Math M03 Moorpark College printable pdf download

MATH M03: Intermediate Algebra

Course Objectives (COR)

 Solve linear and literal equations for a specified variable.

 Solve absolute value equations and absolute value inequalities.

 Determine if a relation is a function using the vertical line test and identify the domain.

 Graph linear equations and test whether two lines are parallel, perpendicular, or neither.

 Write the equation of a line in point-slope form, slope-intercept form, and standard form.

 Solve a system of equations in three variables by substitution or by the elimination method

and solve applications.

 Factor polynomials including the sum and difference of cubes.

 Evaluate polynomial functions and solve polynomial equations by factoring and using the

zero factor property.

 Simplify rational expressions, perform operations with rational expressions, simplify

complex fractions, and determine the domain of a simple rational function.

 Divide by a polynomial using long division.

 Solve equations containing rational expressions and applications.

 Simplify rational exponent expressions using the properties of exponents and convert to

radical notation.

 Put radical expressions into simplest radical form, perform operations with radicals, solve

equations containing radical expressions, and determine domain of a simple radical function.

 Add, subtract, multiply and divide complex numbers.

 Solve quadratic equations by each of the following methods where applicable: factoring, the

square root method, completing the square, and the quadratic formula.

 Solve equations that are in quadratic form and solve quadratic equations involving radicals

and substitution.

 Solve non-linear inequalities in one variable.

 Graph quadratic functions showing the vertex and intercepts.

 Find the sum, difference, product, quotient, and composition of two functions.

 Identify one-to-one functions and use the horizontal line test to determine whether or not a

function is one-to-one, and find the inverse of a one-to-one function.

 Describe the relationship between the function and its inverse geometrically and

algebraically.

 Graph exponential and logarithmic functions, and convert equations from exponential form

to logarithmic form and vice versa.

 Use logarithmic properties to rewrite logarithmic expressions, and solve logarithmic and

exponential equations and related applications.

Math M03 Moorpark College