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 11

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

Divide: (2x)/(x² - 1) ÷ (x)/(x + 1).

Divide: (x² - 1)/(x + 1) ÷ (x - 1)/(x + 2).

Explain the process of simplifying a complex rational expression.

Explain why the rational expression (x² - 1)/(x - 1) is not defined for x = 1.

Find the value of (x² - 4x + 4)/(x - 2) when x = 5.

Given the rational expression (x² - 4x + 3)/(x² - 9), list all values of x for which the expression is undefined.

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

If a rational expression has a denominator of degree 2 and a numerator of degree 1, what is the degree of the rational expression?

If f(x) = (x² - 4)/(x + 2), what is the value of f(-2)?

If the numerator and denominator of a rational expression have a common factor, what should you do to simplify the expression?

Multiply: (x + 1)/(x - 2) × (x - 2)/(x + 3).

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

Simplify: (x² - 16)/(x² - 8x + 16).

Simplify: (x² - 25)/(x² + 10x + 25).

Simplify: (x² - 9)/(x² - 6x + 9).

Simplify: (x³ - 8)/(x² - 4x + 4).

State the condition(s) under which a rational expression is undefined.

Subtract: (3x)/(x² - 4) - (2)/(x + 2).

What is the domain of the rational expression 1/(x² - 9)?