Exploring Linear Expressions: Addition and Subtraction Techniques

The video tutorial covers section 3.2 on adding and subtracting linear expressions. It begins with a recap of previous lessons, introduces algebra tiles, and explains how to handle subtraction by distributing the minus sign. The tutorial then moves on to simplifying expressions with addition and the distributive property, providing examples for clarity. It also includes real-world applications and word problems, emphasizing the importance of understanding and solving these problems. The session concludes with homework assignments and expectations for students.

What should you remember to do when there is a subtraction in a linear expression problem?

• Distribute the minus sign into both groups

• Ignore the minus sign

• Add the terms directly

• Multiply the terms

When combining like terms, what happens to the parentheses if the operation is addition?

• They are divided

• They are ignored

• They are multiplied

• They are subtracted

What is the result of combining x + 2x?

• 3x

• 2x

• 4x

• x^2

Which of the following is a linear expression?

• 3x^2 - 7

• 4x + 5

• √x + 2

• x/2 + 3

What is the simplified form of 2d - 4 - (d - 2)?

• d - 2

• d + 2

• d - 6

• 3d - 6

If the original price of a cowboy hat is d and you have a coupon for d - 2, what is the value of the coupon?

• $1

• $4

• $2

• $3

In the expression 3d + 1 - (d - 4), what is the result after distributing the negative sign?

• 3d + 1 - d - 4

• 3d + 1 - d + 4

• 3d - 1 - d - 4

• 3d - 1 - d + 4

What is the simplified form of 3d + 1 - (d - 4)?

• 2d + 5

• 2d - 3

• 4d + 5

• 4d - 3

What should you do if you are struggling with a problem from section 3.2?

• Guess the answer

• Ignore the problem

• Ask for help from a friend, parent, or teacher

• Skip the problem

What is the expectation for showing work on homework problems?

• Show the steps in any order

• Show the original problem, distribute if needed, and then the final answer

• Write only the final answer

• Write the problem and the final answer only