In this unit, we will be learning about linear and quadratic systems! Solving a linear system by graphing Solving a linear system by the addition method Elimination method Solving a linear system by the substitution method If you have any questions, feel free to leave them in the comment box down below!
Tag: Math
5.5 Applications of Quadratic Equations
It’s time to test our knowledge about quadratic equations by trying some application questions! Application problems If you have any questions, feel free to leave them in the comment box down below!
5.4 Graphing Calculator and the Discriminant
In Pre-cal 11, you don’t really need to use a graphing calculator for the most part, but it is nice to know how to use one for sure! Graphing calculator tutorial The discriminant Here are some examples to help you with your homework questions! If you have any questions, feel free to leave them in…
5.3 The Quadratic Formula
The quadratic formula is the key to solving quadratic equations that can’t be factored or simplified. How to solve a quadratic equation using the quadratic formula Here are examples to help you with your homework questions! If you have any questions, feel free to leave them in the comment box down below!
5.2 Completing the Square and the Square Root Property
Remember how to complete the square? In the last chapter, you learned how to complete the square in order to convert from general to standard form. Now it’s time to learn how to solve a quadratic equation by completing the square. The square root property Completing the square More examples to help you with your…
5.1 Solving Quadratic Equations by Factoring
We learned that quadratic equations can be expressed in both general and standard form. In this unit, we will be mainly focused on working with the general form! Remember… A quadratic function can cross the x-axis either 0, 1 or 2 times. Points where the graph crosses the x-axis are the real solutions, because f(x)…
4.3 Applications of Quadratic Functions
Now that you know all about quadratic functions and parabolas, it’s time to try some application questions! The key to success is to do A TON of practice, you can never try “too many” questions. Good luck! Application problems examples If you have any questions, feel free to leave them in the comment box down…
4.2 Vertex of a Parabola
The vertex can be found using multiple ways including completing the square and the vertex formula. Find the vertex by completing the square Find the vertex by using the vertex formula If you have any questions, feel free to leave them in the comment box down below!
4.1 Polynomial Function
In the last chapter, we learned about the quadratic function f(x) = a(x-h)²+ k, in this chapter, we will learn more about quadratic functions as well as parabolas. Remember… General form: f(x) = ax² + x+ c, a does not equal to 1 Standard form: f(x) = a(x-h)² + k, a does not equal to…
1.6 Irrational Numbers
I know, we’ve done a lot of rational and irrational work in this chapter – last one, I promise. In this section, we’ll be simplifying square roots and cube roots, as well as changing forms from mixed roots to entire roots. Confused? Here are some things that you need to know: How to simplify square…