dividing fractions and mixed numbers

Decimals

Adding and subtracting decimal numbers

Multiplying decimal numbers

Dividing decimal numbers

Scientific notation

Rational vs. Irrational numbers

Expressions and Equations

Patterns

Adding and subtracting polynomials

Multiplying polynomials by monomials

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving one - step equations: x + a = b

Solving linear equations with variables on both sides

Introduction to Equations

Evaluating algebraic expressions

Solving literal equations

Applications of polynomial functions

Money related questions in linear equations

Absolute Value and Equations

Absolute value functions

Solving absolute value equations

Solving absolute value inequalities

Graphing Inequalities

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Graphing linear inequalities in two variables

Linear Equations

Word problems of graphing linear functions

Rate of change

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

General form: Ax + By + C = 0

Point-slope form: \(y - y_1 = m (x - x_1)\)

Parallel and perpendicular lines in linear functions

Graphing Functions

Domain and range of a function

Identifying functions

Function notation

Graphing linear functions using x- and y-intercepts

Determining number of solutions to linear equations

Using elimination method to solve systems of equations

Using substitution method to solve systems of equations

Solving systems of linear equations by graphing

Exponents and Multiplying Polynomials

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Power rule (a^x)^y = a^(x * y)

Exponents: Division rule (a^x / a^y) = a^(x-y)

Combining the exponent rules

Exponents: Zero exponent: a^0 = 1

Multiplying binomial by binomial

Solving linear equations using distributive property: a(x + b) = c

Factoring

Common factors of polynomials

Factor by taking out the greatest common factor

Factoring polynomials: \(ax^2 + bx + c\)

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Factoring difference of squares: x^2 - y^2

Introduction to quadratic functions

Factoring polynomials by grouping

Factoring polynomials: x^2 + bx + c

Evaluating polynomials

Word problems of polynomials

Radical Expressions and Quadratic Equations

Evaluating and simplifying radicals

Converting radicals to mixed radicals

Imaginary and Complex Numbers

Introduction to imaginary numbers

Adding and subtracting complex numbers

Multiplying and dividing complex numbers

Complex conjugates

Solving Quadratic Equations

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Solving quadratic equations using the quadratic formula

Nature of roots of quadratic equations: The discriminant

Applications of quadratic equations

Ratio, Proportion, Area, and Perimeter

Ratios

Similar polygons

Surface Area and Volume

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Probability and Statistics

Median and mode

Mean

Application of averages

Introduction to probability

Organizing outcomes

Probability of independent events

Fundamental counting principle

Combinations

Permutations

Coordinate Geometry

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Midpoint formula: \(M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)\)

Solving second degree trigonometric equations

Negative and Rational Exponents

Rational exponents

Solving radical equations

Basic radical functions

Composite Functions and Inverses

Composite functions

Inverse functions

Logarithms and Exponential Functions

What is a logarithm?

Evaluating logarithms without a calculator

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Solving logarithmic equations

Evaluating logarithms using change-of-base formula

Exponential growth and decay by a factor

Exponential decay: Half-life

Natural log: ln

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Get Instant CLEP College Algebra Help: Practice Tests + Video Solutions

Most students boost their grades within weeks. Start your free practice test now and join thousands of students improving their CLEP College Algebra performance with StudyPug.

✅ 95% of students improve grades within 30 days

📈 Average grade increase of 15% after 8 weeks

🏆 Over 10,000 CLEP College Algebra practice problems solved daily

⭐ 4.8/5 star rating from 50,000+ satisfied students

Clear Video Solutions

Better Grades

Comprehensive Practice

CLEP College Algebra Topics

Adding and Subtracting Integers

Multiplying and Dividing Integers

Primes and Common Factors

Fractions

Decimals

Expressions and Equations

Introduction to Equations

Absolute Value and Equations

Graphing Inequalities

Linear Equations

Graphing Functions

Exponents and Multiplying Polynomials

Factoring

Radical Expressions and Quadratic Equations

Imaginary and Complex Numbers

Solving Quadratic Equations

Ratio, Proportion, Area, and Perimeter

Surface Area and Volume

Probability and Statistics

Coordinate Geometry

Negative and Rational Exponents

Composite Functions and Inverses

Logarithms and Exponential Functions

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