Exploring Linear Expression Operations

This video tutorial covers the process of adding and subtracting linear expressions. It begins with an introduction to linear expressions and demonstrates how to combine them by filling in an invisible one to distribute signs across terms. The tutorial then explains how to combine like terms to simplify expressions. Finally, it covers the subtraction of linear expressions, again focusing on distributing signs and combining like terms to reach a simplified result.

What is the first step in adding linear expressions?

• Combine like terms

• Subtract the constants

• Fill in the invisible one

• Distribute the plus sign

When adding 5x + 4 and 2x + 9, what do you get after distributing the plus sign?

• 7x + 13

• 5x + 2x + 4 + 9

• 5x + 4 + 2x + 9

• 7x + 4

What is the result of combining 5x and 2x?

• 3x

• 7x

• 10x

• 2x

What do you get when you combine 4 and -9?

• 5

• -5

• 13

• -13

What is the final expression when you add 5x + 4 and 2x + 9?

• 7x + 5

• 7x - 5

• 7x + 13

• 7x - 13

What is the first step in subtracting linear expressions?

• Add the constants

• Combine like terms

• Distribute the minus sign

• Fill in the invisible one

When subtracting 3x - 9 from -12x + 5, what do you get after distributing the minus sign?

• 3x - 12x + 9 - 5

• 3x - 12x - 9 + 5

• 3x + 12x - 9 - 5

• 3x + 12x - 9 + 5

What is the result of combining 3x and 12x?

• 3x

• 12x

• 9x

• 15x

What do you get when you combine -9 and -5?

• -14

• -4

• 4

• 14

What is the final expression when you subtract -12x + 5 from 3x - 9?

• 15x - 14

• 15x - 4

• 15x + 4

• 15x + 14