You must make sure to know the difference between rational expressions and rational equations. 25 4 + =− y y 6. They are used to solve a variety of problems that involve rates, times and work. Remember to check for extraneous solutions. 1) 1 6 k2 = 1 3k2 − 1 k 2) 1 n2 + 1 n = 1 2n2 3) 1 6b2 + 1 6b = 1 b2 4) b + 6 4b2 + 3 2b2 = b + 4 2b2 5) 1 x = 6 5x + 1 6) 1 6x2 = 1 2x + 7 6x2 7) 1 v + 3v + 12 v2 − 5v = 7v − 56 v2 − 5v 8) 1 m2 − m + 1 m = 5 m2 − m 9) 1.

3 3 1 − = − − y y y 7. Free trial available at kutasoftware.com. Web solving rational equations 2 date_____ period____ solve each equation. These fractions can be on one or both sides of the equation.

Exercise \(\pageindex{a}\) \( \bigstar \) simplify or solve, whichever is appropriate A rational equation is an equation that contains at least one fraction whose numerator and denominator are polynomials. Converting to a common denominator:

Rational equations are equations that contain fractions with polynomials in the numerator and denominator. 3x 7 5 1 3 2 − = 4. _____ 2 1 2 1) x 1 3 3 x 1 45 2) 1 xx55 x 4 42 3) 33 xx xx 1 2 x 22 1 1 2 4) x x x2 x 2 xx 12 1, 4 direction: 25 4 + =− y y 6. 4 5 2 3 + = x+ x 8.

6 1 5 3 1 − = x 3. Web rational equations version 1 name: Web practice solving rational equations that have one or more extraneous solutions.

Web Rational Equations Worksheets Involve Questions Based On Factoring And Reducing The Equation Into Simpler Forms.

2 3 2 2 1 + = + − x x x 9. Web rational equations worksheet solve the rational equations exercise 1 exercise 2 exercise 3 exercise 4 exercise 5 two taps a and b fill a swimming pool together in two hours. Remember to check for extraneous solutions. Web use these rational equation worksheets to teach your students how to solve various problems dealing with rational equations and the variables that are found within them.

Rational Equations Are Equations That Contain Fractions With Polynomials In The Numerator And Denominator.

Check your answers for extraneous solutions. Web solving rational equations notes, examples, and practice (with solutions) topics include cross multiplying, word problems, factoring, inequalities, extraneous answers, and more. Web solving rational equations solve the following equations using the lcd to clear fractions first. Converting to a common denominator:

The Equation Contains An Equal Sign.

3 1 2 1 6 2 + = x 5. The following figure shows how to solve rational equations. 5 9 4 3 1 x + = 2. Remember to check for extraneous solutions.

1) 3 M2 = M − 4 3M2 + 2 3M2 2) 1 N = 1 5N − N − 1 5N 3) 1 3X2 = X + 3 2X2 − 1 6X2 4) 4 N2 = 5 N − 1 N2 5) 3N + 15 4N2 = 1 N2 − N − 3 4N2 6) 1 2N2 + 5 2N = N − 2 N2 7) X − 6 X = X + 4 X + 1 8) 1 2N + 1 4N2 = 1 4N 9.

Free trial available at kutasoftware.com. In this method, you need to get a common denominator for both sides of the equation. 3x 7 5 1 3 2 − = 4. Exercise \(\pageindex{a}\) \( \bigstar \) simplify or solve, whichever is appropriate

Solve equations with rational expressions. Remember to check for extraneous solutions. 2 3 2 2 1 + = + − x x x 9. They are used to solve a variety of problems that involve rates, times and work. Clear the fractions by multiplying both sides of the equation by the lcd.