Rational Equation Worksheet
Rational Equation Worksheet - Web a rational equation is an equation that contains a rational expression. Create your own worksheets like this one with infinite precalculus. Exercise \(\pageindex{a}\) \( \bigstar \) simplify or solve, whichever is appropriate Note any value of the variable that would make any denominator zero. Web rational equations version 1 name: 3 3 1 − = − − y y y 7. 1) k + 4 4 + k − 1 4 = k + 4 4k 2) 1 2m2 = 1 m − 1 2 3) n2 − n − 6 n2 − 2n + 12 n = n − 6 2n 4) 3x2 + 24 x + 48 x2 + x − 6 2x2 = 1 x2 5) k2 + 2k − 8 3k3 = 1 3k2 + 1 k2 6) k 3 − 1 3k = 1 k 7) x − 4 6x + x2 − 3x. 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. They are used to solve a variety of problems that involve rates, times and work. Remember to check for extraneous solutions.
2 3 2 2 1 + = + − x x x 9. Show all your work in the space provided. Scroll down the page for more examples and solutions. The following figure shows how to solve rational equations. 1) k + 4 4 + k − 1 4 = k + 4 4k 2) 1 2m2 = 1 m − 1 2 3) n2 − n − 6 n2 − 2n + 12 n = n − 6 2n 4) 3x2 + 24 x + 48 x2 + x − 6 2x2 = 1 x2 5) k2 + 2k − 8 3k3 = 1 3k2 + 1 k2 6) k 3 − 1 3k = 1 k 7) x − 4 6x + x2 − 3x. 4 5 2 3 + = x+ x 8. Web solving rational equations notes, examples, and practice (with solutions) topics include cross multiplying, word problems, factoring, inequalities, extraneous answers, and more.
Web examples, solutions, videos, worksheets, and activities to help algebra students learn how to solve rational equations. 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. Note any value of the variable that would make any denominator zero. These fractions can be on one or both sides of the equation. Web solving rational equations worksheets involve questions based on factoring and reducing the equation into simpler forms.
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Web solving rational equations date_____ period____ solve each equation. The equation contains an equal sign. Web rational equations version 1 name: Scroll down the page for more examples and solutions. Web solving rational equations notes, examples, and practice (with solutions) topics include cross multiplying, word problems, factoring, inequalities, extraneous answers, and more. Free trial available at kutasoftware.com.
You can check your answers by watching the video on extraneous solutions. Remember to check for extraneous solutions. _____ 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: Solve equations with rational expressions. 3.\:\:\frac {x+5} {x+3}=\frac {2} {x+3} 4.\:\:\frac.
3 1 2 1 6 2 + = x 5. 25 4 + =− y y 6. 1) k + 4 4 + k − 1 4 = k + 4 4k 2) 1 2m2 = 1 m − 1 2 3) n2 − n − 6 n2 − 2n + 12 n = n − 6 2n 4) 3x2 + 24 x + 48 x2 + x − 6 2x2 = 1 x2 5) k2 + 2k − 8 3k3 = 1 3k2 + 1 k2 6) k 3 − 1 3k = 1 k 7) x − 4 6x + x2 − 3x. Get free worksheets in your inbox!
In This Method, You Need To Get A Common Denominator For Both Sides Of The Equation.
Web examples, solutions, videos, worksheets, and activities to help algebra students learn how to solve rational equations. Clear the fractions by multiplying both sides of the equation by the lcd. Note any value of the variable that would make any denominator zero. 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.
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.
25 4 + =− y y 6. They are used to solve a variety of problems that involve rates, times and work. For solving rational equations, we can use following methods: A rational equation is an equation that contains at least one fraction whose numerator and denominator are polynomials.
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.
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. Remember to check for extraneous solutions. Scroll down the page for more examples and solutions. 1 5 1 2 4 − = − + x x x 10.
3 1 2 1 6 2 + = X 5.
Then, make numerators equal and solve for the variable. 6 1 5 3 1 − = x 3. Create your own worksheets like this one with infinite precalculus. The following figure shows how to solve rational equations.