Practice sheet

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$y$ is proportional to $x$ . When $x = 2$ , $y = 10$ . Find the constant of proportionality $k$ in $y = kx$ .
A train travels 21 miles in 3 minutes at a constant speed. How far does it travel in 12 minutes?
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 9$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 2$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 8$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 7x$
2. $y = 7x + 2$
3. $y = x + 7$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 6$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 4$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 8$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 3$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 9$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 7x$
2. $y = 7x + 7$
3. $y = x + 7$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 4$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 2$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 3$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 8$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 6$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 3$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 2$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 9$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 5$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 7x$
2. $y = 7x + 6$
3. $y = x + 7$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 7$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 7$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 1$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 5$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 6x$
2. $y = 6x + 2$
3. $y = x + 6$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 6$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 2$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 3$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 2$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 6$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 5$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 6x$
2. $y = 6x + 8$
3. $y = x + 6$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 7$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 6x$
2. $y = 6x + 7$
3. $y = x + 6$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 1$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 4$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 8$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 7x$
2. $y = 7x + 4$
3. $y = x + 7$
Which equation represents a proportional relationship?
1. $y = 7x$
2. $y = 7x + 1$
3. $y = x + 7$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 3$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 4x$
2. $y = 4x + 7$
3. $y = x + 4$
Which equation represents a proportional relationship?
1. $y = 9x$
2. $y = 9x + 6$
3. $y = x + 9$
Which equation represents a proportional relationship?
1. $y = 3x$
2. $y = 3x + 5$
3. $y = x + 3$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 1$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 4$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 2x$
2. $y = 2x + 7$
3. $y = x + 2$
Which equation represents a proportional relationship?
1. $y = 5x$
2. $y = 5x + 9$
3. $y = x + 5$
Which equation represents a proportional relationship?
1. $y = 8x$
2. $y = 8x + 6$
3. $y = x + 8$
Which equation represents a proportional relationship?
1. $y = 6x$
2. $y = 6x + 3$
3. $y = x + 6$
Which equation represents a proportional relationship?
1. $y = 6x$
2. $y = 6x + 6$
3. $y = x + 6$
The graph of a proportional relationship passes through $(5, 40)$ . What is $y$ when $x = 1$ ?
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $6, 12, 18$
2. $7, 8, 9$
3. $6, 12, 24$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $9, 18, 27$
2. $10, 11, 12$
3. $9, 18, 36$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $4, 8, 12$
2. $5, 6, 7$
3. $4, 8, 16$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $7, 14, 21$
2. $8, 9, 10$
3. $7, 14, 28$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $5, 10, 15$
2. $6, 7, 8$
3. $5, 10, 20$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $2, 4, 6$
2. $3, 4, 5$
3. $2, 4, 8$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $8, 16, 24$
2. $9, 10, 11$
3. $8, 16, 32$
For $x = 1, 2, 3$ , which list of $y$ -values makes a proportional relationship?
1. $3, 6, 9$
2. $4, 5, 6$
3. $3, 6, 12$
A snail crawls $\tfrac{1}{ 7 }$ of a meter in $\tfrac{1}{ 4 }$ of an hour. What is its speed in meters per hour?

Answers

$5$
$84$
$y = 2x$
$8$
$6, 12, 18$
$\frac{4}{7}$