Adding and Subtracting Linear Expressions Mastery

The video tutorial covers section 3.2, focusing on adding and subtracting linear expressions. It begins with a review of combining like terms and progresses to solving example problems. The use of algebra tiles is introduced to help visual learners understand the concepts. The tutorial emphasizes the importance of correctly handling negative signs and the distributive property in subtraction. Students are encouraged to practice with provided problems and seek help if needed.

What is the key thing to watch out for when combining like terms?

• The order of terms

• Negative signs

• The color of the terms

• The length of the terms

What do the larger rectangles in algebra tiles represent?

• Coefficients

• Exponents

• Variables

• Constants

What happens when a positive and a negative variable are combined in algebra tiles?

• They add up

• They cancel each other out

• They multiply

• They divide

How do you combine x + x using algebra tiles?

• x

• 2x

• 3x

• 4x

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

• 2x

• -2x

• 0

• 4x

When subtracting expressions, what must you do with the subtraction sign?

• Change it to addition

• Only apply it to the first term

• Distribute it to all terms inside the parentheses

• Ignore it

What is the simplified form of x + 3 - x + 1?

• x + 2

• x + 4

• 2

• 4

What is the result of distributing a negative sign into (x + 3)?

• x - 3

• -x - 3

• x + 3

• -x + 3

What is the simplified form of 2x + 5 - x - 1?

• x + 4

• x + 5

• x + 6

• 3x + 4

What is the result of combining 3x - 7 and -2x + 3?

• x - 3

• x - 10

• x - 4

• x - 7