Parabola, The
Every parabola has an extreme value, which is the highest or lowest point on the curve, and is symmetrical.
Polynomial Equations of Degree One
Equations in which the exponent of the variable is always one and the variable never appears as a divisor or under a radical sign are called polynomial equations of degree one.
Polynomials, Monomials, Binomials, Trinomials
Three types of polynomials are defined: monomials, binomials, and trinomials.
Practical Algebraic Problem: Finding Total Earnings
An example of how to use a simple algebraic equation to determine total earnings from a part time job.
Practical Problem in Standard and Slope-intercept Form
Looking at a practical problem from the perspective offered by a slope-intercept solution and from that offered by a standard form equation solution.
Practical Problem: Boat Speed and River Currents
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Practical Problem: Calculate the Children's Dose of a Medication
Using a rational expression to solve a practical problem involving calculating the dose of a liquid medication for a child, given the adult dose and Young's rule.
Practical Problem: Can the Truck Fit Under the Underpass?
The Pythagorean Theorem can be used to solve problems involving the radius of a pipe. A practical problem involves finding the height of a truck that is carrying a stack of pipes.
Practical Problem: Comparing Car Rental Costs
Using an inequality statement to compare the daily costs of two competing car rental companies.
Practical Problem: Diameter of a Log
The Pythagorean Theorem can be used to find the diameter of a circle. A practical problem involves finding the smallest log that can be cut to yield a square beam of a given size.