Adding and Subtracting Rational Expressions with Common Denominators

What is the first step when adding fractions with a common denominator?

• Factor the numerator

• Combine the denominators

• Factor the denominator

• Combine the numerators

When adding fractions with a common denominator, what do you do with the denominators?

• Subtract them

• Add them together

• Keep them the same

• Multiply them

What method is used to factor the denominator in the given example?

• Quadratic formula

• AM method

• Difference of squares

• AC method

What is the GCF of the terms 3k^2 and 18k?

• k

• 6k

• 3

• 3k

What do you do after factoring the denominator and numerator?

• Add them together

• Subtract them

• Cancel out common factors

• Multiply them

What is the final simplified form of the fraction 3k - 1 over k - 6 times 3k - 1?

• 3k - 1 over k - 6

• k - 6 over 1

• 1 over k - 6

• k - 6 over 3k - 1

When subtracting fractions with a common denominator, what must you remember to do with the negative sign?

• Distribute it

• Add it to the numerator

• Add it to the denominator

• Ignore it

What is the LCD in the subtraction example provided?

• 6x^2 - 18x - 60

• 3k^2 - 19k + 6

• x^2 - 3x - 10

• k - 6

What is the simplified form of the fraction -3 over 6 times x - 5 times x + 2?

• -1 over 2 times x - 5 times x + 2

• 3 over 6 times x - 5 times x + 2

• 1 over 2 times x - 5 times x + 2

• -3 over 6 times x - 5 times x + 2

What is the GCF of the terms x^2, -3x, and -10?

• 6

• x

• 3

• 1