Solve two-step linear equations

Learning Objectives Identify the two operations in a linear equation involving a variable. Apply inverse operations in the correct order to isolate a variable. Solve two-step linear equations involving integers, decimals, and fractions. Accurately solve equations with negative coefficients and constants. Verify their solution by substituting it back into the original equation. Translate a simple word problem into a two-step linear equation and solve it. You've saved $25 for a new video game, and you can save $8 more each week. How many weeks will it take to afford a $65 game? 🤔 Let's find out with algebra! This tutorial will guide you through solving two-step linear equations, a fundamental skill in algebra. Mastering this process is crucial for tackling more adv...

TermDefinitionExample VariableA symbol, usually a letter (like x or y), that represents an unknown number or a quantity that can change.In the equation 2x + 3 = 11, 'x' is the variable. CoefficientThe number that is multiplied by a variable.In the term 5y, the coefficient is 5. ConstantA term in an equation that has a fixed value and does not contain a variable.In the equation 4a - 7 = 13, the numbers -7 and 13 are constants. EquationA mathematical statement that asserts the equality of two expressions, indicated by an equals sign (=).3z - 1 = 20 is an equation. Inverse OperationsOperations that undo each other. Addition and subtraction are inverse operations; multiplication and division are inverse operations.To undo adding 5, you subtract 5. To undo multiplying by 2, you divid...

Addition Property of Equality If a = b, then a + c = b + c You can add the same number to both sides of an equation, and the equation will remain balanced. This is used to undo subtraction. Subtraction Property of Equality If a = b, then a - c = b - c You can subtract the same number from both sides of an equation, and the equation will remain balanced. This is used to undo addition. Multiplication/Division Property of Equality If a = b and c ≠ 0, then ac = bc and a/c = b/c You can multiply or divide both sides of an equation by the same non-zero number, and the equation will remain balanced. This is used to undo division or multiplication. Solving Order (Reverse Order of Operations) SADMEP When solving for a variable, you undo operations in the reverse order...