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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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Factor the expression.
$9x^2 + 24x +16$
1. $(x + 4)(9x - 1)$
2. $(3x + 16)(3x + 1)$
3. $(3x + 4)^2$
4. $(3x + 8)^2$
Find the a, b, and c for this quadratic equation.
$-6x^2-12=0$
1. $a=-6, b =0, and c=-12$
2. $a=6, b = 0, and c= 12$
3. $a=0, b= 12, and c =-6$
4. $a= -12, b=-6, and c= 0$
Which is the correct factorization of $x^2 - 6x -27?$
1. (x + 3)(x - 9)
2. (x - 3)(x +9)
3. (x - 3)(x - 9)
4. (x + 3)(x + 9)
Declare which of the following is the solution to $10x^2 + x -2 = 0.$
1. $x = - 5, x = -2$
2. $x = - 1/2, x = 2/5$
3. $x = - 2/5, x = 1/2$
4. $x = 2, x = 5$
Determine the solutions of $x^2 - 14x +49 = 48.$
1. $- 7 +- 4sqrt3$
2. $- 7 +- 16sqrt3$
3. $7 +- 4sqrt3$
4. $7 +- 16sqrt3$
Expand. $(2x + 4 )(2-x)$
1. $8 - 2x^2$
2. $12 - 2x^2$
3. $8x - 2x^2$
4. $8 + 2x^2$
The solutions of $x^2 + 6x +10 = 0$ are which of the following?
1. $x = -4, x = -22$
2. $x = 2, x = 4$
3. $x = - 3 +- i$
4. $x = 3 +- i$
Solve for x. $(x - 2)(2x + 3) = 0$
1. -.3
2. -2, -2/3
3. 2, -3/2
4. 2, 3/2
Factor the trinomial.

$x^2+5x+4$
1. $(x-1)(x-4)$
2. $x+5$
3. $x^2+9$
4. $(x+1)(x+4)$
Which shows the quadratic expression $-x^2 +4x -3$ written in the form $k-a(x-h)^2$?
1. $1-(x+2)^2$
2. $1-(x-2)^2$
3. $3-(x+2)^2$
4. $3-(x-2)^2$
Find the a, b, and c for this quadratic equation: $49-121x^2-170x=0$.
1. a = -170, b = -121. and c = 49
2. a = 49, b = -121, and c = -170
3. a = -121, b = 49, and c = -170
4. a = -121, b = -170, and c = 49
Find the solution of the following: $x^2 + 5 = 32$.
1. $x = +-9sqrt6$
2. $x = +-3sqrt3$
3. $x = +-sqrt32$
4. $x = +-3sqrt6$
Solve the quadratic equation $x^2+4=104$.
1. $x=10$
2. $x=+-10$
3. $x=-10$
4. None of the above
Which is a factor of $2x^2+7x-4$?
1. $(2x-1)$
2. $(2x+1)$
3. $(x-4)$
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. $(x + 3)^2 = 16$
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$