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Simplifying Rational Expressions (B) WORKSHEET
Suitable for Grades: Algebra II, IM 2
CCSS: HSA.APR.D.6, HSA.SSE.B.3
CCSS Description: Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
Simplifying Rational Expressions (B) WORKSHEET DESCRIPTION
This worksheet provides plenty of consolidation of multiplying, dividing, adding, and subtracting with algebraic fractions. Section A focuses on multiplication and division; learners will also need to factor quadratics as part of the simplification process. Section B focuses on addition and subtraction, where learners will need common denominators to combine the fractions and then simplify the answer.
