Finding Distance on a Graph Using the Pythagorean Theorem and the Distance Formula
The Pythagorean Theorem can be used to solve a distance problem on the coordinate plane. The same problem is also solved using the distance formula.
Graphing Points on the Coordinate Plane
How to graph points on the coordinate plane.
Solving Compound Inequalities
How to solve compound inequality problems.
Factor 27x10y3z15 - 9x9y3x9
Practice factoring: 27x10y3z15 - 9x9y3z9
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Quadratic Equations in Standard Form
The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.
Practical Problem: How Much Land to Buy
A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.
Factor: 3c2 - 13cd 14d2
Practice factoring a trinomial with two different variables: 3c2 - 13cd 14d2.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...