Simplifying Algebraic Expressions

The video tutorial focuses on simplifying algebraic expressions by dividing terms, combining like terms, and distributing coefficients. It begins with dividing each term in the numerator by a monomial, then moves on to combining like terms in expressions. The tutorial also covers distributing coefficients across terms and simplifying the resulting expressions. Each step is explained with examples, and the importance of writing variable terms before constants is emphasized. The tutorial concludes with a final example and a summary of the key points.

What is the simplified form of the expression 24 - 18a / 6?

• 3a + 4

• 4a - 3

• 3a - 4

• 4 - 3a

When simplifying 24 - 18a / 6, why is it common to write the expression as 3a + 4?

• Because it is incorrect otherwise

• Because constants should come first

• Because variables should come first

• Because it looks better

How do you simplify the expression 5y + (36 + 63y) / 9?

• 5y + 7y + 4

• 12y + 4

• 5y + 4

• 12y + 9

What is the result of combining like terms in the expression 5y + 7y?

• 10y

• 12y

• 11y

• 9y

What is the first step in simplifying (6 * 15W - 30 + 25) / 5?

• Add all terms together

• Divide each term by 5

• Combine like terms

• Distribute the 6

What is the simplified form of (6 * 15W - 30 + 25) / 5?

• 18W - 31

• 15W - 30

• 15W + 30

• 18W + 31

In the expression (4 * 6C + 9 - 36 + 12) / 3 + 10C - 9, what is the result of distributing the 4?

• 24C - 9

• 24C + 9

• 24C + 36

• 24C - 36

What is the simplified form of (4 * 6C + 9 - 36 + 12) / 3 + 10C - 9?

• 18C - 17

• 18C + 17

• 17C - 18

• 17C + 18

What is the result of combining like terms in the expression 8C + 10C?

• 16C

• 22C

• 18C

• 20C

What is the final simplified expression of 8 - 9?

• -1

• 1

• 2

• 0