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Chapter 6. Lesson 1; Algebraic Fractions. “If we did all the things we were capable of doing, we would literally astound ourselves. “ -- Thomas Edison. To simplify algebraic fractions. Objective. Simplify:
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Chapter 6 Lesson 1; Algebraic Fractions
“If we did all the things we were capable of doing, we would literally astound ourselves. “ -- Thomas Edison
To simplify algebraic fractions Objective
Simplify: When the numerator and denominator of an algebraic fraction have no common factor other than 1 and -1, the fraction is said to be in simplest form. To simplify a fraction, first factor the numerator and denominator. Then cancel out what you can. Restrict the variables. Example 1
Simplify: Restrict the variables?? x≠ -1/2 x≠ -3 Example 2
Simplify: Restrict the variables?? x≠ 1 x≠ -2 Example 3
Solve for x: • Collect all terms with “x” on one side and all other terms on the other side. • Factor both sides • Divide both sides by the coefficient of “x” • x= a+b (a≠b) Example 4
Simplify. Give any restrictions on the variable. Which is not a restriction on the variable? • -2/3 • 2/3 • -3/2 Try it…
Pg. 249; 1-25 (odd) Homework