Given these equations, determine x and y:
3x - 4y = -4 and x + 2y = 2
What is x = -8 and y = 5
100
This is the reason that the following expression is *not* a polynomial:
3x^(3) + 2x^(-2) - 5x + 2
What is "because you cannot have a negative exponent in the polynomial 'phrase.'"
100
Determine the inverse of this function:
y = 5x^3 + 7
What is y = [(x-7)/5]^(1/3)
100
Simplify this numerical phrase in *exact* terms:
(-32/243) ^ (1/5)
What is: -2 * (6)^(1/2) / 27
100
Determine the center and radius of the following circle:
(x-8)^2 + (y+3)^2 = 40
What is (8, -3) = center, and 2(10)^(1/2) = radius
200
Given: 2x - 4y = 13
4x - 5y = 8
What is x = - 11/2 y = -6
200
When graphing a quadratic equation, this equation form gives you both the vertex AND a "graphing pattern" to follow
What is VERTEX form?
200
Simplify: 25(x^2) -1 / 5(x^2) - 16x + 3
What is (5x+1) / (x-3)
200
Solve for x:
(6x + 9)^(1/3) = - 3
What is x = -6 ?
200
Determine the equation of a circle that has the endpoints of one of its diameters as (5, -3) and (-3, 7).
What is (x - 1)^2 + (y - 2)^2 = 41
300
It's because the length is 42 meters more than twice the width that the perimeter of this rectangular field is 606 meters. Most people want to know both numbers!
What is an 87 meter width and a 216 meter length?
300
These factors will solve this equation:
x^2 + 19x + 88 = 0
Complex numbers are made up of these two types
of numbers.
What are real numbers and imaginary numbers?
300
Identify this equation as one of the conic shapes:
3(x+2)^2 + 4(y-1)^2 = 192
What is an ellipse?
400
Determine the solution for this system:
x + y + z = 0
2x + 3y + 2z = -3
-x + 2y - 3z = -1
What is: x = 7, y = -3, z = -4
400
Within the quadratic equation, this part tells you if your equation has zero, one or two 'real' solutions.
What is the discriminant?
400
Simplify this expression:
(x+y)^(1/2) * (x-y)^(1/2)
What is (x^2 - y^2 )^ (1/2) ?
400
If you know that i^2= -1 and that i^4 = 1, it should be easy to find the the value of i^242
What is -1?
400
This is halfway between the directrix and the focus when graphing a parabola.
What is the vertex of the parabola?
500
Main Line Sporting Goods sold 30 Radnor Soccer tee shirts. White tee shirts sold for $9.95, and maroon shirts sold for $10.50. In all, $310.60 worth of merchandise was sold, but these were the exact amounts sold of each color:
What are 8 white shirts and 22 maroon shirts sold?
500
The hypotenuse of a right triangle is 25 km long. The length of one leg is 17 km less than the other, while this measurement is the perimeter of the triangle.
What is 56 km?
500
Simplify and express as a complex number.
(4 + 3i)(2 + i)
What is -41+11i ?
500
Simplify this expression:
(2 - 3i) / (3 + 5i)
What is: (-9 - 19i) / 34
500
The equation of the hyperbola with the given foci and
vertices:
Foci: (-8,0), (8,0) Vertices: (-6,0), (6,0)