Use number lines A good way to get a picture of a set of numbers is by using a number line. To construct a number line, choose any point on…
Month: May 2014
Write sets using set notation
Write sets using set notation A set is a collection of objects called the elements or members of the set. In algebra, the elements of a set are usually numbers.…
Simplifying Complex Rational Expressions
Simplifying Complex Rational Expressions A complex rational expression, or complex fraction expression, is a rational expression that has one or more rational expressions within its numerator or denominator. Here are…
Subtracting Rational Expressions
Subtracting Rational Expressions We subtract rational expressions as we do rational numbers. To subtract when the denominators are the same, subtract the numerators and keep the same denominator. Then simplify…
Adding Rational Expressions
Adding Rational Expressions Adding Rational Expression with Like Denominators To add when the denominators are the same, add the numerators and keep the same denominator. Then simplify if possible.…
LCMs of Algebraic Expressions
LCMs of Algebraic Expressions To find the LCM of two or more algebraic expressions, we factor them. Then we use each factor the greatest number of times that it…
Adding Using the LCD
Adding Using the LCD Let’s finish adding and : The least common denominator, LCD, is 2 . 2 . 3 . 5. To get the LCD in…
Least Common Multiples
Least Common Multiples To add when denominators are different, we first find a common denominator. For a review, see Appendixes A and B. We know, for example, that to add…
Maximum–Minimum Problems
Maximum–Minimum Problems We have seen that for any quadratic function f(x) = ax2 + bx + c, value of f(x) at the vertex is either a maximum or a…
Rational Expressions and Replacements
Rational Expressions and Replacements Rational numbers are quotients of integers. Some examples are , , . The following are called rational expressions or fraction expressions. They are quotients,…
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