Algebraic Expressions Vocabulary

Questions and Answers

What are terms in a mathematical sentence?

Values separated by a division sign

Values separated by a subtraction sign

Values separated by multiplication

Values separated by an addition or subtraction sign (correct)

Like terms have different variables raised to different powers.

False

What is a constant term?

A term that has a number but no variable.

What is a coefficient?

A number in front of a variable. Signup and view all the answers

What is an expression?

The part of a number sentence that combines numbers and operations, but doesn't have an equal sign. Signup and view all the answers

What does it mean to evaluate an expression?

To find the value of a numerical or algebraic expression. Signup and view all the answers

What is a variable?

A symbol (like x or y) used to represent a variable quantity. Signup and view all the answers

The Distributive Property is represented as _____.

a(b + c) = ab + ac Signup and view all the answers

What does it mean to combine like terms?

To add or subtract like terms Signup and view all the answers

What is an equivalent variable expression?

An expression that is equal for every value of each variable. Signup and view all the answers

Study Notes

Algebraic Expressions Vocabulary

Terms: Elements of a mathematical expression separated by addition or subtraction signs, e.g., in 3x + 5, both 3x and 5 are terms.
Like Terms: These are terms sharing the same variable raised to the same power, allowing for direct addition or subtraction, such as 2x and 4x.
Constant Term: This refers to a term consisting solely of a number without a variable, like 5 in the expression 3x + 5.
Coefficient: The numerical factor that precedes a variable in a term, for example, in 7x, 7 is the coefficient of x.
Expression: A mathematical phrase combining numbers and operations (such as addition, subtraction, multiplication, or division) but lacking an equal sign, e.g., 2x + 3.
Evaluate: The process of determining the value of a numerical or algebraic expression by substituting known values for the variables and performing the necessary calculations.
Variable: A symbol, typically letters like x or y, that represents an unknown or changeable quantity in mathematical or logical expressions.
Distributive Property: A fundamental property in algebra denoted as a(b + c) = ab + ac, allowing a number outside parentheses to be multiplied to each term inside them, facilitating expansion of expressions.
Combine Like Terms: The procedure of simplifying expressions by adding or subtracting terms that are alike, such as 3x and -5x combining to form -2x.
Equivalent Variable Expression: An expression that holds true for all values of its variables. For example, simplifying the expression 7c + 9 - 3c results in 4c + 9, demonstrating equivalence.

Description

Test your knowledge of important vocabulary related to algebraic expressions with these flashcards. Learn definitions and understand key concepts such as terms, like terms, constant terms, and coefficients. Perfect for students looking to enhance their algebra skills!