Practice sheet

Fresh questions from the whole chapter, to do on paper.

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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. $y = x + 6$
A gym charges 55 dollars to join and 19 dollars per month. Write the total cost $y$ after $x$ months.
A line passes through $(0, 2)$ and $(1, 8)$ . Write its equation in the form $y = mx + b$ .
Which is the equation of the horizontal line through $(5, 1)$ ?
1. $y = 1$
2. $x = 5$
3. $y = 5$
Which is the equation of the horizontal line through $(6, 3)$ ?
1. $y = 3$
2. $x = 6$
3. $y = 6$
Which is the equation of the horizontal line through $(6, 1)$ ?
1. $y = 1$
2. $x = 6$
3. $y = 6$
Which is the equation of the horizontal line through $(8, 2)$ ?
1. $y = 2$
2. $x = 8$
3. $y = 8$
Which is the equation of the horizontal line through $(7, 4)$ ?
1. $y = 4$
2. $x = 7$
3. $y = 7$
Which is the equation of the horizontal line through $(6, 2)$ ?
1. $y = 2$
2. $x = 6$
3. $y = 6$
Which is the equation of the horizontal line through $(5, 3)$ ?
1. $y = 3$
2. $x = 5$
3. $y = 5$
Which is the equation of the horizontal line through $(5, 2)$ ?
1. $y = 2$
2. $x = 5$
3. $y = 5$
Which is the equation of the horizontal line through $(7, 1)$ ?
1. $y = 1$
2. $x = 7$
3. $y = 7$
Which is the equation of the horizontal line through $(8, 1)$ ?
1. $y = 1$
2. $x = 8$
3. $y = 8$
Which is the equation of the horizontal line through $(6, 4)$ ?
1. $y = 4$
2. $x = 6$
3. $y = 6$
Which is the equation of the horizontal line through $(9, 4)$ ?
1. $y = 4$
2. $x = 9$
3. $y = 9$
Which is the equation of the horizontal line through $(5, 4)$ ?
1. $y = 4$
2. $x = 5$
3. $y = 5$
Which is the equation of the horizontal line through $(9, 3)$ ?
1. $y = 3$
2. $x = 9$
3. $y = 9$
Which is the equation of the horizontal line through $(8, 4)$ ?
1. $y = 4$
2. $x = 8$
3. $y = 8$
Which is the equation of the horizontal line through $(9, 1)$ ?
1. $y = 1$
2. $x = 9$
3. $y = 9$
Which is the equation of the horizontal line through $(8, 3)$ ?
1. $y = 3$
2. $x = 8$
3. $y = 8$
Which is the equation of the horizontal line through $(9, 2)$ ?
1. $y = 2$
2. $x = 9$
3. $y = 9$
Which is the equation of the horizontal line through $(7, 3)$ ?
1. $y = 3$
2. $x = 7$
3. $y = 7$
Which is the equation of the horizontal line through $(7, 2)$ ?
1. $y = 2$
2. $x = 7$
3. $y = 7$
Find the $x$ -intercept of $3x + 6y = 54$ (the value of $x$ where the line crosses the $x$ -axis).
What is the slope of the line $8x + 9y = 17$ ?
The point $(2, y)$ is a solution of $5x + y = 15$ . Find $y$ .

Answers

$5$
$84$
$y = 2x$
$19 x + 55$
$6 x + 2$
$y = 1$
$18$
$- \frac{8}{9}$
$5$