Exploring Linear Expressions: Addition and Subtraction

This video tutorial covers the addition and subtraction of linear expressions. It begins with an introduction to the topic, followed by detailed examples of adding and subtracting linear expressions. The tutorial also includes word problems and a perimeter problem to demonstrate practical applications. Students are encouraged to take notes for future reference.

Why is it important to copy down all notes and examples while watching the video?

• To practice handwriting.

• To memorize them for a test.

• To share them with friends.

• To use them as a reference for the actual assignment later.

What should you do if there are no coefficients or operations in front of parentheses when adding linear expressions?

• Multiply by zero.

• Remove the parentheses.

• Add a coefficient.

• Keep the parentheses.

How do you combine like terms in the expression x + 3 + 2x - 1?

• Add all the terms together.

• Combine x terms and constant terms separately.

• Multiply the x terms by the constant terms.

• Subtract the x terms from the constant terms.

When distributing a positive number to terms inside parentheses, what should you do?

• Multiply the number by each term.

• Subtract the number from each term.

• Divide the number by each term.

• Add the number to each term.

What is the simplified form of the expression 4 - n + 2(-5n + 3)?

• 4 - 11n + 10

• 4 - 10n + 6

• 4 - 5n + 6

• 4 - 7n + 3

Why is it important to be cautious when subtracting linear expressions?

• Because there is a negative sign that needs to be distributed.

• Because you need to add extra parentheses.

• Because you need to multiply by a negative number.

• Because subtraction is more difficult than addition.

How do you handle a negative sign in front of parentheses when subtracting linear expressions?

• Add the negative sign to each term inside the parentheses.

• Multiply the negative sign by the first term only.

• Ignore the negative sign.

• Distribute the negative sign to each term inside the parentheses.

What is the simplified form of the expression -2c - 5 - 5(1.2c + 4)?

• -7c - 9

• -8c - 25

• -6c - 20

• -7c - 25

How would you write an expression for the total amount in both savings and checking accounts if you have 10w + 120 in savings and 45w + 25 in checking?

• 55w + 145

• 55w + 120

• 45w + 145

• 10w + 25

What is the expression for the third side of a triangle if the perimeter is 17n + 11 and the known sides are 5n + 6 and 4n + 5?

• 9n + 11

• 9n

• 8n

• 8n + 11