Balance subtraction equations - up to 18

Learning Objectives Apply the Subtraction Property of Equality to isolate variables in multi-step linear and absolute value equations. Determine unknown constants or coefficients in polynomial and function expressions by setting up and balancing a subtraction equation. Deconstruct complex equations into simpler subtraction problems involving integers up to 18. Verify solutions by substituting them back into the original, complex equation. Translate word problems involving differences or decreases into algebraic equations that can be solved by balancing. Differentiate between subtracting a term and subtracting a negative term, correctly applying rules of integer operations. Ever wonder how game developers balance character stats? 🎮 They use algebra to figure out exactly how...

TermDefinitionExample EquationA mathematical statement that asserts the equality of two expressions. It is characterized by an equals sign (=).18 - 3x = 6 is an equation where the expression '18 - 3x' is equal to the expression '6'. VariableA symbol, usually a letter (like x, y, or k), that represents an unknown numerical value in an equation.In the equation 15 - k = 4, 'k' is the variable we need to solve for. ConstantA fixed value in an expression or equation that does not change.In 12 - 2x = 8, the numbers 12 and 8 are constants. Inverse OperationAn operation that undoes the effect of another operation. Addition is the inverse of subtraction, and multiplication is the inverse of division.To undo the subtraction in 'x - 7', we use the inverse oper...

Addition Property of Equality If \(a = b\), then \(a + c = b + c\) Use this rule to cancel out a subtracted term or a negative term on one side of the equation. It is the primary tool for balancing an equation that involves subtraction. Subtraction Property of Equality If \(a = b\), then \(a - c = b - c\) Use this rule to cancel out a positive term on one side of the equation. This is often the first step in isolating a variable term. Balancing a Subtraction Equation \(a - x = b \implies a - b = x\) This is a shortcut pattern for solving simple subtraction equations. If a number minus a variable equals another number, you can find the variable by subtracting the result from the starting number.