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Student/Teacher Actions (what students and teachers should be doing to facilitate learning). 1. Distribute copies of the attached Solving Rational Equations: Introductory Exercise handout, and have students complete it, working individually and then in pairs to share and confirm or revise their responses. Follow with a class
O q 8M8axdSeZ QwFi1tRhq rIznPfkiWnaiPtZen iAulkgOesbKr0aV m2C.s. Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2. Name___________________________________. Period____. Date________________. Solving Rational Equations. Solve each equation. Remember to check for extraneous
Rational Expressions. 6.5 Rational Equations. 6.6 Applications of Rational Equations and Proportions. 403. 6. 2. 1. 3. 4. 5. 7. 6. Across. 3. Expression of the form a/b. 5. Two triangles in which corresponding sides are proportional. 7. Equation of the form a/b = c/d. Down. 1. Fraction with fractions in numerator and denominator.
25 Jul 2003 SOLVING RATIONAL EQUATIONS EXAMPLES. 1. Recall that you can solve equations containing fractions by using the least common denominator of all the fractions in the equation. Multiplying each side of the equation by the common denominator eliminates the fractions. This method can also be used
28 Nov 2016 Steps to Solve a Rational Equation: • Find LCD. • State the domain restrictions. • Multiply every term by the LCD. • (This cancels the denominators). • Solve. • Check solutions. Page 5. Solving Rational Equations.notebook. 5. November 28, 2016. Solve: Page 6. Solving Rational Equations.notebook. 6.
The most common approach to solving rational equations is to convert them into the equality of two polynomials by developing the Least Common Denominator (LCD). By multiplying both parts of the equation by the LCD, the denominators are eliminated from all the terms of the equation, presenting them in a usual form that
Rational Equations. 7.6. 7.6 OBJECTIVES. 1. Solve a literal equation that involves a rational expression. 2. Solve a distance problem that involves a rational equation. 3. Solve a work problem. 4. Convert units. In the previous section, we solved rational equations. In this section we will see several applications of those
7.7 Solving Rational Equations. When simplifying complex fractions in the previous section, we saw that multiplying both numerator and denominator by the appropriate expression could “clear" all frac- tions from the numerator and denominator, greatly simplifying the rational expression. In this section, a similar technique is
Elementary Algebra Skill. Solving Rational Equations. Solve each equation. Remember to check for extraneous solutions. 1) a + 1. 5a. ?. 1 a. = 1. 2). 6v ? 6 v. 2. +. 2 v. 2. = 1 v. 2. 3). 1 n. 2. +. 4 n. = 3 n. 2. 4). 4 x. +. 1 x. 2. = 1. 5x. 2. 5). 1 k. 2. = 1. 3k. 2. + k + 5. 3k. 2. 6) x ? 5 x. 2. +. 1 x. = 6 x. 7). 6 k. ?. 1 k. 2 + 6k. = 1 k. 8). 4.
§3-4. RATIONAL EQUATIONS. Definition. Rational equations are equations involving rational expressions. The technique for solving rational equations is called clearing the fractions. Procedure. Clearing the Fractions. 1. Factor all polynomial expressions. 2. Multiply through by the common denominator of all the terms. 3.
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