Solve one-step equations with whole numbers

Learning Objectives Identify variables and constants in one-step equations. Define what a solution to an equation means. Apply inverse operations to isolate the variable in one-step equations. Solve one-step addition and subtraction equations with whole numbers. Solve one-step multiplication and division equations with whole numbers. Check their solutions to verify their correctness. Ever wonder how detectives solve mysteries? 🕵️‍♀️ In math, we're like detectives trying to find a missing number! In this lesson, you'll learn how to find the missing whole number in simple math puzzles called one-step equations. Understanding this helps you solve problems in everyday life, from sharing snacks to planning trips. Real-World Applications Calculating how much more mo...

TermDefinitionExample EquationA mathematical statement showing that two expressions are equal, usually with an equals sign (=).x + 5 = 12 VariableA symbol, usually a letter, that represents an unknown number or quantity.In x + 5 = 12, 'x' is the variable. Whole NumbersThe set of non-negative counting numbers: 0, 1, 2, 3, and so on.7, 25, 0 are whole numbers. SolutionThe value of the variable that makes the equation true.In x + 5 = 12, the solution is x = 7 because 7 + 5 = 12. Inverse OperationsOperations that undo each other (e.g., addition undoes subtraction, multiplication undoes division).The inverse of adding 3 is subtracting 3. Isolate the VariableThe goal of solving an equation: to get the variable by itself on one side of the equation.In x + 5 = 12, we want to get 'x...

Addition Property of Equality If $a = b$, then $a + c = b + c$. If you add the same whole number to both sides of an equation, the equation remains balanced. Use this when you have a subtraction problem with the variable (e.g., $x - 7 = 10$) to add the number to both sides. Subtraction Property of Equality If $a = b$, then $a - c = b - c$. If you subtract the same whole number from both sides of an equation, the equation remains balanced. Use this when you have an addition problem with the variable (e.g., $x + 5 = 12$) to subtract the number from both sides. Multiplication Property of Equality If $a = b$, then $a \cdot c = b \cdot c$ (where $c \neq 0$). If you multiply both sides of an equation by the same non-zero whole number, the equation remains balanced. Use thi...