Category Archives: World Peace

Day 18 – September 19

Algebra, Chapter 2, Lesson 7, page 89. Using the Distributive Property The distributive property of multiplication over addition and subtraction is: `a(b+c)=ab+ac` and `a(b−c)=ab−ac` You can also combine LIKE TERMS ONLY IF THE VARIABLE AND THE EXPONENT OF THE VARIABLE … Continue reading

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Day 8 – September 5

Algebra: Chapter 1, Lesson 6, page 29. Writing Expressions “Many problems can be solved by translating data given with words into algebraic expressions. To do this, you must know which phrases suggest each of the operations (addition, subtraction, multiplication and … Continue reading

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Days 6 and 7 – September 3 and 4

Algebra: Chapter 1, Lesson 5, page 24. Distributive Property of Mutiplication over Addition The distributive property of mulitplication over addition is written as `a(b+c)=ab+ac`. For example: `3(x+2)=3x+6` The opposite of distribution is factoring where we go backward. For example: `3x+3y=3(x+y)` … Continue reading

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Day 3 – August 28

Algebra: Chapter 1, Lesson 2, page 9. The Commututive and Identity Properties Commutative property is only for addition and multiplication. `x+5=5+x` `5*y=y*5` Remember the identify properties of addition (0) and multiplication (1). Anything to the 1st power is the number … 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 13-1, 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 128

Algebra: Chapter 11-6, p 504 Addition and Subtraction of Radical Expressions To add and subtract radical expressions, you can use the same distributive property we have used in the past. You may have to rationalize the denominator and after that, … Continue reading

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Day 126

Algebra: Chapter 11-4, p 495 Multiplying Radical Expressions Remember that the `sqrt(a * b)` = `sqrt(a) * sqrt(b)` and you can’t go wrong. Make sure that you simplify and identify perfect squares. Practice makes perfect. The steps can be stated … Continue reading

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