Understanding Adding and Subtracting Rational Expressions

This video tutorial explains how to simplify rational expressions when adding or subtracting them with like denominators. It provides four examples, demonstrating the process of combining fractions into a single fraction and simplifying the result. The tutorial covers handling negative signs and factoring out common factors to achieve the simplest form.

What is the first step in simplifying rational expressions with like denominators?

• Find the greatest common factor

• Distribute the negative sign

• Cancel out like terms

• Combine them into a single fraction

When combining 3x/5 and (4x + 7)/5, what do you get?

• (3x + 4x + 7)/5

• 12x/10

• 7x/5

• (7x + 7)/5

What happens when you combine like terms in the expression 3x + 4x + 7 all divided by 5?

• 7x over 5

• 7x + 7 over 5

• x + 1

• 12x + 7 over 5

How do you simplify 7/x - 11/x?

• 4/x

• -4/x

• 18/x

• -4x

In the expression 7 - 11 over x, what is the simplified form?

• -4 over x

• 4 over x

• -4x

• 18 over x

What is the result of combining 7x + 4 over x + 2 and 5x - 7 over x + 2?

• 12x - 3

• 2x - 3 over x + 2

• 12x + 3 over x + 2

• 12x - 3 over x + 2

How do you simplify the expression 7x + 5x - 3 all divided by x + 2?

• 12x - 3 over x + 2

• 2x over x + 2

• 12x over x + 2

• 12x + 3 over x + 2

What is the simplified form of 3x - 10 over x - 1 minus 5x - 12 over x - 1?

• -2

• 8x - 22 over x - 1

• x - 1

• -2x + 2 over x - 1

What is the correct simplification of 3x - 10 - 5x + 12?

• -2

• -2x + 22

• 8x - 22

• -2x + 2

After distributing the negative sign in the expression 3x - 10 - (5x + 12), what is the simplified result?

• -2

• x - 1

• -2x + 2

• 8x - 22