Rational ExpressionsFractions with algebra in them — and the values that are…10th GradeA rational expression is a fraction ofpolynomials. Factor first, cancel commonfactors, and exclude anything that makes the(x² − 9)/(x + 3) = x − 3, x ≠ −3(x² − 9)/(x + 3)x − 3, x ≠ −3Factor the top as (x+3)(x−3).Multiplyfactor, cancel, multiplyCancel across before multiplying.Divideflip the second, then multiplySame rule as numeric fractions.Add or subtractcommon denominator firstExactly like numeric fractions.THE COMMON MISTAKE✗ cancelling (x + 3)/(x + 5) to 3/5✓ you cannot cancel terms, only factorsCancelling works across multiplication, never across addition.The restriction comes from the ORIGINAL denominator, before anycancelling.Rational Expressionswww.littleactivity.com

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Math · 10th Grade

Rational Expressions

Fractions with algebra in them — and the values that are forbidden.

How to use it

State the restrictions before simplifying. After simplifying, they are invisible.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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