Mastering Addition and Subtraction of Rational Expressions

What is the primary rule for adding and subtracting fractions?

• Fractions can be combined in any form.

• Fractions must have a common denominator.

• Fractions must have different denominators.

• Fractions must have the same numerator.

How do you change denominators to make them common?

• By multiplying the fractions by a form of one.

• By adding the same number to both denominators.

• By dividing the denominators.

• By subtracting the denominators.

What is necessary to add or subtract fractions with variables?

• Different denominators

• Identical numerators

• Common denominators

• Common variables

What is the result of combining 4x/12x and 8x/12x?

• 12x/24x

• 12x^2/144x^2

• 12x/12x

• 14x-11/12x

When simplifying a fraction, what is the first step?

• Subtract the numerator from the denominator.

• Add the numerator and denominator.

• Factor the numerator and denominator.

• Multiply the numerator and denominator.

What is crucial when subtracting rational expressions?

• Ignoring the common denominator.

• Distributing the subtraction across the numerator.

• Changing the numerator only.

• Multiplying the denominators.

How do you simplify the expression 2x/4x^2 - 2/4x^2?

• 4x/4x^2

• 2x+2/4x^2

• Cannot be simplified

• 2x-2/4x^2

What happens to the expression x^2 + 4x - 12 when factored?

• Cannot be factored

• x+4 * x-3

• x+6 * x-2

• x-6 * x+2

How do you handle subtraction in rational expressions?

• By distributing the subtraction sign

• By multiplying the denominators

• By factoring the denominator only

• By adding the numerators

What is the simplified form of 1 / x - 1 - 1/x?

• 1 / x^2 + x

• Cannot be simplified

• x / x^2 - 1

• 1 / x^2 - x