In algebra, a pronumeral is a letter (like x, y, or z) that represents a number or a range of numbers in an equation or expression. It acts as a placeholder for an unknown value. Pronumerals are used when you don't know the exact numerical value of something and need to represent it symbolically.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
An equation is the equality relation between two expressions. An equation is a statement of equality between two expressions. It uses an equal sign (=) to show that the values on both sides of the sign are the same.
An equation can involve numbers, variables (letters representing unknown values), and mathematical operations like addition, subtraction, multiplication, and division.
The core of an equation is the concept of equality, meaning both sides of the equal sign have the same numerical value.
Terms whose variables (and their exponents such as the 2 in x to the power of 2) are the same. In other words, terms that are "like" each other.
Adding and subtracting like terms involves combining terms that have the same variable and exponent. You add or subtract the numerical coefficients of these terms while keeping the variable and exponent the same.
Like Terms: Terms that have the same variable(s) and the same exponent(s).
Coefficients: The number in front of a variable.
Combining Like Terms: Adding or subtracting the coefficients of like terms while keeping the variable and exponent unchanged.
STEP ONE: Identify Like Terms - find all terms that have the same variable(s) and exponent(s).
STEP TWO: Combine Coefficients - add or subtract the coefficients of the like terms.
STEP THREE: Keep Variables and Exponents - write the combined coefficient in front of the original variable(s) and exponent(s).