Mathematics - Lecture 7 "Linear and quadratic equations in one variable" presents the following content: Introduction: equations as statements; solving linear and quadratic equations in one variable: Linear equations, quadratic equations, verbal problems. | Linear and Quadratic Equations in One Variable Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 7 Math 17 (UP-IMath) Equations Lec 7 1 / 28 Outline Equations in One Variable 1 Introduction: Equations as Statements 2 Solving Linear and Quadratic Equations in One Variable Linear Equations Quadratic Equations Verbal Problems Math 17 (UP-IMath) Equations Lec 7 2 / 28 Equations as Statements Definition An equation is a statement saying that two expressions are equal. Math 17 (UP-IMath) Equations Lec 7 3 / 28 Equations as Statements Definition An equation is a statement saying that two expressions are equal. Examples: 1. 2x + 1 = x − 7 2 1 = 2. 2−z 4 − 2z √ 2 1 3. = y+1 y Math 17 (UP-IMath) Equations Lec 7 3 / 28 Equations as Statements Definition If an equation holds true for every permissible value (in R), then the equation is called an identity. Math 17 (UP-IMath) Equations Lec 7 4 / .