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Simplifying Equations Worksheet

This worksheet provides practice problems for simplifying various types of algebraic equations, suitable for Grade 12 students.

Grade 12 Math AlgebraSimplifying Equations
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Includes

4 Short Answer

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.SSE.A.2

Topics

AlgebraSimplifying EquationsGrade 12Math
6 sections · Free to use · Printable
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Simplifying Equations

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Simplify each of the following equations. Show all your work for full credit.

1. Simplify the following rational expression: (x^2 - 9) / (x^2 - 6x + 9)

2. Simplify: (x^2 + 5x + 6) / (x + 2)

3. Simplify the radical expression: √(72x^5y^4)

4. Simplify: ³√(16a^7b^9)

5. Simplify the complex fraction: ( (1/x) + (1/y) ) / ( (x+y)/(xy) )

6. Simplify: ( (a - (1/a)) / (1 + (1/a)) )

7. Simplify the exponential expression: (3x^2y^-3)^2 * (2x^-1y^4)

8. Simplify: ( (a^5b^-2) / (a^-3b^4) )^-2