 34 lessons
 0 quizzes
 7 week duration

Unit 1: Linear Systems

Unit 2: Analytic Geometry

Unit 3: Geometric Properties

Unit 4: Quadratic Relations
Most relations that you have studied in mathematics have been linear. However, many nonlinear also exist in real life.

Unit 5: Quadratic Expressions

Unit 6: Quadratic Equations

Unit 7: Trigonometry
Solve Problems Using Quadratic Equations
So far in this unit, you have learned a variety of methods for solving quadratic equations: graphing, factoring, completing the square, and the quadratic formula. In this final section, you will learn how to apply these skills to solve problems related to situations that can be modelled by quadratic relations, such as paths of projectiles, shapes of parabolic structures, measurement problems involving area, and maximizing revenue. Learning to use the most appropriate method in a given situation is an important step in becoming a good problem solver.
The first type of problem we’ll solve is a businessrelated one involving maximizing profits. Regardless of the type of problem you’re solving, always consider the following steps when determining an algebraic solution:
 Define your variables.
 Write an equation to model the situation.
 Simplify the equation, if necessary.
 Solve the equation using an appropriate method.
 Consider the allowable values of the unknown. Reject a solution if necessary, providing an
 appropriate reason.
 Provide a concluding statement, answering the original question.
Now notice how these steps are applied to the question below:
 Another business application problem can be watched here.
In the next problem, you’ll learn how to write a quadratic expression to model a rectangular area. This is a common question used by teachers for this grade level!
Another common application problem is one involving an object moving at a parabolic trajectory, such as a rock thrown off a cliff or a ball kicked into the air. In case you come across something like that, here’s how you can solve it:
By now, you should have developed an appreciation towards the versatility of using quadratic equations to solve reallife problems. If you’d like more examples, I have compiled a list of video links below which you can watch to further your understanding.