39 multiplying rational expressions worksheet
The same principles apply when multiplying rational expressions containing variables. Before multiplying, you should first divide out any common factors to both a numerator and a denominator. To Multiply Rational Expressions 1. Factor all numerators and denominators completely. 2. Divide out common factors. 3. Worksheet Application Problems with Rational Expressions The applications will involve situations with work rate, variations, water current and speed of wind. Work rate Work rate problems usually involve two people that are trying to help each other finish a single job.
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Multiplying rational expressions worksheet
The total process of adding or subtracting rational expressions uses finding the LCD and writing equivalent fractions. The complete list of steps is below. To Add or Subtract Two Rational Expressions with Unlike Denominators 1. Determine the LCD. 2. Rewrite each fraction as an equivalent fraction with the LCD. This Rational Expressions Worksheet Reducing Rational Expressions 1. Reduce 2 9 3 x x 2. Reduce 2 2 56 1 yy y 3. Reduce 2 2 33 33 xxaxa xax x a 4. Reduce ab ba 5. Reduce 2 25 5 x x 6. Reduce 32 32 22 24 28 xx x xx x Multiplying and Dividing Expressions 1. Multiply 33 82 89 27 12 xy yx 2. Multiply 22 32 469 xx xxx These Rational Expressions Worksheets will produce problems for multiplying rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in …
Multiplying rational expressions worksheet. Multiplying Rational Expressions Version 1 Name: _____ Date: _____ Score: _____ 2 30 4 1) 45 x x x xx 2 2 13 40 5 2) 10 25 4 x x x xxx 35 25 5 3) 5 42 30 xx x 2 49 14 5 4) 35 10 6 xx xx 2 2 2 10 28 3 9 5) 692 14 x x x xxx 2 2 3 6 3 2 6) 6 22 x x x xx x Direction: Simplify by multiplying the following rational expressions. About This Quiz & Worksheet. Solving rational equations is similar to solving equations containing fractions, but with an extra step.This quiz and worksheet combo will test your ability to … Multiplying & Dividing Rational Expressions Multiply each and state the excluded values. 1) 1 x − 4 ⋅ −x2 + 9x − 20 x + 2 2) 7 b2 + 5b + 4 ⋅ b2 + 8b + 7 b + 7 3) 9r2 + 18 r r + 2 ⋅ 1 r − 2 4) 8n 4n + 4 ⋅ 4n + 4 10 5) 7a2 − 28 a a − 4 ⋅ 1 5a2 6) 1 x − 5 ⋅ 6x − 30 6 7) 1 v − 4 ⋅ v2 − 7v + 12 v + 3 8) n − 2 n2 − 13 n + 40 (n − 5) 9) k − 4 27 k2 + 27 k (3k + 3) 10) Multiplying Rational Expressions Multiply. 1) 7 b3 + 70b2 10b ⋅ 1 b + 10 2) 4n2 16n3 + 72n2 ⋅ 4n + 18 2 3) 8n 5n + 10 ⋅ 5n2 − 25n − 70 n + 3 4) 5v2 − 42v + 16 v + 9 ⋅ 1 2 − 5v 5) 4m2 − 36m m2 + 3m − 70 ⋅ m2 + 11m + 10 m2 − 8m − 9 6) b2 − 2b − 3 9 − b ⋅ b2 − 6b − 27 b2 − 2b − 3 7) 3p2 − 28p + 49 12p3 − 18p2 ⋅ 14p2 − 9p − 18
Multiplying Rational Expressions Simplify each expression. 1) 6 n 10n ⋅ 4n 10n3 2) 5p 9p3 ⋅ 7p3 4 3) b − 2 b − 1 ⋅ (b + 9)(b − 1) (b + 9)(b − 2) 4) 8(7b + 4) 10 ⋅ (b − 10)(b + 4) 8(7b + 4) 5) 4n − 24 n − 6 ⋅ 1 n − 9 6) 70 − 3n − n2 n2 + 9n − 10 ⋅ 1 n − 7 7) 15k − 50 3k − 10 ⋅ 9k 5 8) 70v − 20 5v + 5 ⋅ 5v + 5 70v − 20 9) To add and subtract rational expressions with no common factors, the LCD will be the product of all the factors of the denominators. Summary. Rational expressions are multiplied and divided the same way as numeric fractions. To multiply, first find the greatest common factors of the numerator and denominator. 6.2(a) Adding Rational Expressions Steps for nding the LCD and adding rational expressions To nd the LCD: (1) Completely factor each denominator. (2) List all factors of the rst denominator (including multiplicities). (3) Add to this list any factors of the second denominator not already listed (including multiplicities). ©C g2q0g1 U2H DKEu 1tYaZ HS0oSfVt4wmahrFep vL RLIC5. D j lAol 1l E Rr3i3gXhwtMsY tr ae 0s Re crv0eid Z.5 k uM5a3d 8eI AwNilt Qh6 CIan2f nifn bigtHeJ 1A8lTgcetbnrsak S2m.Q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Rational Expressions Date_____ Period____
These Rational Expressions Worksheets will produce problems for multiplying rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in … Rational Expressions Worksheet Reducing Rational Expressions 1. Reduce 2 9 3 x x 2. Reduce 2 2 56 1 yy y 3. Reduce 2 2 33 33 xxaxa xax x a 4. Reduce ab ba 5. Reduce 2 25 5 x x 6. Reduce 32 32 22 24 28 xx x xx x Multiplying and Dividing Expressions 1. Multiply 33 82 89 27 12 xy yx 2. Multiply 22 32 469 xx xxx The total process of adding or subtracting rational expressions uses finding the LCD and writing equivalent fractions. The complete list of steps is below. To Add or Subtract Two Rational Expressions with Unlike Denominators 1. Determine the LCD. 2. Rewrite each fraction as an equivalent fraction with the LCD. This
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