Add and subtract like terms

Learning Objectives Identify terms, coefficients, and constants in an algebraic expression. Define 'like terms' and distinguish them from 'unlike terms'. Combine like terms using addition. Combine like terms using subtraction. Simplify algebraic expressions by adding and subtracting multiple like terms. Apply the commutative and associative properties to rearrange terms before combining. Ever tried to organize your toys, putting all the cars together and all the dolls together? 🧸🚗 That's a lot like what we do in algebra! In this lesson, you'll learn how to simplify algebraic expressions by combining terms that are 'alike'. This skill is fundamental for solving equations and understanding more complex math problems, making your math...

TermDefinitionExample TermA single number, a variable, or numbers and variables multiplied together in an algebraic expression.In the expression $3x + 5y - 7$, the terms are $3x$, $5y$, and $-7$. VariableA letter or symbol (like x, y, or a) used to represent an unknown numerical value.In $2x + 3$, 'x' is the variable. ConstantA term in an algebraic expression that is a number without a variable. Its value does not change.In $4a - 9$, '-9' is the constant. CoefficientThe numerical factor (the number) that multiplies a variable in a term.In $5y$, '5' is the coefficient. In $-2x$, '-2' is the coefficient. Like TermsTerms that have the exact same variables raised to the same powers. Only their coefficients can be different.$4x$ and $-7x$ are like terms....

Identifying Like Terms Terms like $3x$ and $5x$ are like terms. Terms like $2y$ and $7y$ are like terms. Terms like $4$ and $10$ are like terms. Terms like $3x$ and $2y$ are NOT like terms. Terms like $5x$ and $5x^2$ are NOT like terms. Before you can add or subtract terms, you must first identify which terms are 'like' each other. Look for the variables and their exponents. If they match, they are like terms. Constants are like terms with other constants. Combining Like Terms $ax + bx = (a+b)x$ and $ax - bx = (a-b)x$ Once you've identified like terms, you simply add or subtract their numerical coefficients. The variable part stays exactly the same, acting like a label for what you are counting. The Invisible Coefficient $x = 1x$ and $-y = -1y$ When yo...