Solving Quadratic Equations Involving Fractions WORKSHEET

This worksheet focuses on solving quadratic equations that involve fractions.

The opening section guides students through equations where multiplying by x clears the denominator, forming a standard quadratic expression. The progression continues with equations that include numerical denominators, requiring multiplication by both x and the constant to remove fractions and simplify.

Subsequent problems introduce a quadratic term in the denominator, demanding multiplication by x² to eliminate fractions. The challenge increases as learners encounter binomial denominators, which require expanding and rearranging expressions to achieve the quadratic form.

The final set of questions features more intricate fractional expressions that test students’ algebraic manipulation skills and their ability to form and simplify quadratic equations systematically.

All but one of the twelve equations can be solved by factorising into double brackets after simplification. For the final problem, students apply the quadratic formula to determine the values of x.