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Summary Maths Algebra

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Summary of 62 pages for the course Mathematics at 12th Grade (will help you)

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  • August 24, 2023
  • 62
  • 2023/2024
  • Summary
  • 202
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BUSINESS MATHEMATICS



Dr. Addial Manjonjo


21st September, 2022




,Algebra II
In this Lecture we will cover:
I Solving equations
I Simultaneous equations
I Applications






,Equations
An equation is a mathematical statement stating that two
expressions are equal. In mathematical notation two expressions are
shown to be equal by means of an equals (=) sign.

Examples of equations

a) 3x + 4 = 3 b) z 4 + 4z 2 − 3 = 0

Equations with degree 1 e.g. 3x + 4 = 4x − 2 are called linear
equations. Equations of degree 2 e.g. −3x 2 + x = 2 are called
quadratic equations.


, Multiplication property of Equality
The multiplication property of equality states that when we
multiply both sides of an equation by the same number, the two
sides remain equal.

I For example, if x4 = 2, then multiply both side of this equation
by, say 4, both sides remain equal.
I That is if
x
=2
4

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