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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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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
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 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 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. $(x + 3)^2 = 16$
Find the solution of the following: $x^2 + 5 = 32$.
1. $x = +-9sqrt6$
2. $x = +-3sqrt3$
3. $x = +-sqrt32$
4. $x = +-3sqrt6$
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. $5x^2-5$
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. $(b + 5) (b - 4)$
Factor the expression.
$9x^2 + 24x +16$
1. $(x + 4)(9x - 1)$
2. $(3x + 16)(3x + 1)$
3. $(3x + 4)^2$
4. $(3x + 8)^2$
Which of the following are dependent events? There may be more than one correct answer.
1. Rolling a die three times.
2. Picking two cards from a deck of cards, one at a time, without replacement.
3. Rolling two dice, one after the other.
4. Picking three cards from a deck of cards, one at a time, with replacement.
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. $x^2+x-6=0$
$x^2+5x+4$
1. $(x-1)(x-4)$
2. $x+5$
3. $x^2+9$
4. $(x+1)(x+4)$