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Teachers might also cover inverse functions and properties of logarithms, according to the University of Missouri. The course description for a college algebra course lists how many credit hours a student will receive when she completes the requirements and passes the class. Most college algebra courses are worth three or four credit hours. For example, students who pass an entry-level college algebra course at the University of Akron receive four credit hours.
Students enrolled at Texas State University in San Marcos, Florida State College in Jacksonville or the University of Minnesota in Minneapolis receive three credit hours upon completion of similar college algebra classes.
Each university has prerequisites that students must meet to enroll in entry-level college algebra courses. Some universities require students to take school-issued math placement tests to determine eligibility; others require students to score certain marks on college placement exams, such as the ACT or SAT. For example, Texas State University requires students to score a minimum of a 21 on the math section of the ACT, a on the math section of the SAT, a 26 on the school's math placement exam or pass a level college math course.
In this chapter I explain what "x" is, what expressions are, how to plug in values to "evaluate" expressions, and how to turn word problems into equations so you can solve them. We'll also go over how to check whether a number is a solution of an equation or not.
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Combining Like Terms Distribution a. Combining "like terms", adding and subtracting polynomials and monomials. Also covered: distribution a. Cross "multiplication" refers to what you do when you have two fractions across an equal sign from each other. You cross "cancel" when you are multiplying fractions. Confused yet? This chapter will sort you out. Ratios are mostly word problems that lead to cross multiplication equations, and most students find them pretty basic.
College Algebra Materials
In this chapter we'll work some typical problems about marbles and pizzas, and I'll emphasize the one trick they always pull on the SAT. Problems where you have to simplify a giant fraction which has more fractions inside the numerator and denominator. Example problems include: How far did someone drive in 3 hours? If two trains leave stations and different times, how long until they pass each other? What units should my answer be, and how do I convert?
Slope-Intercept Form, Point-Slope Form, Standard Form, Vertical Lines, Horizontal Lines, Perpendicular Lines: in this chapter, we experience the splendor of all the different types of linear functions, and master the equations and graphing of each. When a word problem talks about two things being "proportional", this is what they're talking about. Or maybe they're "inversely proportional". We'll also cover systems of inequalities, "and" vs "or", etc.
For other types of inequalities, try this page.
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Absolute value signs i. If you need to graph absolute value functions, check out the library functions page.
Math 140 - College Algebra
Whenever you're given two or three equations at the same time, they're "simultaneous equations. I also demonstrate solving three equations, three unknowns. Combining exponents, canceling terms, multiplying rational expressions and equations, multiplying and dividing variables with various exponents, negative exponents: if it's got an exponent, this chapter covers it.
In these videos we'll cover all forms of factoring polynomials, from "factoring stuff out" to quadratics to sum and difference of cubes. This chapter covers everything you'll ever be asked to do to or with a root or a "rational" fraction exponent. All is not as it seems in this exciting and short chapter. We're talking square roots of negative numbers, finding high exponents of "i" like i 27 , and rationalizing imaginary and complex denominators.
In this chapter we take a look at how to solve equations where the variable is under a square root or a radical. Often we'll be able to simply square both sides of the equation, but we'll always have to be careful to check for extraneous solutions. Rational Equations are the problems where you have a bunch of x's and x 2 's in the denominator of a giant fraction, and you have to find the least common denominator and simplify in order to solve for X. In this chapter we'll return to the Big Three of inequalities -- number lines, test points, and interval notation -- for perhaps the final time nostalgic yet?
And I teach a great method using tables to solve nasty word problems involving stuff like boats rowing upriver and faucets filling tubs. In this chapter we'll introduce functions, the vertical line test, function notation i. Also introduced are domain, range, finding inverse functions, x-intercepts, y-intercepts, and graphing functions. Usually in math, the names don't make any sense.
But this is an exception: "even" and "odd" refer to whether the exponents on the x's are even or odd! Graphing Library Functions a. Time to master graphing all kinds of standard functions a. We'll also cover those Frankenstein-esque combo functions: piecewise functions. By popular demand, this short video explains the process of finding x-intercepts and y-intercepts for any function.
These are also known as "zeroes" of a function, and you'll see why by the end of this. Free Course College Algebra by. About this Course Math is everywhere. Course Cost Free. Timeline Approx. Skill Level.
MTH College Algebra | ECPI University
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