Solve one-step equations

Learning Objectives Define what an equation and a variable are. Identify the operation being performed on the variable in a one-step equation. Apply inverse operations to isolate the variable in addition and subtraction equations. Apply inverse operations to isolate the variable in multiplication and division equations. Solve one-step equations involving integers and rational numbers. Check the solution of a one-step equation by substitution. Translate simple word problems into one-step equations and solve them. Ever wonder how detectives solve mysteries? 🕵️‍♀️ Just like them, mathematicians use clues to find missing values! What if you could find a secret number with just one clue? In this lesson, you'll learn how to solve equations that require only one step to fin...

TermDefinitionExample EquationA mathematical statement showing that two expressions are equal, separated by an equals sign (=).x + 5 = 12 VariableA symbol, usually a letter, used to represent an unknown number or quantity in an equation.In the equation x + 5 = 12, 'x' is the variable. SolutionThe value of the variable that makes the equation a true statement.For x + 5 = 12, the solution is x = 7 because 7 + 5 = 12. Inverse OperationsOperations that undo each other. Addition and subtraction are inverse operations; multiplication and division are inverse operations.To undo adding 5, you would use the inverse operation of subtracting 5. Isolate the VariableThe goal of solving an equation, which means to get the variable by itself on one side of the equals sign.Transforming x + 5 =...

Addition Property of Equality If $a=b$, then $a+c = b+c$. If you add the same number to both sides of an equation, the equation remains balanced. Use this property to undo subtraction. Subtraction Property of Equality If $a=b$, then $a-c = b-c$. If you subtract the same number from both sides of an equation, the equation remains balanced. Use this property to undo addition. Multiplication Property of Equality If $a=b$, then $ac = bc$ (where $c \neq 0$). If you multiply both sides of an equation by the same non-zero number, the equation remains balanced. Use this property to undo division. Division Property of Equality If $a=b$, then $\frac{a}{c} = \frac{b}{c}$ (where $c \neq 0$). If you divide both sides of an equation by the same non-zero number, the equatio...