Which x satisfies an equation?

Learning Objectives Define what an equation and a variable are. Identify the components of a one-variable equation (variable, constant, operation). Explain what it means for a value to 'satisfy' an equation. Use substitution to check if a given value is a solution to an equation. Apply inverse operations to solve simple one-variable equations. Verify the solution to an equation by substituting it back into the original equation. Ever wonder how detectives solve mysteries? 🕵️‍♀️ In math, we're detectives trying to find the missing piece in a puzzle: the value of 'x' that makes an equation true! In this lesson, you'll learn what an equation is, what a variable represents, and how to find the specific number that makes an equation 'balance&#0...

TermDefinitionExample EquationA mathematical statement that shows two expressions are equal, separated by an equals sign (=). It's like a balanced scale.$x + 5 = 12$ VariableA symbol, usually a letter (like x, y, a), that represents an unknown number or a quantity that can change. It's the 'mystery number' we're trying to find.In $x + 5 = 12$, 'x' is the variable. ConstantA value in an equation that does not change. It's a fixed number.In $x + 5 = 12$, '5' and '12' are constants. SolutionThe specific value of the variable that makes an equation a true statement. It's the answer to the puzzle.For $x + 5 = 12$, the solution is $x = 7$. Satisfy an EquationWhen a value for the variable makes the equation a true statement. If you...

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 and true. Use this to undo subtraction on one side of the equation. 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 and true. Use this to undo addition on one side of the equation. 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 and true. Use this to undo division on one side of the equation. Division Property of Equality If $a = b$, then $\frac{a}{c} = \frac{b}{c}$ (w...