Algebraic Expressions and Simplification

The video tutorial covers the basics of algebraic expressions, focusing on identifying and understanding terms, variables, coefficients, and constants. It explains the concept of like and unlike terms and provides examples to illustrate these ideas. The tutorial also demonstrates how to simplify expressions by combining like terms and applies these concepts to solve word problems and calculate the perimeter of geometric figures.

What separates terms in an algebraic expression?

• Multiplication and division signs

• Plus and minus signs

• Parentheses

• Equal signs

Which of the following is a variable term?

• 5

• 7

• 16x

• 10

What are like terms?

• Terms with the same variable and exponent

• Terms with no variables

• Terms with different variables

• Terms with different coefficients

In the expression 8x + 3x - 3, what is the constant?

• 8

• 11

• 3

• -3

How many terms are in the expression 4x - 3 + 2x + 5?

• 5

• 2

• 3

• 4

What is the simplest form of the expression 7x - 7x + 6?

• 13

• 7x

• 6

• 0

If you have 4z - z, what is the simplified expression?

• 0

• z

• 4z

• 3z

In a word problem, if you run m miles on Friday and Saturday, and 4 miles on Sunday, what is the total distance?

• 3m

• m + 8

• 2m + 4

• m + 4

How do you express the perimeter of a rectangle with sides 4j and 2h?

• 8j + 4h

• 16j + 4h

• 8j + 2h

• 16j + 2h

What is the simplest form of the expression 4x - 3 + 4h + 2x + 5h?

• 6x + 9h - 3

• 6x + 9h + 3

• 4x + 5h + 3

• 6x + 5h - 3