Understanding Common Denominators and Distributive Property

The video tutorial covers the concept of finding the least common denominator (LCD) in fractions, both with numbers and polynomials. It explains that multiplying denominators can yield a common denominator, but not always the least one. The tutorial provides examples, including how to handle polynomials where neither divides the other. It also demonstrates using the distributive property to simplify expressions and how to add fractions with the same denominator by combining numerators.

What is the product of 5 and 6 when finding the LCD?

• 30

• 60

• 15

• 11

Why is the common denominator of 9 and 3 not 27?

• Because 3 is larger than 9

• Because 27 is not a multiple of 9

• Because 9 is a prime number

• Because 3 divides into 9

What is the LCD for the polynomials x+1 and x+2?

• x+1 times x+2

• x+1

• x+1 plus x+2

• x+2

What operation is used to simplify expressions with common denominators?

• Distributive Property

• Subtraction

• Addition

• Multiplication

How do you handle subtraction in expressions to simplify using the distributive property?

• Change subtraction to addition with a negative number

• Ignore the subtraction

• Multiply by zero

• Add a positive number

What is the result of 5x minus 3x?

• 15x

• 8x

• 0

• 2x

What is the simplified form of 10 minus 3?

• 10

• 3

• 13

• 7

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

• Keep them the same

• Add them together

• Multiply them

• Subtract them

What is the common denominator in the final expression?

• x plus 1

• x plus 1 plus x plus 2

• x plus 1 times x plus 2

• x plus 2

What is the final expression after combining the fractions?

• x plus 2 over x plus 1

• 2x plus 7 over x plus 2 times x plus 1

• 5x plus 10 over x plus 2

• 3x minus 7 over x plus 1