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Multiply and Divide Algebraic Fractions (A) WORKSHEET
Suitable for Grades: Algebra I, IM 1
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%
Multiply and Divide Algebraic Fractions (A) WORKSHEET DESCRIPTION
Multiply and Divide Algebraic Fractions (A) helps students develop mastery in simplifying algebraic expressions.
In Section A, students are tasked with writing 8 algebraic expressions as a single fraction in its simplest form. These are a set of minimally different and increasingly difficult questions that will build students' confidence.
Section B is a fill-in-the-blank task. Encouraging learners to problem solve and think forward and backwards.
Section C challenges students to spot, explain, and correct errors in provided examples.
The worksheet also includes multiplication pyramids in Section D, adding an engaging twist to practicing algebraic fraction multiplication.
This resource is ideal for solidifying core skills, ensuring students are fully equipped to handle algebraic fractions confidently.
None of the expressions are binomial, and students are not required to factorize or expand quadratics.
