Monthly Archives: April 2008

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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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 127

Algebra: Chapter 11-5, p 498 Dividing and Simplifying The `sqrt` of quotients is pretty simple. You can combine or break apart quotient `sqrt`s to your liking. Try to find perfect squares and make sure that all the factors are simplified. … 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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Day 125

Algebra: Chapter 11-3, p349 Simplifying Radical Expressions `sqrt(x^2)` = square root `(x^2)` = `x` Its easy to simplify radicals. You can break up numbers and variables, because multiplication is commutative. If asked to find the `sqrt(100)` , we could break … Continue reading

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Day 124

Algebra: Chapter 11-1 and 11-2, p 482 and p 48 Real Numbers (Square Roots) and Radical Expressions Definition: the number `c` is a square root of `a` if `c^2 = a`. Prinicipal square root is the positive square root. `√` … Continue reading

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Day 123

Algebra: Chapter 10 TEST! Math-8, Chapter 11-4, p 568 Triangles Triangles can be classified by their angles or their sides or both. Every angle has 2 acute angles and the 3rd angle can be used to classify the triangle. Triangles … Continue reading

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Day 122

Algebra: Chapter 10 Review Preparation for the test on Monday. Make sure that you know how to do ALL the problems on the Form A version of the test. Math-8: Chapter 11 Work Day Get caught up with missing homework … Continue reading

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Day 121

Algebra: Chapter 10-10, p 469 Complex Rational Expressions To simplify a complex rational expression, multiply the numerator and denominator by an expression equivalent to 1. The expression selected should use the least common multiple of any denominator found in the … Continue reading

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