Quiz on Adding Rational Expressions with Different Denominators

What is the first step in adding rational expressions with different denominators?

• Subtract the denominators

• Multiply the numerators

• Find the least common denominator

• Find the greatest common factor

In the first example, what is the least common denominator (LCD) for the expressions 3x^2 + 2x?

• 3x

• x^2

• x

• 2x

When simplifying the expression 3 + 2x over x^2, what is the correct final form?

• 3 + 2x over x

• 2x + 3 over x^2

• 3x + 2 over x^2

• 2x + 3 over x

For the second example, what is the LCD of the denominators x + 2 and x - 1?

• x^2 - 1

• x + 2

• x - 1

• x + 2 * x - 1

In the second example, what is the simplified form of the expression after combining like terms?

• 3x + 3 over x + 2 * x - 1

• 3x - 1 + 4 over x + 2 * x - 1

• 3x + 4 over x + 2 * x - 1

• 3x - 1 over x + 2 * x - 1

In the third example, what method is used to expand the expression (x + 3)(3x + 4)?

• Distributive Property

• FOIL Method

• Cross Multiplication

• Substitution

What is the simplified form of the expression 2x^2 - 4x + 3x^2 + 13x + 12?

• 5x^2 + 9x + 12

• 5x^2 + 13x + 12

• 5x^2 + 13x + 10

• 5x^2 + 9x + 10

What is the factored form of x^2 - 9 using the difference of squares?

• (x - 9)(x + 9)

• (x - 2)(x + 2)

• (x - 3)(x + 3)

• (x - 1)(x + 1)

In the final example, what is the simplified form of the expression 4x - 8 + 2x + 6?

• 6x - 14

• 6x + 2

• 6x - 2

• 6x + 14

What is the final step in simplifying the expression 6x - 2 over (x + 3)(x - 3)(x - 2)?

• Subtract the numerators

• Multiply the denominators

• Factor out common terms

• Add the numerators