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# Quadratic Expressions and Equations Review #2 (Grade 10)

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## Quadratic Expressions and Equations Review #2

1.
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.
2.
Which equation represents the parabola shown?
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
3.
How many real solutions does the following equation have?
$3x^2 +6x -3=0$

4.
Find the discriminant and how many roots plus the type of roots for the following equation:
$3x^2 + 7x - 17 = 0$
1. 253, 2 rational roots
2. 253, 2 irrational roots
3. -155, 2 complex roots
4. 0, 1 rational root
5.
Which equation does have a real number solution?
1. $x^2 + 5x + 7 = 0$
2. $x^2 + 7x + 11 = 0$
3. $2x^2 + 8x + 9 = 0$
4. $3x^2 + 3x + 4 = 0$
6.
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
7.
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. $(1/2)$
8.
What is the equation of the axis of symmetry of the parabola given by the equation $y = 6(x + 1)(x - 5)$?
1. y = 6
2. y = -2
3. x = 2
4. x = -2
9.
What are the roots of the following equation?
$y= (x-7)(x+3)$
1. -7 and 3
2. -21
3. 21
4. 7 and -3
10.
Which is a factor of $x^2 - 11x +24$?
1. x + 3
2. x - 3
3. x + 4
4. x - 4
11.
Factor.
$x^2-144$

12.
Factor completely. $5x^2+20x+15$

13.
Solve for x: $(x - 2)(2x + 3) = 0$
1. -.3
2. -2, -2/3
3. 2, -3/2
4. 2, 3/2
14.
Solve. $x^2-3x=28$
1. -4, 7
2. -14, 2
3. -7, 4
4. -2, 14
15.
Solve by using the quadratic formula.
$2x^2 + 5x + 2 = 0$

16.
Which function has a y-intercept of 4?
1. $y = 2x^2 + 1$
2. $y = 2x^2 + 4x$
3. $y = 2x^2 - 4$
4. $y = 2x^2 + 4$
17.
Given the quadratic function:

$y = 2x^2 -11x + 12$

Use the quadratic formula to find the x-intercepts of the function.

18.
Graph the following equation. Label the axis of symmetry, vertex, and roots (if applicable).
$y = -x^2 + 4x + 5$

19.
Graph the following equation. Label the axis of symmetry, the vertex, and the roots (if applicable).
$y =x^2-2x-8$

20.
$x^2 -kx + k=1$ This equation has
1. 2 solutions.
2. 1 solution.
3. no solutions.
4. 2 or 1 solution.
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