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CanadaON
Grade 9

4.02 Problem solving with linear equations

Interactive practice questions

Matches were used to make the pattern attached:

a

Complete the table:

Number of triangles ($t$t) $1$1 $2$2 $3$3 $5$5 $10$10 $20$20
Number of matches ($m$m) $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Write an equation that describes the relationship between the number of matches ($m$m) and the number of triangles ($t$t).

c

How many matches are required to make $21$21 triangles using this pattern?

Easy
2min

A diver starts at the surface of the water and starts to descend below the surface at a constant rate. The table shows the depth of the diver over $4$4 minutes.

Easy
2min

In a study, scientists found that the more someone sleeps, the quicker their reaction time. The attached table shows the findings. Use a positive number to express increase, and a negative number to express decrease.

Medium
4min

Caitlin's phone plan allows her to send $300$300 text messages for free.

But if she sends over $300$300 messages the cost, $C$C, in dollars of sending $x$x text messages is modelled by $C=0.1\left(x-300\right)+8$C=0.1(x300)+8.

Solve for the number of text messages $x$x that have been sent when the total cost is $\$30.10$$30.10.

Medium
3min
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Outcomes

9.C1.5

Create and solve equations for various contexts, and verify their solutions.

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