Write ONE-VARIABLE, TWO-STEP EQUATIONS AND INEQUALITIES TO REPRESENT CONSTRAINTS OR CONDITIONS WITHIN PROBLEMS Including, but not limited to: Equation a mathematical statement composed of algebraic and/or numeric expressions set equal to each other – Inequality a mathematical statement composed of algebraic and/or numeric expressions set apart by an inequality symbol – Variable a letter or symbol that represents a number – One on one side of the equation or inequality Ex: Coefficient a number that is multiplied by a variable(s) – Whole numbers Integers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Ex: Constant a fixed value that does not appear with a variable(s) – Whole numbers Integers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Ex: Solution set a set of all values of the variable(s) that satisfy the equation or inequality – Constraints or conditions Ex: Minimum, maximum, up to, no more than, no less than, etc. Distinguishing between equations and inequalities Characteristics of equations Equates two expressions Equality of the variable One solution Characteristics of inequalities Shows the relationship between two expressions in terms of >,≥, ≤,or ≠ Inequality of the variable One or more solutions Equality and inequality words and symbols Equal to, =
Write ONE-VARIABLE, TWO-STEP EQUATIONS AND INEQUALITIES TO REPRESENT CONSTRAINTS OR CONDITIONS WITHIN PROBLEMS Including, but not limited to: Equation – a mathematical statement composed of algebraic and/or numeric expressions set equal to each other Inequality – a mathematical statement composed of algebraic and/or numeric expressions set apart by an inequality symbol Variable – a letter or symbol that represents a number One on one side of the equation or inequality Ex: Coefficient – a number that is multiplied by a variable(s) Whole numbers Integers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Ex: Constant – a fixed value that does not appear with a variable(s) Whole numbers Integers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Ex: Solution set – a set of all values of the variable(s) that satisfy the equation or inequality Constraints or conditions Ex: Minimum, maximum, up to, no more than, no less than, etc. Distinguishing between equations and inequalities Characteristics of equations Equates two expressions Equality of the variable One solution Characteristics of inequalities Shows the relationship between two expressions in terms of >,≥, ≤,or ≠ Inequality of the variable One or more solutions Equality and inequality words and symbols Equal to, =