Try the Free Math Solver or Scroll down to Tutorials!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

INTERMEDIATE ALGEBRA

Chapter 4 POLYNOMIALS AND POLYNOMIAL FUNCTIONS Section: 4.1 – 4.8

Outcomes:
Upon completion of this unit students will be able to perform standard polynomial operations and
solve equations involving polynomials.

A	B	C	D	F	N		Specific Competencies Demonstrate the ability to:
						4.1	Define monomial and determine the coefficient and degree of a monomial.
						4.1	Define polynomial and determine the degree of a polynomial.
						4.1	Simplify polynomials by combining like terms.
						4.1	Evaluate polynomial functions.
						4.1	Add and subtract polynomial functions.
						4.2	Multiply a monomial and a polynomial.
						4.2	Multiply a binomial by a binomial.
						4.2	Multiply a polynomial by a polynomial.
						4.2	Multiply a polynomial by a polynomial.
						4.2	Multiply polynomial functions.
						4.3	Divide a polynomial by a monomial.
						4.3	Divide polynomials using long division.
						4.3	Divide polynomials using synthetic division.
						4.3	Divide polynomial functions.
						4.3	Use the remainder and factor theorems.
						4.4	Factor the greatest common factor.
						4.4	Factor by grouping.
						4.5	Factor trinomials of the form x² + bx + c.
						4.5	Factor trinomials of the form ax² + bx + c.
						4.5	Factor trinomials using substitution.
						4.6	Factor perfect square trinomials.
						4.6	Factor the difference of two squares.
						4.6	Factor the sum or difference of two cubes.
						4.7	Factor polynomials completely.
						4.7	Write polynomial functions in factored form.
						4.8	Solve polynomial equations using the zero-product property.
						4.8	Solve equations involving polynomial functions.
						4.8	Model and solve problems involving polynomials.

Chapter 5 RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS Section: 5.1 – 5.6

Outcomes: Upon completion of this unit students will be able to solve equations involving rational expressions.

A	B	C	D	F	N		Specific Competencies Demonstrate the ability to:
						5.1	Determine the domain of a rational expression.
						5.1	Simplify rational expressions.
						5.1	Multiply rational expressions.
						5.1	Divide rational expressions.
						5.1	Work with rational functions.
						5.2	Add or subtract rational expressions with a common denominator.
						5.2	Find the least common denominator of two or more rational expressions.
						5.2	Add or subtract rational expressions with different denominators.
						5.3	Simplify a complex rational expression by simplifying the numerator and denominator separately
						5.3	Simplify a complex rational expression using the least common denominator.
						5.4	Solve equations containing rational expressions.
						5.4	Solve equations involving rational functions.
						*5.5	Solve a rational inequality.
						5.6	Solve for a variable in a rational expression.
						5.6	Model and solve ratio and proportion problems.
						5.6	Model and solve work problems.
						5.6	Model and solve uniform motion problems.

Chapter 6 RADICALS AND RATIONAL EXPONENTS Section: 6.1 – 6.8

Outcomes:
Upon completion of this unit students will be able to simplify expressions containing rational
exponents and radicals and solve equations containing such expressions.

A	B	C	D	F	N		Specific Competencies Demonstrate the ability to:
						6.1	Evaluate nth roots.
						6.1	Simplify expressions that are in radical form.
						6.1	Evaluate expressions of the form a^1/n.
						6.1	Evaluate expressions of the form a^m/n.
						6.2	Use the laws of exponents to simplify expressions involving rational exponents.
						6.2	Use the laws of exponents to simplify radical expressions
						6.2	Factor expressions containing rational exponents.
						6.3	Use the product property to multiply radical expressions.
						6.3	Use the product property to simplify radical expressions.
						6.3	Use the quotient property to simplify radical expressions.
						6.3	Multiply radicals with unlike indices.
						6.4	Add or subtract radical expressions.
						6.4	Multiply radical expressions.
						6.5	Rationalize a denominator containing one term.
						6.5	Rationalize a denominator containing two terms.
						6.6	Evaluate functions whose rule is a radical expression.
						6.6	Find the domain of a function whose rule contains a radical.
						6.6	Graph functions involving square roots.
						6.6	Graph functions involving cube roots.
						6.7	Solve radical equations containing one radical.
						6.7	Solve radical equations containing two radicals.
						*6.7	Solve for a variable in a radical equation.
						6.8	Evaluate the square root of negative real numbers.
						6.8	Add or subtract complex numbers.
						6.8	Multiply complex numbers.
						6.8	Divide complex numbers.
						6.8	Evaluate the powers of i.