Rational Expressions
Math ⇒ Algebra
Rational Expressions starts at 8 and continues till grade 12.
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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)
If a rational expression is simplified and the denominator is 1, what type of expression is it? (1) Polynomial (2) Rational (3) Irrational (4) Radical
Which of the following is a rational expression? (1) x + 2 (2) (x² + 1)/(x - 3) (3) √x (4) x³ - 4x
Which of the following is a restriction on the domain of (x + 1)/(x² - 1)? (1) x ≠ 1 (2) x ≠ -1 (3) x ≠ 0 (4) Both 1 and 2
Which of the following is equivalent to 1/(x + 1) + 1/(x - 1)? (1) 2x/(x² - 1) (2) (2x + 2)/(x² - 1) (3) (2x - 2)/(x² - 1) (4) (x² + 1)/(x² - 1)
A rational expression is defined as a ratio of two ________.
A rational expression is undefined when its denominator is ________.
If the numerator of a rational expression is zero, the value of the expression is always ________, provided the denominator is not zero.
The denominator of a rational expression cannot be ________.
True or False: A rational expression can have more than one restriction on its domain.
True or False: Every polynomial is a rational expression.
True or False: The degree of the numerator can be greater than the degree of the denominator in a rational expression.
True or False: The product of two rational expressions is always a rational expression.
