Hi:
Never fear just follow my tip and you will never fail at math
My tips:
1) Read the problem through; until you understand it. Take your time and work it one step at a time. Don't rush it -your more apt to make mistakes doing this way than when your doing it slow allow your mind to work the problem out ( think of it as a puzzle the pieces will come together only one piece at a time. So do it one step at a time)
2) look for clue words like: sum, more than,less than, greater,multiplied,divided by..ect for all word problems
3) look for given equation, variables, etc
4) find out what the problem is asking you to solve for .
5) write "Given: " , than what is given, than write what your sloving for
6) if you have to rearrange the equation in order to slove it, than write out step by step what math
operation your using on it to solve it, if you have to rearrange it otherwise to 7
7) Write step by step what Math operation your using to slove for it . This will make it easier for you to backtrack it and see what you did wrong; if you made error in your math - if your proof for it , doesn't check and equal
8) While doing number 6 and 7: ALway Pay Attention To the Signs . This the one number reason why people make a errors in Math answers when solving there math problem
and Take your your time in doing it if you rush it , your more than likely to make errors
9) Do a Proof to prove your answer is correct By writting "Proof:" - The reason for this : Sometimes you might think you have the right answer when your really got the wrong one but this will tell you right away. { Remember # 8 you might have made a error in your signs.} Doing the proof for it will catch it, if you did. So do the following:
10) write your original equation down ,plug in your numbers, than write step by step what Math operation your using to solve for it . If this does not check and equal than back track for your answer . Go back and find were you made your error . Correct it than solve it again and redo the proof again until it check and equals
11) Make sure you put the units on the end of the final answer . Some teacher will mark it wrong if it not there Here a example of of a math problem so you get a idea of how to do one :
example:
A spherical tank need to hold 100 cubic feet of water, using the formula V= 4/3*pi*r^3 ,
and pi = 3.14159258, what is the radius of the tank:
step 1
Given :
pi = 3.14159258
V = 4/3 * pi* r^3
V= 100
where sloving for r
Step 2
V = 4/3 * pi* r^3 - original equation
100 = 4/3* 3.14159258 * r^3 - Substitution of V, and pi
100* 3/4 = 4/3* 3.1415258 * r^3 * 3/4 - Multiplying the multiplicative inverse of a
number to both sides of the equation to move it to the other side of it
300/4 = 3.14159258 * r^3 - Multiplication
75 = 3.14159258 * r^3 - Division
75 * 1/3.14159258 = 3.14159258* r^3 * 1/3.14159259 - Multiplying the multiplicative
inverse of a number to both sides of the equation to move it to the other side of it
75/3.14159258 = r^3 - Multiplication
23.873242023000 = r^3 - Division
23.873242023000 ^ (1/3) = (r ^ 3)^(1/3) - taking the cube root of both sides of the
equation to remove the cube
2.879411933968 = r - doing or solving the cube root
The answer for r is 2.879411933968 feet
Proof:
prove that - when r = 2.879411933968, pi = 3.14159258 and v = 100 cubic feet it make the V =
4/3 * pi* r^3 true
V = 4/3 * pi* r^3 - original equation
100 = 4/3 * 3.14159258* 2.879411933968^3 - substitution of r,V,pi
100 = 4.1887904* 2.879411933968^3 - Multiplication and Division of 4/3 and pi
100 = 4.1887904 * 23.87324202301 - solving or taking the cube of r
100 = 100 - Multiplication
It checks and equals
The answer for r is 2.879411933968 feet
Granted doing this, takes a lot of time; but it will give you the right answers every time; or at least catch your wrong answers before you write it down and it will save your bacon everytime , A lot of right answers is better than a lot of wrong answers don't you think.
also write in a notebook any tips or trick in math so you can refer too .
I hope this helps