CanadaON
Grade 10

# Picture puzzles - solving simultaneous equations intuitively

## Interactive practice questions

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 $8$8 $4$4 ?
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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Each item has a price.

The total price of each row of items is shown alongside it.

We want to work out the price of each item.

Three students in a class bought some new equipment from the school stationery shop.

The items they each bought, and the total prices are shown below.

Scales 1 and 2 are in perfect balance.

How may As are needed to balance scale 3?

### Outcomes

#### 10D.AG1.01

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