Adding and Subtracting Rational Expressions Simplified

What is essential to add or subtract fractions?

• Common denominator

• Different denominators

• Multiplication of numerators

• Equivalent numerators

What should you do if fractions do not have a common denominator?

• Subtract the denominators

• Find a common factor

• Convert to equivalent fractions with a common denominator

• Add the numerators directly

How do you convert 1/3 to a fraction with a denominator of 12?

• Multiply by 2/2

• Multiply by 4/4

• Multiply by 12/12

• Multiply by 3/3

What is the result of subtracting 4/12 from 10/12?

• 7/12

• 4/12

• 5/12

• 6/12

When simplifying the expression (r+6) - (2r-1), what is the correct form of the simplified numerator?

• r - 2r + 1

• -r + 7

• r + 5

• -r - 1

What is the common denominator for the fractions 3/(x+7) and 4/(x-8)?

• (x+7)(x-8)

• x^2 - 1

• x^2 + 15x - 56

• x^2 - 15x + 56

What should you multiply both the numerator and denominator by to convert the fraction with denominator x+7 to have a common denominator with x-8?

• x-8

• x+8

• x+7

• x-7

What is the simplified form of the expression 3x - 24 + 4x + 28?

• x + 4

• x - 4

• 7x - 4

• 7x + 4

Why can't you cancel terms across a sum in a rational expression?

• Because the terms are separated by a plus sign

• Because they are not in a factored form

• Because it violates algebraic principles

• Because it simplifies to zero

What is the factored form of y^2 - 1?

• y(y - 1)

• (y - 1)(y + 1)

• (y + 1)^2

• (y - 1)^2