Simplify Algebraic Fractions (B) WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSA.APR.D.6
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.
Simplify Algebraic Fractions (B) WORKSHEET DESCRIPTION
This worksheet focuses on the simplification of complex algebraic fractions. Students will be factorizing mono and non-monic quadratic expressions throughout.
In Section A learners will match up pairs equivalent fractions, encouraging them to see the expressions in factored and expanded form.
Next, students complete a fill the blanks task which will challenge yet guide them through the process of simplification. There are 6 questions to complete which increase in difficulty.
Students are required to work forwards and backwards here to solve the problems.
Now learners are ready to simplify the algebraic fractions unguided. Section C consists of 15 further questions that again increase in difficulty as the section progresses.
