Algebra methods
- How to find the asymptotes of a rational function
Learn how to find the vertical, horizontal, and slant asymptotes of a rational function using polynomial degrees and limits.
- How to simplify a complex fraction
Learn to simplify complex fractions by multiplying the numerator and denominator by the least common denominator of all minor fractions.
- How to divide polynomials using synthetic division
A step-by-step guide to performing synthetic division for polynomials divided by linear binomials.
- How to find all zeros of a polynomial using the rational root theorem
Learn how to find all zeros of a polynomial using the Rational Root Theorem, synthetic division, and factorization techniques.
- How to factor a polynomial by grouping
Learn how to factor a polynomial by grouping terms, factoring out the GCF from each group, and identifying a common binomial factor.
- How to solve a logarithmic equation
Learn how to solve logarithmic equations by condensing logs, converting to exponential form, and isolating the variable, with checks for extraneous solutions.
- How to expand and condense logarithmic expressions
Learn how to use the product, quotient, and power rules of logarithms to expand or condense algebraic expressions.
- How to solve an exponential equation using logarithms
A step-by-step guide to solving exponential equations by isolating the base and applying logarithms.
- How to solve a system with one linear and one quadratic equation
Learn how to solve a system containing one linear and one quadratic equation using the substitution method.
- How to simplify expressions with negative and fractional exponents
Learn how to simplify expressions involving negative and fractional exponents using standard algebraic rules.
- How to solve a 3x3 system of linear equations
Learn how to solve a 3x3 system of linear equations using the method of elimination to reduce it to a 2x2 system.
- How to solve a quadratic inequality
Learn to solve quadratic inequalities by finding roots, testing intervals, and expressing the solution set.
- How to solve a system of equations by substitution
Learn to solve a system of linear equations using the substitution method with a step-by-step procedure, worked example, and error checking.
- How to solve a system of equations by elimination
Learn how to solve a system of linear equations using the elimination method by manipulating and adding equations to cancel a variable.
- How to find the vertex of a parabola from standard form
Calculate the vertex of a quadratic function in standard form using the formula x = -b/(2a) and substituting to find y.
- How to use the quadratic formula
Learn how to use the quadratic formula to find the roots of a quadratic equation, including the setup, step-by-step procedure, and common errors.
- How to solve a quadratic by completing the square
Learn the exact procedure to solve any quadratic equation by completing the square to isolate the variable.
- How to solve a quadratic equation by factoring
Solve quadratic equations by rewriting them in standard form, factoring into binomials, and applying the zero product property.
- How to solve a radical equation
Learn how to solve a radical equation by isolating the radical, raising both sides to the appropriate power, and checking for extraneous solutions.
- How to solve an absolute value equation
Learn the standard method to solve absolute value equations by isolating the term and splitting it into positive and negative cases.
- How to solve an equation with variables on both sides
Learn how to solve linear equations with variables on both sides by isolating the variable using algebraic operations.
- How to solve a linear equation with fractions
Clear fractions from a linear equation by multiplying every term by the least common denominator.
- How to solve a rational equation and check for extraneous solutions
Learn how to solve rational equations by multiplying by the least common denominator and identifying extraneous solutions.