Solve one-step linear equations

Learning Objectives Define the key components of a linear equation: variable, coefficient, and constant. Identify the inverse operation required to isolate a variable. Solve one-step linear equations using addition and subtraction. Solve one-step linear equations using multiplication and division. Solve one-step linear equations involving integers and simple fractions. Verify the solution to a one-step linear equation by substitution. Ever tried to figure out how many hours you need to work to afford that new video game? 🎮 You were using algebra to solve for an unknown! This tutorial breaks down the simplest type of algebraic equation: the one-step linear equation. Mastering this skill is the essential foundation for solving more complex problems you'll encounter in G...

TermDefinitionExample EquationA mathematical statement asserting that two expressions are equal. It always contains an equals sign (=).x + 5 = 12 is an equation. VariableA symbol, usually a letter (like x, y, or t), that represents an unknown value or a value that can change.In the equation 3y = 21, 'y' is the variable. ConstantA fixed value; a number that does not change.In the equation a - 8 = 10, the numbers '8' and '10' are constants. CoefficientA number multiplied by a variable.In the equation 7m = 49, the number '7' is the coefficient of m. Inverse OperationAn operation that 'undoes' another operation. Addition and subtraction are inverses; multiplication and division are inverses.To undo adding 4, you use the inverse operation: subt...

The Golden Rule of Algebra (Properties of Equality) Whatever you do to one side of an equation, you MUST do to the other side. This rule ensures the equation remains balanced and true. It is the fundamental principle used to solve all equations. Additive Property of Equality If a = b, then a + c = b + c and a - c = b - c. Use this to undo addition or subtraction. If a number is added to your variable, you subtract it from both sides. If a number is subtracted, you add it to both sides. Multiplicative Property of Equality If a = b, then a \times c = b \times c and a \div c = b \div c (for c \neq 0). Use this to undo multiplication or division. If your variable is multiplied by a number, you divide both sides by that number. If it is divided by a number, you multiply b...