Last updated on Sep 20, 2026

Practice Problems (Junior Cert Mathematics): Quizzes

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What is the solution to $3x + 7 = 22$ ?

$x = 5$

What is the first step to solve $3x + 7 = 22$ ?

Subtract 7 from both sides

What is the solution to $5x - 9 = 3x + 11$ ?

$x = 10$

To clear fractions in $\frac{2x - 3}{4} = \frac{5x + 1}{2}$ , multiply both sides by what?

4

What is the solution to $\frac{2x - 3}{4} = \frac{5x + 1}{2}$ ?

$x = \frac{-5}{8}$

To factorise $x^2 - 5x + 6$ , which two numbers multiply to 6 and add to -5?

-2 and -3

What is the factored form of $x^2 - 5x + 6 = 0$ ?

$(x - 2)(x - 3) = 0$

What are the solutions to $x^2 - 5x + 6 = 0$ by factorising?

$x = 2$ and $x = 3$

In $2x^2 + 3x - 2 = 0$ , what are the values of $a$ , $b$ , and $c$ ?

$a = 2$ , $b = 3$ , $c = -2$

For $2x^2 + 3x - 2 = 0$ , what is $b^2 - 4ac$ ?

25

What are the solutions to $2x^2 + 3x - 2 = 0$ using the quadratic formula?

$x = \frac{1}{2}$ and $x = -2$

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