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Subtract. $(7a^2 - 3a) - (5a^2 - 5a)$
1. $2a^2 - 8a$
2. $2a^2 + 2a$
3. $4$
4. $12a^2 - 8a$
Solve the equation $x^2-2x-35=0$.
1. x=-7 and x=5
2. x=-7 and x=-5
3. x=7 and x=-5
4. x=7 and x=5
Factor the quadratic trinomial $x^2-29x+100$.
1. $(x+25)(x-4)$
2. $(x+25)(x+4)$
3. $(x-25)(x-4)$
4. $(x-25)(x+4)$
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
Find the point(s) of intersection of the following equations.
$y=4x+2$
$y=2(x-1)^2-2$
1. No intersection
2. $(1,6), \ (-1,-2)$
3. $(2+sqrt(3),10+4sqrt(3)), \ (2-sqrt(3), 10-4sqrt(3))$
4. $(2+sqrt(5),10+4sqrt(5)), \ (2-sqrt(5),10-4sqrt(5))$
What is the factored form for the quadratic trinomial $x^2+8x+15$?
1. $(x-3)(x-5)$
2. $(x+3)(x+5)$
3. $(x-3)(x+5)$
4. $(x+3)(x-5)$
Factor the quadratic binomial $64m^2-81n^2$.
1. $(8m-9n)(8m+9n)$
2. $(8m+9n)(8m+9n)$
3. $(8m-9n)(8m-9n)$
4. $(8m-9ni)(8m+9ni)$
The standard form of a quadratic equation is the following:
1. $y = mx + b$
2. $y = ax^2 + bx + c$
3. $y = a(x - h)^2 + k$
4. $y = a(x - p)(x - q)$
Which equation represents the parabola shown below?
1. $y = 1/2 x^2$
2. $y = -1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
Solve for x: $(x - 2)(2x + 3) = 0$
1. -.3
2. -2, -2/3
3. 2, -3/2
4. 2, 3/2
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. $x=-3/4$
$4x^2 = 9$
1. $x = pm 3/2$
2. $x = 2/3$
3. $x = pm 2/3$
4. $x = -3/2$