Factor. Combine. Solve. Graph. Keep the domain.
Practice simplifying and operating on rational expressions, solve rational equations, or graph rational functions while retaining every original denominator restriction. Each activity includes a separate exact answer key.
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Rational expressions
Practice ten exact sums and differences with common or unlike polynomial denominators, including multivariable monomials, higher-degree binomials and retained domain restrictions.
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Rational expressions
Practice ten exact single-quotient reductions with monomial, binomial or trinomial inputs, complete cancellation and retained original denominator restrictions.
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Rational expressions
Practice ten exact products using monomials, binomial factors and factorable polynomials, with reduced answers and retained original denominator restrictions.
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Rational expressions
Practice ten exact quotients with expanded monomials, linear binomials and factorable quadratics, fully reduced answers and all original domain restrictions.
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Rational expressions
Practice ten exact rational equations with monomial or binomial expressions, original-domain restrictions and checked rational solutions.
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Rational expressions
Graph reciprocal functions and their horizontal or vertical shifts on labeled grids, with exact asymptotes, intercepts and reference points in a separate answer key.
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Rational expressions
Analyze and graph rational functions whose numerator and denominator each have degree at most 2, including poles, removable holes and horizontal, slant or polynomial end behavior.
Preview and downloadFor simplification and arithmetic, factor before canceling and keep every original condition. For equations, record restrictions, clear the fractions and check each candidate. For graphs, classify excluded values as holes or poles before sketching separate branches.
Practice ranges from monomials through factorable quadratics, with exact polynomial arithmetic and original-domain conditions on every answer key.
Algebra 2
Simplify numerical and algebraic complex fractions, with selectable difficulty levels and original-domain restrictions in the answer key.
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