Mastering Rational Expressions in Algebra 2

What is a complex fraction?

• A fraction with a polynomial in the denominator

• A fraction with a variable in the numerator

• A fraction with a polynomial in the numerator

• A rational expression with a fraction in the numerator or denominator

What is the least common multiple (LCM) of 12xy^2 and 15x^3y?

• 60x^2y^3

• 45x^3y^2

• 30x^2y

• 60x^3y^2

How do you add fractions with the same denominator?

• Multiply the numerators and keep the denominator

• Add the numerators and keep the denominator

• Subtract the numerators and keep the denominator

• Divide the numerators and keep the denominator

What is the LCM of the expressions 2x + 4 and x^2 - x - 6?

• 2(x - 2)(x + 3)

• 2(x - 4)(x + 1)

• 2(x + 2)(x - 3)

• 2(x + 4)(x - 1)

What is the restriction on the variable for the expression x/(x-1)?

• x cannot be 2

• x cannot be -1

• x cannot be 1

• x cannot be 0

How do you simplify a complex fraction?

• Subtract the numerator from the denominator

• Simplify the numerator and denominator separately

• Add the numerator and denominator

• Multiply the numerator and denominator by the same value

What is the simplified form of (x^2 + x)/(x(x-1)) + 2/(x(x-1))?

• (x + 2)/(x-1)

• (x^2 + 2x)/(x-1)

• (x^2 + 3x)/(x-1)

• (x^2 + 2)/(x-1)

What is the restriction on the variable for the expression y/(y^2 - 16)?

• y cannot be 0

• y cannot be ±4

• y cannot be 4

• y cannot be -4

What is the simplified form of (x-3)/(x-7) * (x-7)/(x+5)?

• (x-3)/(x+5)

• (x-3)/(x-5)

• (x+3)/(x+5)

• (x+3)/(x-5)

What is the restriction on the variable for the expression (x-3)/(x+5)?

• x cannot be 3

• x cannot be -5

• x cannot be 5

• x cannot be -3