Last updated on Sep 21, 2026

Practice Problems (Junior Cert Mathematics): Quizzes

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What is the distance between points $A(2, 3)$ and $B(5, 7)$ ?

5 units

What is the midpoint of the line segment connecting $A(2, 3)$ and $B(5, 7)$ ?

$(3.5, 5)$

Which formula is used to find the distance between two points?

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Which formula gives the midpoint of a line segment?

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

What is the slope of the line through points $C(1, 2)$ and $D(4, 8)$ ?

$2$

What is the equation of the line through $C(1, 2)$ and $D(4, 8)$ ?

$y = 2x$

Which form represents the slope-intercept form of a line?

$y = mx + c$

What is the equation of a line with slope $3$ and y-intercept $-2$ ?

$y = 3x - 2$

Where does a line cross the y-axis if its y-intercept is $-2$ ?

At $y = -2$

What is the intersection point of $2x + y = 4$ and $x - y = 1$ ?

$\left(\frac{5}{3}, \frac{2}{3}\right)$

How can you eliminate $y$ from $2x+y=4$ and $x-y=1$ ?

Add the two equations together

What does the slope of a line tell us?

How steep the line is

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