Category Archives: Math 8

Days 137 and 138

Algebra: CST/STAR Packet Review (Monday and Tuesday) Packet due on Friday – all 20 problems! ASK QUESTIONS and be ready! Math-8: Released State Questions Review Packet due om Friday – all 43 problems! Ask questions here too! EVERYONE — Sleep … Continue reading

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Day 136

Algebra: Chapter 13-6, p 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 displayed without … Continue reading

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Day 135

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

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Day 134

Algebra: Chapter 13-4, p 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 is always … Continue reading

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Day 133

Algebra: Chapter 13-3, p 586 Solving quadratics by completing the squares We can use the technique of completing the square to solve quadratic equations. Recall that the addition property allows us to add a number to both sides of the … Continue reading

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Day 132

Algebra: Chapter 13-2, p 580 More Solving Quadratic Equations Solve a quadratic equation of the form `ax^2 = k` Example: `-3x^2 + 7 = 0` becomes … `-3x^2 = -7` or `x^2=7/3` then `x = ±sqrt(7/3)`, don’t forget to rationalize … Continue reading

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Day 132

Algebra: Chapter 13-1, p 576 (we just did 12-4 in Chapter 4, we will come back to it after CST Testing) Introduction to Quadratic Equations An equation that can be written in the form of `ax^2 + bx + c … Continue reading

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Day 131

Algebra: Chapter 12-4, p 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 past. With … Continue reading

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Day 130

Algebra: Chapter 11-9, p 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 an equation, … Continue reading

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Day 129

Algebra: Chapter 11-7 and 11-8, p 509 and p 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 the sides … Continue reading

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