Adding and Subtracting Fractions with Variables

This video tutorial explains how to add and subtract fractions that contain variables. It covers the process of finding a common denominator, using examples to illustrate the steps involved. The tutorial emphasizes the importance of maintaining the same denominator and correctly handling variable terms in the numerators. It also highlights common mistakes, such as attempting to simplify terms across addition or subtraction.

What is the first step when adding or subtracting fractions with variables?

• Multiply the numerators

• Subtract the numerators

• Add the denominators

• Find a common denominator

What is the least common denominator for fractions with denominators 2 and 5?

• 5

• 2

• 10

• 15

In the first example, what is the equivalent fraction of 4/5 with a denominator of 10?

• 8/10

• 4/10

• 2/10

• 5/10

When adding fractions with variables, why can't you simplify across addition?

• Because the fractions are already simplified

• Because of the plus sign

• Because the numerators are not like terms

• Because the denominators are different

Why is it important to write the variable term first in the numerator?

• It is a mathematical rule

• It is a stylistic preference

• It simplifies the expression

• It changes the value of the expression

What operation is performed on the numerators when adding fractions with a common denominator?

• Subtraction

• Multiplication

• Addition

• Division

What is the result of rewriting the expression 5 + 4x over 10 with the variable term first?

• 5 + 4x over 10

• 4 + 5x over 10

• 4x + 5 over 10

• 5x + 4 over 10

What is the least common denominator for fractions with denominators y and 8?

• 8

• y

• 16

• 8y

What is the product of the denominators y and 8 in the second example?

• 8

• y

• 8y

• 16

In the second example, what is the result of subtracting 3y from 32?

• 32y - 3

• 3y - 32

• 32 - 3y

• 32 + 3y