Understanding Adding and Subtracting Rational Expressions

What is the result of adding 1/3 and 5/3?

• 6/3

• 5/6

• 1/6

• 2

What happens when you add fractions with the same denominator?

• None of the above

• Multiply both numerators

• Subtract the denominators

• Add numerators and keep the denominator

How do you find a common denominator for 1/7 and 1/3?

• Multiply denominators

• Find the least common multiple

• Add the denominators

• Subtract the numerators

What is the common denominator for expressions with denominators 3y and 9y?

• 6y

• 3y

• 9y

• 27y

When subtracting rational expressions with the same denominator, what should you do?

• Multiply the expressions

• Add the denominators

• Subtract numerators and keep the denominator

• None of the above

What is required to subtract fractions with different denominators?

• Multiplication of denominators

• Common denominator

• Different numerators

• Cancellation of terms

In complex fractions involving variables, what is crucial before adding or subtracting?

• Factoring completely

• Simplifying numerators

• Expanding denominators

• None of the above

How do you simplify a complex fraction with multiple terms in the numerator and denominator?

• Subtract denominators

• Add all terms

• Divide by the highest common factor

• Combine like terms

What method is recommended for simplifying complex fractions with different denominators?

• None of the above

• Method of common multiples

• Method of substitution

• Cross-multiplication method

What is the result of applying the distributive property to the expression 3(x + 4)?

• 7x + 4

• 12x

• 3x + 12

• 3x + 4