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You can create printable tests and worksheets from these Grade 10 Quadratic Equations and Expressions questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Which equation has the same solutions as $x^2 + 6x - 7 = 0$?
1. $(x + 3)^2 = 2$
2. $(x - 3)^2 = 2$
3. $(x - 3)^2 = 16$
4. $(x + 3)^2 = 16$
Which equation represents the parabola shown below?
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
What is the vertex of the following equation? Also, is this a minimum or maximum?
$y = 3x^2 + 24x + 57$
1. $(-4,9)$, minimum
2. $(4,9)$, maximum
3. $(0,57)$, minimum
4. $(-12,87)$, minimum
Find the solution of the following: $x^2 + 5 = 32$.
1. $x = +-9sqrt6$
2. $x = +-3sqrt3$
3. $x = +-sqrt32$
4. $x = +-3sqrt6$
Which equation represents the parabola shown below?
1. $y = 1/2 x^2$
2. $y = -1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
Which quadratic equation has roots -2 and 3?
1. $x^2+x+6=0$
2. $x^2-x-6=0$
3. $x^2-6x+1=0$
4. $x^2+x-6=0$
The quadratic expression $-x^2 +4x -3$ written in the form $k-a(x-h)^2$ is
1. $1-(x+2)^2$
2. $1-(x-2)^2$
3. $3-(x+2)^2$
4. $3-(x-2)^2$
Factor the trinomial $x^2+4x-5$.
1. $(x-1)(x+5)$
2. $x^2-1$
3. $(x+4)(x+9)$
4. $5x^2-5$
Factor the trinomial:

$x^2+5x+4$
1. $(x-1)(x-4)$
2. $x+5$
3. $x^2+9$
4. $(x+1)(x+4)$
Find the roots of $y=(x-6)(2x-4)$
1. 2 and 6
2. 6 and 4
3. 4 and 3
4. -4 and -2
Factor: $b^2 - b - 20$
1. $(2b - 5) (b + 4)$
2. $(b - 5) (b + 4)$
3. $(b -10) (b + 2)$
4. $(b + 5) (b - 4)$
Solve:

$y^2+2y+1=0$
1. $y=3$
2. $y=0$
3. $y=-1$
4. $y=1$
1. $y=(x-3)^2+5$
2. $y=-(x+3)^2+5$
3. $y=(x+3)^2-5$
4. $y=-(x-3)^2+5$