Problems and Graphs (Leaving Cert Mathematics): Flashcards

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Problems and Graphs
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Simultaneous equations definition

Systems of 2+ equations sharing same variables that must be solved together

Key skill for word problems w/ simul. eqs

Translating word problems into mathematical equations

1st step solving word problems

Identify the unknowns (decide variables to use)

Graphical solution intersection represents

xx & yy values satisfying both equations

Linear equation graphed creates

A straight line

Lines don't intersect means

No solution

Identical lines mean

Infinite solutions

Age xx now, age 5 years ago

x−5x - 5 years old

Age xx now, age in 3 years

x+3x + 3 years old

Rectangle perimeter formula

2(extlength+extwidth)2( ext{length} + ext{width})

Money problems unit rule

Keep units consistent (cents OR euros)

Common mistake with variables

Mixing up which variable represents which quantity

Advantage of graphical method

Visual representation makes solution clear

Limitation of graphical method

May not give perfectly accurate answers

How many relationships needed for setup?

Two different pieces of information

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