Algebra 2 : Algebra 2 Rational Expressions
Lesson 1: Simplifying Rational Expressions : Lesson 1: Simplifying Rational Expressions Greatest Common Factor- Product of all common factors, abbreviated GCF.
Simplifying a rational expression- reducing a rational expression to its lowest terms.
Rule: to simplify a rational expression, divide all the common factors in numerator or denominator. That is, divide both numerator and denominator by the GCF.
We’ll turn to the whiteboard to review some of the examples on page 181.
Lesson 2: Adding and Subtracting Rational Expressions : Lesson 2: Adding and Subtracting Rational Expressions You add and subtract fractions like you would normal arithmetic fractions, you just have to make sure the expressions have a common denominator in order to add or subtract them.
Let’s look at the white board to review the examples together.
Lesson 3: Multiplying Rational Expressions : Lesson 3: Multiplying Rational Expressions To multiply two rational expressions, multiply one numerator by the other numerator and one denominator by the other denominator.
Let’s view the whiteboard for further clarification.
Lesson 4: Dividing Rational Expressions : Lesson 4: Dividing Rational Expressions Rule: to divide a/b by c/d, multiply by the reciprocal. a/b divided by c/d becomes a/b times d/c.
Lets look at the whiteboard for examples.
Lesson 5: Geometry Connection- Similar Figures : Lesson 5: Geometry Connection- Similar Figures Similar Figures- figures with equal angles and proportional corresponding sides.
For instance you are told that triangle a and b are proportional and that a/b= ¼ this means that triangle a is 1 and b is 4. If B= 20 then what is a? set up the problem like ¼=a/20
Cross multiply so multiply one denominator by the opposite numerator. 4a=20(1)
4a=20 divide both sides by 4. a=5