Rational Expressions and Fractions

The video tutorial explains how to add or subtract rational expressions by finding a common denominator, similar to fractions. It covers factoring denominators, ensuring they have the same factors, and combining numerators. The tutorial also discusses simplifying the expression and presents alternative ways to express the result, emphasizing the equivalence of different forms.

What is the first step when adding or subtracting rational expressions?

• Find a common denominator

• Multiply the numerators

• Factor the numerators

• Add the numerators directly

Why is it important to factor the denominator first?

• To find the greatest common factor

• To simplify the numerator

• To ensure the denominators are in factored form

• To multiply the fractions

What must be true for two rational expressions to have a common denominator?

• Their numerators must be factored

• They must be equivalent fractions

• Their denominators must contain the same factors

• They must have the same numerators

What is the result of distributing a negative sign across a binomial?

• The terms are added together

• The terms are multiplied by zero

• The signs of the terms are reversed

• The signs of the terms remain unchanged

What is the simplified form of 2x - 3x?

• x

• -x

• 5x

• 0

What is the result of combining like terms 5 + 9?

• 13

• 14

• 10

• 15

Why might a negative fraction be expressed with the negative sign in front of the fraction?

• For consistency in notation

• To indicate subtraction

• To simplify the denominator

• To make it easier to multiply

What happens when you factor out a negative from the numerator?

• The fraction becomes positive

• The denominator changes

• The signs of the terms in the numerator change

• The fraction becomes zero

Which of the following is NOT a way to express a negative fraction?

• With the negative sign in front of the fraction

• With the negative sign in the numerator

• With the negative sign in the denominator

• With the negative sign in the exponent

What is the purpose of expressing fractions in different equivalent forms?

• To confuse the reader

• To simplify calculations

• To match different textbook notations

• To change the value of the fraction