Systems of Equations

Ontario 10 Academic (MPM2D)

Picture puzzles - solving simultaneous equations intuitively

Each symbol has a value. The total sum of each row is shown alongside it.

We want to work out the value of each symbol.

$20$20 |
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$8$8 |
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$4$4 |
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? |

a

What is the value of one triangle?

b

What is the value of one square?

c

What is the value of one circle?

d

What is the value of a triangle, a square and a circle?

That is, what number should replace the question mark?

Easy

Approx a minute

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Solve systems of two linear equations involving two variables, using the algebraic method of substitution or elimination