Rational expressions and equations worksheets Grades 9–10
Adding and subtracting rational expressions, complex fractions, and solving proportions and rational equations.
- Adding and subtracting rational expressions with like denominatorsAdd or subtract the numerators over the same denominator, then simplify.
- Least common denominator of rational expressionsFind the LCD of algebraic fractions by factoring each denominator.
- Adding rational expressions with unlike denominatorsRewrite each fraction over the LCD and add.
- Subtracting rational expressions with unlike denominatorsRewrite over the LCD and subtract the whole second numerator.
- Adding and subtracting rational expressions by factoringFactor every denominator, find the LCD, add or subtract, then simplify.
- Simplifying complex fractionsMultiply the top and bottom by the LCD of the small fractions, then simplify.
- Solving rational proportionsCross multiply, distribute and solve for x.
- Solving rational equationsMultiply every term by the LCD, solve, and check for excluded values.
Unit packet
One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.
UnlimitedGet Unlimited →
Unit test
Two problems from every topic. Pass it and move up to the next unit.
UnlimitedGet Unlimited →