Quiz on Adding and Subtracting Rational Expressions

What is the first step in adding rational expressions?

• Subtract the expressions

• Multiply the expressions

• Find a common denominator

• Find a common numerator

When adding two rational expressions, what must be true about their denominators?

• They must be different

• They must be subtracted

• They must be equal

• They must be multiplied

What is the least common denominator of the expressions with denominators X+3 and X-2?

• X+3 or X-2

• X+3 and X-2

• X-2

• X+3

Why is it important to consider domain restrictions in rational expressions?

• To ensure the expressions are equal

• To avoid division by zero

• To simplify the expressions

• To multiply the expressions

What happens if a denominator in a rational expression equals zero?

• The expression is negative

• The expression is infinite

• The expression is undefined

• The expression is zero

In the second problem, what is the least common denominator for X-3 and X+1?

• X-3 or X+1

• X+1

• X-3

• X-3 and X+1

How do you combine like terms in a rational expression?

• Subtract the coefficients of similar terms

• Multiply the coefficients of similar terms

• Divide the coefficients of similar terms

• Add the coefficients of similar terms

What is the result of factoring the trinomial X^2 + 5X - 24?

• (X-6)(X+4)

• (X+8)(X-3)

• (X-8)(X+3)

• (X+6)(X-4)

What is the greatest common factor of 3X + 36?

• 12

• 9

• 6

• 3

What are the domain restrictions for the expression with denominators X-3 and X+8?

• X cannot be 3 and -8

• X cannot be -3 and -8

• X cannot be -3 and 8

• X cannot be 3 and 8