Problems and Graphs (Leaving Cert Mathematics): Quizzes

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Problems and Graphs
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What are simultaneous equations?

Systems of 2+ equations with same variables

In word problems, what do variables typically represent?

Unknown quantities to find

What is the first step when approaching word problems with simultaneous equations?

Identify the unknowns

How many relationships do you need to find to set up simultaneous equations?

Two different relationships

In graphical solutions, what does the point of intersection represent?

Values satisfying both equations

What does it mean if two lines don't intersect when solving graphically?

There is no solution

What is a key advantage of using graphical methods?

Visual representation of solution

Money problems are based on which two key relationships?

Total number of items & total value

If someone is xx years old now, how old were they 5 years ago?

(x−5)(x-5) years old

What is the formula for the perimeter of a rectangle?

2(length+width)2(\text{length} + \text{width})

What is crucial about units in money problems?

Keep units consistent

Why are algebraic methods usually preferred over graphical methods?

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