Expressions vs Equations

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division) without an equality sign. Example: 3 + 17 - k.

Front

What is a coefficient in an expression?

Back

A coefficient is the number that is multiplied by a variable in an expression. Example: In 5x - 3, 5 is the coefficient.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. Example: In the expression 24x + 4 - 22y, the constant is 4.

Front

What is a variable in an expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value. Example: In the expression x - 2, x is the variable.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal, using an equality sign.

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations but no variables. Example: 13 + 7 - 25.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make it easier to understand or solve.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power. Example: 3x and 5x are like terms.

Front

What is the order of operations?

Back

The order of operations is the rules that dictate the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). (PEMDAS)

Front

What is a term in an expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. Example: In 3x - 5, both 3x and -5 are terms.