Contents
- Preface
1Foundations
2Solving Linear Equations and Inequalities
- Introduction
- 2.1Solve Equations Using the Subtraction and Addition Properties of Equality
- 2.2Solve Equations using the Division and Multiplication Properties of Equality
- 2.3Solve Equations with Variables and Constants on Both Sides
- 2.4Use a General Strategy to Solve Linear Equations
- 2.5Solve Equations with Fractions or Decimals
- Index
Key Terms
Key Terms
- axis of symmetry
- The axis of symmetry is the vertical line passing through the middle of the parabola
- completing the square
- Completing the square is a method used to solve quadratic equations.
- consecutive even integers
- Consecutive even integers are even integers that follow right after one another. If an even integer is represented by , the next consecutive even integer is , and the next after that is .
- consecutive odd integers
- Consecutive odd integers are odd integers that follow right after one another. If an odd integer is represented by , the next consecutive odd integer is , and the next after that is .
- discriminant
- In the Quadratic Formula, the quantity is called the discriminant.
- parabola
- The graph of a quadratic equation in two variables is a parabola.
- quadratic equation
- A quadratic equation is an equation of the form , where
- quadratic equation in two variables
- A quadratic equation in two variables, where are real numbers and is an equation of the form
- Square Root Property
- The Square Root Property states that, if and , then
- vertex
- The point on the parabola that is on the axis of symmetry is called the vertex of the parabola; it is the lowest or highest point on the parabola, depending on whether the parabola opens upwards or downwards.
- x-intercepts of a parabola
- The x-intercepts are the points on the parabola where
- y-intercept of a parabola
- The y-intercept is the point on the parabola where