Understanding Adding and Subtracting Rational Expressions

What is the first step when adding rational expressions with like denominators?

• Divide the numerators

• Add the numerators and keep the denominator

• Multiply the denominators

• Subtract the numerators

In the example x^2/(X+5) + (7x+10)/(X+5), what is the combined numerator?

• 7x + 10

• x^2 + 7x

• x^2 + 10

• x^2 + 7x + 10

What should you do after combining the numerators in a rational expression?

• Multiply the result by the denominator

• Subtract the result from the denominator

• Factor both the numerator and the denominator

• Add the result to the denominator

When subtracting rational expressions, what is a crucial step to avoid mistakes?

• Using parentheses around the entire numerator being subtracted

• Ignoring the denominators

• Adding the numerators directly

• Multiplying the numerators

In the subtraction example, what should you do after distributing the negative sign?

• Combine the terms and factor the numerator

• Add the terms and factor the denominator

• Multiply the terms and factor the numerator

• Divide the terms and factor the denominator

What is the result of factoring y^2 - 2y - 15?

• (y + 5)(y + 3)

• (y - 5)(y + 3)

• (y - 5)(y - 3)

• (y - 3)(y + 5)

What happens to the common factors in the numerator and denominator after factoring?

• They are subtracted

• They are added together

• They are multiplied together

• They are divided out

Why is it important to use parentheses when subtracting rational expressions?

• To simplify the expression

• To make the expression look neat

• To ensure the correct order of operations

• To avoid missing terms

What is a common error when subtracting rational expressions?

• Forgetting to add the numerators

• Leaving off the parentheses

• Multiplying the denominators

• Adding the denominators

What should you do if you encounter a subtraction problem without parentheses?

• Multiply the numerators

• Add the numerators directly

• Insert parentheses around the entire numerator being subtracted

• Divide the numerators