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Pages:
2 pages/≈550 words
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Level:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
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Topic:

Solving Sample Equations On Algebra And Expounding On Properties Of Real Numbers (Math Problem Sample)

Instructions:

solving sample equations on algebra and expounding on properties of real numbers

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Content:


Algebra
[Name]
[Course]
[Name of Instructor]
[Date of Submission]
Algebra
1 2a (a – 5) + 4 (a – 5)
= 2a (a) – 2a (5) + 4 (a) – 4 (5) Using the distributive property, multiply the terms
within the parentheses with term outside, to remove
parentheses.
= 2a2 -10a + 4a – 20 Add the like terms (coefficients of a) together, and simplify [commutative property]
= 2a2 – 6a – 20 Combine like terms
2 2w – 3 + 3(w – 4) – 5(w – 6)
= 2w – 3 + 3(w) + 3(-4) – 5 (w) – 5(-6) Using the distributive property, multiply the
terms within the parentheses with term
outside, to remove the parentheses.
= 2w – 3 + 3w – 12 – 5w + 30
= 2w + 3w – 5w – 3 – 12 + 30 Group like terms together (coefficients of w)
= 0 + 15 simplify.
= 15 (Answer).
3 0.05(0.3m + 35n) – 0.8(-0.09n – 22m)
= 0.05 (0.3m) + 0.05 (35n) – 0.8 (-0.09n) – 0.8 (-22m) Distribution of the
multiplication by
0.05 and 0.8
= 0.015m + 1.75n + 0.072n + 17.6m
= 0.015m + 17.6m + 1.75n + 0.072n Group the like terms, both coefficients
m and n.
= 17.615m + 1.822n Combine like terms
Properties of Real Numbers
Properties of real number have been very effective and fundamental in solving algebraic equations. The properties mainly encompass; closure property, which depicts that the sum and multiplication of real numbers is equivalent to real numbers, and associative property, which is tho

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