Rational Expressions

Math ⇒ Algebra

Rational Expressions starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Rational Expressions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Add the rational expressions: 1/(x + 2) + 2/(x + 2)

Add: (2x)/(x² - 1) + (3)/(x + 1)

Divide: (x² - 9)/(x + 3) ÷ (x - 3)/(x + 3)

Divide: (x² + 2x)/(x + 2) ÷ (x/(x + 2))

Find the least common denominator (LCD) of 1/(x + 2) and 1/(x - 2).

If a rational expression has a denominator of x² - 4, for which values of x is it undefined?

If f(x) = (2x + 3)/(x - 1), what is the value of f(2)?

Multiply: (x/2) × (4/x²)

Simplify the rational expression: (2x² - 8)/(4x)

Simplify: (x² - 1)/(x - 1)

Simplify: (x² - 25)/(x² - 10x + 25)

Simplify: (x² - 4)/(x² + 2x)

Simplify: (x² - 4x + 4)/(x² - 2x)

Simplify: (x² - 9)/(x² - 6x + 9)

Simplify: (x² - 9x + 18)/(x - 3)

Simplify: (x² + 2x + 1)/(x + 1)

Simplify: (x³ - 27)/(x² - 3x + 9)

Simplify: (x³ - 8)/(x² - 4x + 4)

State the domain of the rational expression (x + 5)/(x² - 9).

Subtract: (3x)/(x² - 4) - (2)/(x + 2)