translation (algebra)
DESCRIPTION
Reference for Ms. Christian Joy Diocadiz & 2-CANISIUS Miss D, ako mismo gumawa nito... Hehehe! :D Andito na yung gi-explain mo sa akin. :)TRANSCRIPT
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TRANSLATION OF VERBAL PHRASES/SENTENCES
INTO
MATHEMATICAL PHRASES/SENTENCES
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You will be able to familiarize yourself in translating VERBAL PHRASES/SENTENCES into MATHEMATICAL PHRASES/SENTENCES
You will AT LEAST realize that translating phrases/sentences in Math is EASY
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Added to
(the) sum of
Total of
Increased by
MORE THAN
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(the) difference of
Subtracted from
Decreased by
Diminished by
Reduced by
LESS THAN
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(the) product of
Multiplied by
Doubled/tripled/quadrupled
“of”
Twice/thrice (of)
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(the) ratio of
(the) quotient of
“over”-when using FRACTION BARS
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ADDITIONThe sum of a NUMBER and
8.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let x = the NUMBER
∴ x + 8
15 MORE THAN a NUMBER.
---0O0---0O0--- 0O0---0O0---
SOLUTION
Let m = the NUMBER
∴ m + 15
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ADDITIONA number INCREASED by 4.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let r = the NUMBER
∴ r + 4
25 added to a NUMBER.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let p = the NUMBER
∴ p + 25
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SUBTRACTION2 LESS THAN a number.
---0O0---0O0--- 0O0---0O0---
SOLUTION
Let c = the NUMBER
∴ c - 2
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SUBTRACTION7 diminished by a NUMBER.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let f = the NUMBER
∴ f - 7
A number subtracted from 12.
---0O0---0O0--- 0O0---0O0---
SOLUTION
Let L = the NUMBER
∴ L - 12
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SUBTRACTIONA NUMBER decreased by
10.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let a = the NUMBER
∴ a - 10
The difference of TWO numbers.
---0O0---0O0--- 0O0---0O0---
SOLUTION
Let p = the 1st NUMBERb = the 2nd NUMBER
∴ p - b
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MULTIPLICATIONThe product of TWO
numbers .---0O0---0O0--- 0O0---0O0---
SOLUTION
Let g = the 1st NUMBERd = the 2nd NUMBER
∴ gd
The TWICE of a number.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let u = the NUMBER
∴ 2u
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MULTIPLICATION15 percent of a NUMBER .---0O0---0O0--- 0O0---0O0---
SOLUTION
Let h = the NUMBER
∴ 0.15h
The SQUARE of a number.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let y = the NUMBER
∴ y²
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DIVISIONThe RATIO of 7 and y.
---0O0---0O0--- 0O0---0O0---
∴ 7 y
ONE-HALF of a number.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let t = the NUMBER
∴ t 2
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DIVISIONThe QUOTIENT of TWO
NUMBERS.---0O0---0O0--- 0O0---0O0---
SOLUTION
Let s = the 1st NUMBERw = the 2nd NUMBER
∴ s w
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The SUM of
FOUR CONSECUTIVE INTEGERS.
~~~~~~~~~~~~~~~~~~~~~~~~Solution:
Let x = The 1st INTEGER
x + 1 = The 2nd INTEGER
x + 2 = The 3rd INTEGER
x + 3 = The 4th INTEGER
∴ x + (x + 1) + (x + 2) + (x + 3) + (x + 4)
example 2.1
The SUM of
three consecutive ODD integers.
~~~~~~~~~~~~~~~~~~~~~~~~Solution:
Let x = The 1st INTEGER
x + 2 = The 2nd INTEGER
x + 4 = The 3rd INTEGER
∴ x + (x + 2) + (x + 4)
example 2.2
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The SUM of
three consecutive EVEN integers.
~~~~~~~~~~~~~~~~~~~~~~~~Solution:
Let x = The 1st INTEGER
x + 2 = The 2nd INTEGER
x + 4 = The 3rd INTEGER
∴ x + (x + 2) + (x + 4)
example 2.3
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TRY to manipulate the phrase by means of SUBSTITUTING an ODD number (e.g. 1)
And you’ll have an ODD number PATTERN~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~
ex. Let x = 1 (The 1st CONSECUTIVE ODD INTEGER)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~
∴ ([1] + 2) = 3-the 2nd CONSECUTIVE ODD INTEGER
([1] + 4) = 5-the 3rd CONSECUTIVE ODD INTEGER
([1] + 6) = 7-the 4th CONSECUTIVE ODD INTEGER
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TRY to manipulate the phrase by means of SUBSTITUTING an EVEN number (e.g.
2)And you’ll have an EVEN number PATTERN~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~
ex. Let x = 2 (The 1st CONSECUTIVE ODD INTEGER)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~
∴ ([2] + 2) = 4-the 2nd CONSECUTIVE ODD INTEGER
([2] + 4) = 6-the 3rd CONSECUTIVE ODD INTEGER
([2] + 6) = 8-the 4th CONSECUTIVE ODD INTEGER
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Oronse, O. & Mendoza, M./ e-MATH I: Elementary Algebra/ Rex Publishing Inc./ Sampaloc, Manila/ Revised Edition/ ©2010.
WRITTEN NOTES in MATHEMATICS 2