Simplify Algebraic Expressions

The video tutorial explains algebraic expressions, highlighting the difference between expressions and equations. It covers how to simplify expressions by combining like terms, providing examples and practice problems. The tutorial also explains multiplying terms, focusing on coefficients and variables.

What distinguishes an algebraic expression from an equation?

• An algebraic expression contains an equal sign.

• An algebraic expression contains variables and numbers but no equal sign.

• An algebraic expression contains only numbers.

• An algebraic expression contains only variables.

Which of the following are like terms?

• 7D and 8E

• 6B and 6C

• 4A and 5A

• 3X and 3Y

How do you combine the like terms in the expression 9M + 4M?

• Divide the coefficients and keep the variable the same.

• Subtract the coefficients and keep the variable the same.

• Multiply the coefficients and keep the variable the same.

• Add the coefficients and keep the variable the same.

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

• 14X + 5Y

• 14X - 5Y

• 10X - 5Y

• 4X - 5Y

What is the result of multiplying 5P by 3P?

• 8P

• 8P^2

• 15P^2

• 15P

When multiplying terms, what should you do with the coefficients?

• Add them together.

• Subtract them.

• Multiply them.

• Divide them.

What is the simplified form of the expression 75Y - 40Y?

• 35Y

• 75Y

• 115Y

• 40Y