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Mastering Rational Expressions: A Practical Guide for High School Algebra

Understand, simplify & solve rational expressions with step-by-step examples in this comprehensive high school algebra guide. Learn to rewrite and manipulate algebraic rational expressions effortlessly. Enhance your skills in arithmetic with polynomials and rational expressions.

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Mastering Rational Expressions: A Practical Guide for High School Algebra

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  1. Warm Up S O L V E

  2. Building, Understanding and Simplifying Rational Expressions

  3. KCAS High School Algebra Arithmetic with Polynomials and Rational Expressions (A-APR) Rewrite rational expressions Standard (A-APR.7) – (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. I can simplify a rational expression.

  4. Start with a simple fraction like

  5. Multiply both the numerator and denominator by the arbitrary number 5.

  6. Let x represent the number 3. When x = 3, then 4 becomes x + 1 And 5 becomes x + 2 Why?

  7. Now the fraction becomes WHY?

  8. Use the distributive property and the multiplication of binomials to reveal : An Algebraic Rational Expression

  9. You can now check yourself by replacing x with 3. What is the result?

  10. You can now reverse this thinking process to simplify any algebraic rational expression.

  11. Try the whole process with And multiply by Check your results and then work backwards to simply your algebraic rational expression.

  12. Try and multiply by Check your results and then work backwards to simply your algebraic rational expression.

  13. Try and multiply by Check your results and then work backwards to simply your algebraic rational expression.

  14. Ready?

  15. Simplify Each: 1. 2.

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