Functions
Linear Systems
Vocabulary
Quadratics
Polynomials
100
The slope of a line that is perpendicular to y = 3x + 5.
What is -1/3?
100
The solution to this linear system.
What is no solution?
100
The name of the red line.
What is the axis of symmetry?
100
Solve this quadratic:
x2 + 3x = 40
What is x = -8 and x = 5?
100
The equation of this cubic.
What is
y = 2(x-1)^3 + 2
200
Using slope-intercept form, write an equation of a line that goes through these points: (-4, 1) and (-2, -2).
What is y = -3/2x - 5?
200
Someone graphed the following system of linear inequalities. Find the error in their graph.
y > x - 5
3x + y > -2
What is the blue shading should be above the line, not below?
200
The name of b2 - 4ac when using the quadratic formula.
What is the discriminant?
200
Solve this quadratic:
5x2 - 45 = 0
What is x = 3 and x = -3?
200
Solve this polynomial for all solutions:
x3 - 2x2 - 16x + 32 = 0
What is x = 2 and
x = +-4
300
The domain and range of this graph
What is domain of x > -4 and range of all real numbers?
300
The solution to this system:
y = 2x + 8
y = 3x - 1
What is (9, 26)?
300
The name of the degree of this function:
x4 - 2x2 + 6x5 - 2x + 1
What is quintic?
300
Solve this quadratic by completing the square:
x2 + 10x - 1 = 0
To complete the square add 25 to both sides.
What is
-5 +- root2 26
300
Solve this polynomial:
4x3 - 11x2 - 3x = 0
What is x = 0, x = 3, and
x = -1/4
400
Using standard form write the equation of the line with a slope of 1/4 and that goes through the point (4,3).
What is -x + 4y = 8 or x - 4y = -8?
400
The solution to this system:
-x + y = 2
2x + y = -1
What is (-1, 1)?
400
You can classify a system by the number of solutions. If a system has no solutions we classify it as this type of system.
What is an inconsistent system?
400
Solve using the quadratic formula:
5x2 = 2x - 2
What is
(1 +- 3i)/5
400
Solve this polynomial for all solutions:
x4 - 5x2 + 4 = 0
x = +-2
x = +-1
500
Write an equation for this graph: 
y = 2abs(x-3)-2
500
A company sells doodads and whirligigs. Below they used linear programming to graph all of the constraints they have. They make $4 in profit for doodads and $3 for whirligigs so their profit equation is P = 4x + 3y. How many of each object should they sell to maximize profit? 
What is 20 doodads and 45 whirligigs gives a maximum profit of $215?
500
In linear programming, this is the name of the function that we are trying to maximize or minimize.
What is the objective function?
500
Solve this system algebraically:
y = x2 - 2x - 6
y = 4x + 10
What is (8, 42) and (-2, 2)?
500
Solve this polynomial for all solutions:
x3 - 343 = 0
What is x = 7 and
x = (-7+-7iroot2 3)/2