Practical Applications of Simultaneous Equations (VCE SSCE General Mathematics): Quizzes

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Practical Applications of Simultaneous Equations
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10 questions from this quiz

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When are simultaneous equations most useful in practical problems?

Two unknowns related in two different ways

What is the first step when solving practical problems using simultaneous equations?

Define your variables clearly

How many steps are in the general method for solving practical simultaneous equation problems?

Five steps

How should you check your solution in Step 4?

Substitute back to verify LHS = RHS

In Worked Example 1, if 3r+2g=15.53r + 2g = 15.5 and 5r+3g=24.55r + 3g = 24.5, what is rr?

2.52.5

A rectangle has perimeter 48 cm and length l=3wl = 3w. What is the width?

6 cm

In the cinema example, if 200 tickets sold for 3265 USD total, how many children's tickets?

127 children's tickets

What do ticket sales problems typically combine?

Quantity info and financial info

What is a common mistake to avoid when solving simultaneous equation problems?

Forgetting to define variables first

Why should you label your equations as (1) and (2)?

Shows you're working with a system

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