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You can create printable tests and worksheets from these Grade 9 Quadratic Equations 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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Expand and simplify
$(x- 5 ) (x + 6)$
1. $x^2 - 1x + 30$
2. $x^2 +11 x - 30$
3. $x^2 + x - 30$
4. $x^2 - 11x -30$
Which equation represents the graph below?
1. $y = 2x$
2. $y = 2x^2$
3. $y = - 2x$
4. $y = - 2x^2$
Factor the expression.
$x^2 - 10 x + 16$
1. $( x - 8) (x - 2)$
2. $(x -4 ) (x - 4)$
3. $(x - 8) (x +2)$
4. $(x + 8 ) (x - 2)$
Which expression has only one solution?
1. $x^2 - x - 20$
2. $x^2 + 10x + 7$
3. $x^2 - 12x + 36$
4. $x^2 + 13x + 42$
Which of the following is NOT a quadratic equation?
1. $x^2 - 4 = 0$
2. $-9 + x^2 = 0$
3. $-7x + 12 = 0$
4. $-2 + 9x + x^2 = 0$
If you complete the square for $x^2-10x=14$, what will the factored quadratic be?
1. $(x-5)^2=39$
2. $(x-5)^2=114$
3. $(x+5)^2=114$
4. $(x+5)^2=39$
Which expression is equivalent to $(2x+3)(x-1)$
1. $2x^2+x-3$
2. $2x^2+x+3$
3. $2x^2+3x+3$
4. $2x^2+3x-3$
What are the solutions of $x^2 -3x - 40$?
1. -5 and -8
2. -5 and 8
3. 5 and -8
4. 5 and 8
Which function has a y-intercept of 4?
1. $y = 2x^2 + 1$
2. $y = 2x^2 + 4x$
3. $y = 2x^2 - 4$
4. $y = 2x^2 + 4$
Which equation represents the graph of the parabola?
1. $y = - x$
2. $y = x$
3. $y = -x^2$
4. $y = x^2$
What are the x-intercepts of the graph of $-x^2 +3x - 2 = 0$
1. x = -1, x = -2
2. x = 1, x = 2
3. x = 1, x = -2
4. x = -1, x = 2
What is the x-coordinate of the vertex of the graph of $y = -2x^2 - x +8?$
1. $-1$
2. $-(1/4)$
3. $(1/4)$
4. $(1/2)$
Choose the best description of the graph represented by this inequality, $y < -4x^2 + 8x - 5.$
1. opens down; dashed line; shading down inside parabola
2. opens up; dashed line; shading up inside parabola
3. opens down; solid line; shading down outside parabola
4. opens up; solid line; shading up and outside parabola
Subtract$(7a^2 - 3a) - (5a^2 - 5a)$
1. $2a^2 - 8a$
2. $2a^2 + 2a$
3. $4$
4. $12a^2 - 8a$
Complete the square to find the minimum or maximum value.
$x^2-7x+14$
1. $7/4$
2. $21/2$
3. $-7/2$
4. $10$
$x^2 + x=12$