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Adding and Subtracting Rational Expressions worksheet with ten problems requiring simplification of algebraic fractions.

Worksheet titled "Adding and Subtracting Rational Expressions" with ten problems involving addition and subtraction of rational expressions, including variables and algebraic fractions.

Worksheet titled "Adding and Subtracting Rational Expressions" with ten problems involving addition and subtraction of rational expressions, including variables and algebraic fractions.

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Show Answer Key & Explanations Step-by-step solution for: Algebra 2 Worksheets | Rational Expressions Worksheets
1) $\frac{6z}{8} - \frac{7z - 4}{2z - 9} = \frac{3z(z - 11)}{4(2z - 9)}$

2) $\frac{8q}{3q + 2} - \frac{5}{6q - 8} = \frac{48q^2 - 64q - 15}{2(3q + 2)(3q - 4)}$

3) $\frac{7k^4 + 6n^4}{2k^8} - \frac{3k^4 - 8n^4}{2k^8} = \frac{2k^4 + 7n^4}{k^8}$

4) $\frac{2d^2 + 7}{6d^2 + 4} - \frac{3d^2}{6d^2 + 4} = \frac{7 - d^2}{2(3d^2 + 2)}$

5) $\frac{2}{g^2 + 4g - 12} - \frac{g + 3}{g^2 + 4g - 12} = -\frac{1}{g + 6}$

6) $\frac{-9}{y^2 - 3y + 2} - \frac{y + 3}{y^2 - 3y + 2} = -\frac{1}{y - 2}$

7) $\frac{7h + 8}{h^2 - 6h - 16} - \frac{6h}{4h} = -\frac{h^2 + 10h + 16}{4(h - 8)(h + 2)}$

8) $\frac{5s}{2} - \frac{4s + 5}{3s + 6} = \frac{15s^2 + 22s - 10}{6(s + 2)}$

9) $-9 - \frac{x - 3}{x^2 + x - 6} = -\frac{9x^2 + 8x - 51}{(x + 3)(x - 2)}$

10) $\frac{8n^3 + 8k^3}{7n^2k^2} - \frac{8n^3 + 5k^3}{7n^2k^2} = \frac{3}{7n^2}$
Parent Tip: Review the logic above to help your child master the concept of factoring polynomials worksheet with answers algebra 2.
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