Exploring Basic Algebra Vocabulary

The video tutorial introduces basic algebraic concepts, focusing on expressions, terms, coefficients, and exponents. It explains the difference between expressions and equations, and how terms are formed and simplified. The tutorial also covers the concept of exponents, their role in multiplication, and the process of simplifying expressions into polynomials. Finally, it discusses factoring and distribution, highlighting their importance in algebraic operations.

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

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

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

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

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

In the expression X + 2, what does the variable X represent?

• An operator

• A constant value

• A symbol that represents a value or quantity

• A specific number

What is the role of the number 2 in the expression 2X?

• It is an operator.

• It is an exponent.

• It is a coefficient.

• It is a constant.

How is multiplication represented in algebraic expressions when no operator is shown?

• By division

• By subtraction

• By implied multiplication

• By addition

What does the exponent in an algebraic term indicate?

• The value of the base

• How many times the base is multiplied

• How many times the base is added

• The coefficient of the base

What does the term '2 squared' mean?

• 2 + 2 + 2

• 2 + 2

• 2 x 2

• 2 x 2 x 2

How many terms are in the expression 5 + (-2X) + 2?

• 4

• 3

• 1

• 2

What is a polynomial with three terms called?

• Monomial

• Binomial

• Trinomial

• Quadnomial

What is the process of combining like terms in an expression called?

• Multiplying

• Distributing

• Factoring

• Simplifying

What is the process of taking a common factor out of a group of terms called?

• Addition

• Factoring

• Simplification

• Distribution