Write an equation from words

Learning Objectives Identify keywords and phrases that indicate mathematical operations. Define a variable to represent an unknown quantity in a word problem. Translate verbal expressions into algebraic expressions. Construct a one-variable equation from a given word problem. Verify that their written equation accurately represents the problem's scenario. Distinguish between an algebraic expression and an algebraic equation. Ever wonder how mathematicians turn everyday puzzles into solvable math problems? 🕵️‍♀️ It all starts with translating words into the language of algebra! In this lesson, you'll learn the essential skill of converting written sentences and real-world scenarios into mathematical equations with one variable. This is a fundamental step in solving...

TermDefinitionExample VariableA symbol, usually a letter (like 'x', 'y', or 'n'), used to represent an unknown number or quantity in a mathematical expression or equation.In the phrase 'a number increased by 5', 'a number' would be represented by a variable, such as 'x'. ConstantA value that does not change. It is a fixed number in an expression or equation.In the equation 'x + 7 = 10', the numbers '7' and '10' are constants. Algebraic ExpressionA mathematical phrase that contains numbers, variables, and operation symbols, but does NOT have an equals sign.'3x + 5' is an algebraic expression. Algebraic EquationA mathematical statement that shows two expressions are equal, connected by an equ...

Translating Addition Keywords Keywords like 'sum', 'plus', 'more than', 'increased by', 'total of', 'added to' translate to the addition operation ($+$). When you see these words, you'll add the numbers or variables together. Example: 'a number increased by 7' becomes $x + 7$. Translating Subtraction Keywords Keywords like 'difference', 'minus', 'less than', 'decreased by', 'subtracted from' translate to the subtraction operation ($-$). Be careful with order for 'less than' and 'subtracted from'. For 'less than' and 'subtracted from', the number mentioned first usually comes AFTER the subtraction sign. Example: &...