Simplifying Expressions Using the Standard Algorithm

The video tutorial explains how to simplify expressions by creating equivalent expressions using the standard algorithm. It covers the concept of equivalent expressions, the use of the distributive property, and the importance of not adding unlike terms. The tutorial provides examples and a step-by-step guide to simplifying complex expressions, ensuring that the value of the expression remains unchanged throughout the process.

What does it mean for two expressions to be equivalent?

• They are written in the same way.

• They have the same value.

• They have different values.

• They have the same number of terms.

How can the expression 3 times the quantity of 8x plus 5 be expanded?

• 24x plus 15

• 8x plus 15

• 3x plus 5

• 24x plus 5

Why can't 24x and 15 be added together?

• Because they are both numbers.

• Because they are both variables.

• Because they are unlike terms.

• Because they are like terms.

What is the first step in simplifying the expression 9x plus 4 times the quantity of 2 plus 5x plus 7?

• Add all the numbers together.

• Divide the terms.

• Multiply using the distributive property.

• Subtract the terms.

After expanding and rearranging, what is the simplest form of the expression 9x plus 8 plus 20x plus 7?

• 9x plus 20x

• 20x plus 7

• 29x plus 15

• 9x plus 8