Identify terms and coefficients

Learning Objectives Define an algebraic expression. Identify individual terms within an algebraic expression. Distinguish between constant terms and variable terms. Define a coefficient as the numerical part of a variable term. Identify the coefficient of any given variable term. Recognize when the coefficient is 1 or -1. Ever tried to follow a recipe with different amounts of ingredients? 🍰 What if we had '3 cups of flour' and '2 eggs'? These are like parts of a math recipe! In this lesson, we'll learn to break down algebraic expressions, which are like mathematical recipes, into their individual parts called 'terms'. We'll also discover how to find the 'coefficient', which is the number telling us 'how many' of...

TermDefinitionExample Algebraic ExpressionA mathematical phrase that contains numbers, variables (letters), and operation symbols (like +, -, ×, ÷) but does not have an equals sign.$5x + 7$ TermA single number, a single variable, or a product of numbers and variables, separated by addition (+) or subtraction (-) signs within an algebraic expression.In $5x + 7$, the terms are $5x$ and $7$. VariableA letter or symbol (like $x$, $y$, $a$, $b$) used to represent an unknown number or a quantity that can change.In $5x + 7$, $x$ is the variable. Constant TermA term in an algebraic expression that does not contain a variable; its value is fixed and does not change.In $5x + 7$, $7$ is the constant term. Variable TermA term in an algebraic expression that contains one or more variables.In $5x + 7$,...

Rule for Identifying Terms Terms in an algebraic expression are separated by addition (+) or subtraction (-) signs. To find the terms, look for the plus and minus signs that divide the expression into its individual parts. Each part, including its sign, is a term. For example, in $a + b - c$, the terms are $a$, $b$, and $-c$. Rule for Identifying Coefficients The coefficient is the number directly in front of a variable in a variable term. Once you've identified a variable term, the number that is being multiplied by the variable is its coefficient. For example, in the term $ax$, $a$ is the coefficient of $x$. In $4y$, $4$ is the coefficient of $y$. Implicit Coefficient of 1 If a variable appears without a number in front of it, its coefficient is $1$. When you...