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YOU are better than YOU think. Show yourself how: |
-/[]\- Logic
Mastery Do not leave here without it - Logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck. |
-/[]\- After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6; For online automated help in senior high school maths & calculus, visit quickmath.com For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com With overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck. |
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Explore collaborative whiteboards from groupboard, twiddla or scriblink. |
Equations with Fractional Coefficients.
Example 1: Solve (¼)x = x - 9
Solution Steps:
| Operation | Equation | ||
| given | (¼)x = x - 9 | ||
| add - x to both sides | - (¾)x = - 9 | ||
| multiply both sides by -1 | (¾)x = 9 | ||
|
(¼)x = 3 | ||
| multiply both sides by 4 | x =12 |
| Note instead of multiply by -1, then | 1 3 |
and then 4, |
| we could have multiplied by their product |
-4 |
in a single step |
How many step you take, depends on what you see. And after you written a solution and checked it, you may see a simpler or quicker way. You may if your pride insists, rewrite the solution in the quicker way. Sometimes I do and sometimes I don't.
Check: For x =12
| Left Hand Side | = (¼)x =(¼)12 = 3 |
Right Hand Side | = x -9 =12 -9 = 3 as well. |
So for x =12, the Left Hand Side and Right Hand Side of the equation (¼)x = x - 9 have the same value 3.
Example 2: (2/3)x + 4 = -(1¼) x+8 Animated Solution
 |
Example 3: (2/3)x + 5/8 = -¾ x - 3.375 Animated Solution
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Example 4. -¾ x - (5/6) = (5/8)x + 7/12 Animated Solution
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| www.whyslopes.com Solving Linear Equations |(Feb 14, 2005) |
A reference for solving linear equations and for recognizing word problems in essentially one variable. Skill in arithmetic with fractions is a must for algebra. .
Arithmetic Videos
Decimal Addition Methods
Decimal
Subtraction Methods
Decimal
Multiplication Methods
Decimal Division Methods
Fractions
Primes
Greatest Common Divisors
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Square Root Simplification
Site books and further webpages on learning and teaching mathematics and pattern based reason may develop critical thinking, improve reading and writing, and give a base for learning or teaching high school and college mathematics.
Great_Expectations: If you can learn to follow a multi-step methods in any subject precisely, you can do so in other subjects, as well.
Good news: Site pages identify what you need to study.
Bad news: Site pages do not explain everything
Worse news: Learning takes time, yours
Lesson Plans and Ideas for Teachers &
Tutors:
Secondary I -
fractions & allied concepts (decimals, percentages)
Secondary IV - Functions to Trig & Statistics
Algebra Lesson Notes - All levels