Finding Coordinates from Points on the Plane
Finding coordinates from points on a graph.
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.
Multiplying First to Get a Perfect Square in the Radicand
Simplifying a radical by multiplying first to get a perfect square in the radicand.
Solving Systems of Equations Using the Elimination Method by Subtraction
Another way to eliminate terms that are additive inverses is by subtraction.
Practical Problem: Boat Speed and River Currents
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Problem: The Perimeter of a Rectangle
Writing a system of equations to find the length and width of a rectangle, given the perimeter, and using the formula for finding the perimeter of a rectangle.
Simplifying Radicals before Multiplying
Instances are demonstrated where simplifying radicals before multiplying are indicated.
Practical Problem: The Length of the Spring on a Scale
Using the elimination method to solve a practical problem involving a scale, a spring, and some weights.
Introduction to Variables: x 0 = 0
Letters are used in algebraic equations to represent numbers we do not know the value of yet. These are called variables.