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 8

Add the rational expressions: 1/x + 2/x.

Add: (2)/(x) + (3)/(x)

Divide: (x² + 2x)/(x) ÷ (x + 2)/1

Divide: (x²)/(x) ÷ (x)/(1)

Explain why (x² - 4)/(x - 2) is undefined for x = 2.

If f(x) = (x + 1)/(x - 2), what is f(2)?

If g(x) = (x² - 1)/(x - 1), what is g(1)?

Given the context: A student claims that the rational expression (x² - 4x + 4)/(x - 2) simplifies to x - 2 for all values of x. Is the student correct? Explain your answer.

Which of the following is a rational expression? (1) (x + 1)/(x - 1) (2) √x (3) x³ (4) πx

Which of the following is a rational expression? (1) x + 2 (2) 3/x (3) √x (4) x² + 1

Which of the following is a restriction for the rational expression (2x)/(x² - 4)? (1) x ≠ 2 (2) x ≠ -2 (3) x ≠ 2 and x ≠ -2 (4) x ≠ 0

Which of the following is equivalent to (x² - 9)/(x + 3)? (1) x - 3 (2) x + 3 (3) x² + 9 (4) x - 9

Fill in the blank: A rational expression is a ratio of two _________.

Fill in the blank: The expression (x + 3)/(x - 2) is undefined for x = ________.

Fill in the blank: The lowest common denominator (LCD) of 1/(x+2) and 1/(x+3) is ________.

Fill in the blank: The lowest common denominator of 1/(x) and 1/(x²) is ________.

If the numerator of a rational expression is zero, the value of the expression is always zero. True or False?

True or False: (x + 2)/(x² + 4) is defined for all real values of x.

True or False: The expression (x² + 1)/(x) is undefined when x = 0.

True or False: The expression (x² + 3x + 2)/(x + 1) is a rational expression.