Combing Like Terms: A Comprehensive Guide

The video tutorial covers the concept of combining like terms in algebraic expressions. It begins with an introduction to the topic, followed by a demonstration using tiles to visually simplify expressions. The instructor explains the importance of ordering variables alphabetically and highlights like terms using different colors. The tutorial also addresses combining terms with different variables and applies the distributive property to simplify expressions. The video concludes with practical tips for students to practice these concepts at home.

What is the first step in simplifying the expression 9 + 4F + 3 + 2F?

• Combine all constants together

• Combine all terms with F together

• Sort terms into different shapes

• Subtract the constants from the terms with F

How many triangles are there after combining 9 and 3?

• 9

• 6

• 3

• 12

What is the result of combining 4F and 2F?

• 4F

• 8F

• 6F

• 2F

When highlighting like terms, what should you be careful about?

• The color of the highlighter

• The negative signs

• The order of the terms

• The size of the terms

What is the result of combining 4X, 2X, and X?

• 4X

• 7X

• 5X

• 6X

How do you handle a negative sign in front of a term?

• Add it to the term

• Ignore it

• Consider it as part of the term

• Subtract it from the term

What is the result of combining 2R and -3R?

• 0R

• -1R

• 1R

• 5R

What is the result of combining -3U, -5U, and U?

• -8U

• -7U

• -7U

• -9U

What is the first step in using the distributive property?

• Combine like terms

• Multiply each term inside the parentheses by the term outside

• Subtract the terms inside the parentheses

• Add the terms inside the parentheses

What is the result of combining -15X and 20X?

• 15X

• 25X

• 35X

• 5X