Simplifying Rational Expressions Quiz

What are the key components involved in simplifying rational expressions?

• Statistics, probability, and trigonometry

• Addition, subtraction, and multiplication

• Geometry, algebra, and calculus

• Exponent rules, fraction rules, and factoring rules

In the first example, what is the simplified form of the expression after using fraction properties?

• 3y^2 / 10x

• 4x^2 / 5y

• 2x / 3y

• 5y^2 / 12x

What is the greatest common factor used in the second example to simplify the numerator?

• 3

• 5

• 2

• 7

In the second example, what is the final simplified form of the expression?

• 5 / (x + 2)

• 3x / (x + 7)

• x + 5 / (x - 2)

• 2 / (x - 7)

What special case is identified in the third example?

• Perfect square trinomial

• Difference of cubes

• Linear equation

• Sum of squares

How is a perfect square trinomial identified?

• By checking if it can be factored into two binomials

• By checking if it follows the format a^2 + 2ab + b^2

• By checking if it has three terms

• By checking if it has a middle term

In the final example, what method is suggested if the greatest common factor cannot be used?

• Completing the square

• Quadratic formula

• Slip and slide method

• Synthetic division

What is the final simplified form of the expression in the last example?

• (x - 5) / (x + 3)

• (x + 5) / (x - 3)

• (x + 3) / (x + 5)

• (x - 3) / (x - 5)

What is the purpose of using the AC method in factoring?

• To solve linear equations

• To find the greatest common factor

• To make the leading coefficient one

• To simplify fractions

What should be remembered when simplifying rational expressions?

• Use geometry principles

• Combination of factoring, laws of exponents, and fractions

• Only use exponent rules

• Focus on addition and subtraction