Simplifying Rational Algebraic Expressions Quiz

What is the first step in simplifying rational algebraic expressions?

• Multiply the numerator and denominator

• Simplify the fraction and understand exponent rules

• Divide the coefficients

• Add the exponents

In Example A, what is the simplified form of x^2y / 2xy^2?

• x^2 / y

• x^2 / 2y

• x / 2y

• x / y

Which method is NOT used in Example A to simplify the expression?

• Using exponent rules

• Factoring

• Expanding terms

• Canceling common factors

In Example B, what is the first step in simplifying the expression x^2 - 9y^2 / 3xy - 9y^2?

• Subtract the terms

• Multiply the terms

• Factor the numerator and denominator

• Add the terms

What is the simplified form of the expression in Example B?

• x + 3y / 3y

• x - 3y / 3y

• x + 3y / y

• x - 3y / y

In Example C, which factorization method is used?

• Synthetic division

• Quadratic formula

• Difference of squares

• Sum of cubes

What is the simplified form of the expression in Example C?

• x - 2 / x + 4

• x - 2 / x - 4

• x + 2 / x - 4

• x + 2 / x + 4

In Example D, what is the first step in simplifying the expression?

• Add the terms

• Factor the numerator and denominator

• Subtract the terms

• Multiply the terms

What is the simplified form of the expression in Example D?

• x - 3 / x + 5

• x + 3 / x - 5

• x - 3 / x - 5

• x + 3 / x + 5

Which factor is eliminated in Example D?

• x - 1

• x + 1

• x - 3

• x + 5