Adding and Subtracting Rational Expressions with Least Common Denominator

What is the least common denominator for the numbers 3, 7, and 6?

• 21

• 42

• 14

• 18

When considering the variables, what is the least common denominator for s^3, s^5, and s^3?

• s^6

• s^3

• s^4

• s^5

Tags

CCSS.HSA.APR.D.7

What is the least common denominator for the expressions m^2 - 4m - 5 and m^2 - m - 2?

• (m-5)(m-2)

• (m-2)(m+1)

• (m-5)(m+1)

• (m-4)(m+1)

Tags

CCSS.HSA.APR.D.7

Which factor is missing when rewriting z-4 over z+2 to have a denominator of z^2 + 5z + 6?

• z+2

• z-3

• z+3

• z-2

Tags

CCSS.HSA.APR.D.6

What is the factored form of w^2 - 2w - 35?

• (w+7)(w+5)

• (w-7)(w-5)

• (w-5)(w+7)

• (w-7)(w+5)

How do you factor w^2 - 25?

• (w-5)(w+5)

• (w-5)(w-5)

• (w-7)(w+7)

• (w+5)(w+5)

Tags

CCSS.HSA.APR.C.4

What is the least common denominator for the expressions 3w/(w^2 - 2w - 35) and (w-3)/(w^2 - 25)?

• (w-7)(w-5)

• (w-5)(w+5)

• (w-7)(w+5)(w-5)

• (w-7)(w+5)

Tags

CCSS.HSA.APR.D.7

What should you multiply the first fraction by to match the least common denominator?

• (w+7)/(w+7)

• (w-5)/(w-5)

• (w+5)/(w+5)

• (w-7)/(w-7)

Tags

CCSS.HSA.APR.D.7

What is the numerator of the first fraction after multiplying by the missing factor?

• 3w^2 - 15w

• 3w^2 - 10w

• w^2 - 15w

• w^2 - 10w

Tags

CCSS.HSA.APR.D.6

What is the numerator of the second fraction after multiplying by the missing factor?

• w^2 - 15w

• w^2 - 10w + 21

• w^2 - 10w

• w^2 - 15w + 21

Tags

CCSS.HSA.APR.D.7