Category Archives: World Peace

Day 174 – June 1

Algebra: FINAL EXAM REVIEW PACKET There are 60 questions on the FINAL EXAM and 60 questions on the review packet. Do 10 problems per class and you’ll have all the notes YOU NEED for the 420 point FINAL! Today’s problems: … Continue reading

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Day 146 – April 21

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

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Days 127, 128 – March 17 and 18

Algebra: Chapter 10, Lesson 9, page 465. Dividing Polynomials To divide a polynomial by a monomial, divide each term by that monomial. For example: `(6x^2 + 3x – 2)/3` becomes `(6x^2)/3 + (3x)/3 -2/3` or simplifying terms, we have `2x^2 … Continue reading

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Day 112 – February 24

Algebra: Chapter 6, Lesson 8, page 286. Solving Equations by Factoring The principle of zero products states that: for any rational numbers a and b, if the product `ab = 0`, then `a=0` or `b=0` or both `a` and `b … Continue reading

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Day 109 – February 19

Algebra: Chapter 6, Lesson 5, page 278 Factoring `ax^2 + bx + c I don’t like the approach the textbook uses to factor generalized trinomials or quadratics. Remember that these are of the form `ax^2 + bx + c`. Using … Continue reading

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Day 98 – February 2

Algebra: Chapter 6, Lesson 1, page 262. Factoring Polynomials Divisibility Rules A number is divisible by the numbers below if the following rules hold: 2, if the last digit is an even number 3, if the sum of the digits … Continue reading

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Days 94 and 95 – January 27 and 28

Algebra: Chapter 5, Lesson 11, page 249. Multiplying Polynomials To multiply a monomial and a polynomial: multiply each term of the polynomial by the monomial There are 3 techniques to multiply binomials: FOIL (FIRST, OUTSIDE, INSIDE, LAST – or its … Continue reading

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Day 93 – January 26

Algebra: Chapter 5, Lesson 10, page 245. Multiplying Binomials: Special Products We can use the FOIL or BOX methods to multiply binomials. There are however, 3 special cases that if you recognize them, will save you some work: `(A+B)(A-B)=A^2−B^2` `(A+B)(A+B)=A^2+B^2+2AB` … Continue reading

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Day 91 – January 22

Algebra: Chapter 5, Lesson 8, page 236. Subtraction of Polynomials We do just like the addition of polynomials, except for subtraction, we (remember way back to subtracting with negative numbers) add the opposite. The other thing we have to remember … Continue reading

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Day 90 – January 21

Algebra: Chapter 5, Lesson 7, page 231. Addition of Polynomials When we add polynomials, it can be easier if we order them in descending order for one of the variables. We can add polynomials in 2 ways: Horizontally – scan … Continue reading

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