Simplify Algebraic Expressions

The video tutorial introduces algebraic expressions, explaining that they are mathematical phrases with numbers, symbols, and variables but no equal sign. It differentiates expressions from equations and teaches how to simplify expressions by combining like terms. Examples are provided to illustrate the process, including adding and subtracting coefficients while maintaining variables. The tutorial also covers multiplying terms, emphasizing the multiplication of coefficients and variables. Finally, practice problems are presented for viewers to apply the concepts learned.

Which of the following is NOT an algebraic expression?

• 5 + 115Y - 4

• 6 * 7A

• 12B / 4

• 7A + 13 = 27

What are like terms in algebraic expressions?

• Terms with different variables

• Terms with the same coefficients

• Terms with equal signs

• Terms with the same variables

How do you simplify the expression 12A + 5A?

• 7A

• 60A

• 17A

• 12A5A

In the expression 10X + 4X - 5Y, what is the result after combining like terms?

• 10X + 4X

• 5Y

• 14X + 5Y

• 14X - 5Y

What is the result of multiplying 8X by 4X?

• 32X

• 32X^2

• 12X^2

• 8X^2

Simplify the expression 15R + 7R.

• 22R

• 8R

• 105R

• 15R7R

What is the result of multiplying 7P by 9P?

• 7P9P

• 63P^2

• 16P^2

• 63P