Mastering Basic Algebra Vocabulary and Combining Like Terms

This video tutorial introduces basic algebra vocabulary, including terms like equations, expressions, constants, and variables. It explains how to identify and combine like terms and demonstrates the use of the distributive property in simplifying algebraic expressions. The tutorial provides examples to illustrate these concepts, emphasizing the importance of understanding terms and their relationships in algebra.

What is the main difference between an equation and an expression?

• An expression has an equal sign, while an equation does not.

• An equation has an equal sign, while an expression does not.

• An equation is always longer than an expression.

• An expression always contains variables, while an equation does not.

In algebra, what is a constant?

• A letter representing an unknown number.

• A mathematical operation.

• A number that does not change.

• A number that changes based on the variable.

What is a variable in algebra?

• A number that does not change.

• A letter representing an unknown number.

• A mathematical operation.

• A fixed value.

Which of the following is a coefficient?

• y in 5y

• 4 in 4x

• Both 2 and 3 in 2x + 3y

• x in 4x

Which of the following pairs are like terms?

• 4x and 3y

• 4x and 4x^2

• 4x and 3x

• 7x and 7xy

Why is it important to identify like terms?

• Like terms are always constants.

• Like terms cannot be combined.

• Like terms are always variables.

• Like terms can be combined.

What is the simplified form of the expression 8x^2 - 3 - 4x^2 + 7?

• 8x^2 + 4

• 4x^2 - 4

• 4x^2 + 4

• 8x^2 - 4

What does the distributive property allow you to do?

• Divide numbers inside parentheses.

• Subtract numbers inside parentheses.

• Multiply a number outside the parentheses by each term inside the parentheses.

• Add numbers inside parentheses.

What is the result of distributing -2 in the expression -2(x^2 + 2x + 4)?

• -2x^2 + 4x - 8

• -2x^2 - 4x - 8

• -2x^2 - 4x + 8

• 2x^2 - 4x - 8

What is the simplified form of the expression 4 - 3(-2n - 8)?

• 4 - 6n + 24

• 4 + 6n + 24

• 4 - 6n - 24

• 4 + 6n - 24