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Algebra: Chapter 13, Lesson 7, page 602. Using Quadratic Equations Word problems need to be thought out before starting. Draw pictures and understand what information you know and what you need to find out. With DRT problems, you may need … Continue reading →

Algebra: Chapter 13, Lesson 6, page 598. Solving Radical Equations We can solve radical equations by first using the principle of squaring to find the quadratic equation. Remember, squaring a square root results in the stuff under the radical being … Continue reading →

Algebra: Chapter 13, Lesson 5, page 595. Solving Rational Equations Remember, we solve rational equations by multiplying both sides by the LCM of all the denominators. This can result in a quadratic equation. Sometimes, there can be extraneous solutions, so … Continue reading →

Algebra: Chapter 13, Lesson 4, page 589. The Quadratic Formula, finally! Given that `ax^2 + bx + c = 0`, then the quadratic formula `x = (−b±sqrt(b^2−4ac))/(2a)` gives the solutions of the quadratic equation. This requires that the quadratic equation … Continue reading →

Algebra: Chapter 13, Lesson 3, page 586 AND Chapter 13, Lesson 2, page 580 (because of yesterday’s snow day and the upcoming CST/STAR testing (ugh …). Solving quadratics by completing the squares We can use the technique of completing the … Continue reading →

Snow Day #7!

Algebra: Chapter 13, Lesson 1, page 576. Introduction to Quadratic Equations An equation that can be written in the form of `ax^2 + bx + c = 0` is a quadratic equation. This is the “standard form”. The solutions of … Continue reading →

Algebra: Chapter 12, Lesson 4, page 552. Quadratic Functions A quadratic function is defined by `f(x) = ax^2 + bx + c`. To make it easier, just replace the `f(x)` with `y` and treat as you have done in the … Continue reading →

Algebra: Chapter 11, Lesson 9, page 519. Equations with Radicals A radical equation contains a variable in the radicand. To solve radical equations, first convert them to equations without radicals. Just like taking the square root of 2 sides of … Continue reading →

Algebra: Chapter 11, Lesson 7 and Lesson 8, pages 509 and 514. Theorem of Pythagoras and its Uses `c^2 = a^2 + b^2`, where `a`, `b` and `c` are the sides of a RIGHT TRIANGLE. `a` and `b` are considered … Continue reading →