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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. $(3x + 8)^2$
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. $8 + 2x^2$
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?
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
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 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. $a= -12, b=-6, and c= 0$
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
Determine the correct factorization of $12x^2 + 8x -15.$
1. (6x + 5)(2x - 3)
2. (6x - 5)(2x + 3)
3. (4x + 3)(3x - 5)
4. (4x - 3)(3x + 5)
Factor the expression.
$9x^2 + 24x +16$
1. $(x +4)(9x - 1)$
2. $(3x + 16)(3x + 1)$
3. $(3x + 4)^2$
4. $(3x + 8)^2$
The vertex of a parabola is
1. either the maximum or minimum point.
2. the point where x is zero or y is zero.
3. the only point where y is known.
4. line which divides the parabola into equal parts.
What is the the axis of symmetry of the quadratic equation $y=4x^2+6x-12 ?$
1. $x=-12$
2. $x=1/2$
3. $x=3/4$
4. $x=-3/4$