Algebraic Expressions and Operations

This video tutorial covers the process of adding and subtracting rational expressions with a common denominator. It explains the importance of having a common denominator when dealing with fractions and rational expressions. The tutorial provides step-by-step examples of how to add and subtract numerators, reduce fractions, and handle negative signs in subtraction. Key concepts such as factoring and canceling terms are also discussed.

What is necessary to add two fractions together?

• Same whole number

• A common denominator

• Same decimal value

• A common numerator

When adding fractions, what happens to the denominator?

• It becomes the product of the numerators

• It remains the same

• It changes to the sum of the denominators

• It is divided by the numerator

How do you simplify the fraction 6/12?

• 3/4

• 5/6

• 2/3

• 1/2

What is the result of adding 5x and 1x?

• 6x

• 5x

• 7x

• 4x

What is the greatest common factor of the binomial 4x + 2?

• 3

• 4

• 2

• 1

What is the simplified form of the expression 4x + 2 over 2?

• 2x + 2

• 4x + 1

• x + 2

• 2x + 1

What is the result of adding x squared and 3x?

• 2x squared + 3x

• x squared + 4x

• x squared + 2x

• x squared + 3x

What is the factorization of x squared + 3x + 2?

• (x - 1)(x - 2)

• (x + 1)(x + 2)

• (x - 1)(x + 2)

• (x + 1)(x - 2)

What must be done with the negative sign when subtracting rational expressions?

• Ignore it

• Add it to the denominator

• Multiply it by the whole expression

• Distribute it to the numerator

What is the result of distributing a negative sign to 2x - 7?

• -2x + 7

• 2x - 7

• 2x + 7

• -2x - 7