Vocab/Concepts
Linear and Inequalities
Linear Systems and Abs Value
Quadratics and Polynomials
Piecewise and Transformations
100
What is the domain of a function?
All of the x-values of a function (how far right and left a graph goes)
100
In the equation y = 3x - 15, what do the numbers 3 and -15 represent?
Slope and y-intercept
100
Solve: |4x + 3| = -7
No solution
100
What does the graph of y = x^2 look like?
Parabola opening upward
100
What does the graph of y = |x| look like?
V - shaped
200
In the equation y = 3x - 15, what do the numbers 3 and -15 represent?
Slope and y-intercept
200
If asked to find where f(x) > g(x), how can you find this using a graph?
The line for f(x) will be higher than the line for g(x)
200
Describe how you would solve |3x - 2| = 7
Set up two equations: 3x - 2 = 7 and 3x - 2 = -7
200
Solve for x: x^2 +2x - 24 = 0
x = -4, 6
200
What kind of transformation happens if the x is multiplied by -1?
Reflection over y-axis
300
How should you test to see if a function is even or odd?
Plug in and solve for f(-x)
300
Given the following points, what is the linear regression equations? x = 2, 11, 15, 20, 33 y = 0.05, 0.12, 0.21, 0.45, 0.78
What is y = 0.0251 x - 0.0848
300
What is the name of the triangular form for a 3x3 matrix?
Row Echelon
300
What is the quadratic formula?
- b +/- sqrt((b^2) - 4ac) ---------------------------- 2a
300
Given f(x) = 4x +1 from -48 What is the y value of the function when x = 7?
y = 5
400
If a system of two linear equations result in parallel lines, what kind of system is it?
Inconsistent and no solution
400
Explain how to evaluate the following: If g(x) = 2x - 5, find g(a-2)
Plug the expression "a-2" into g(x) wherever there is an x variable
400
Solve: |2x| < 8
-4 < x < 4
400
How do you find all the possible zeroes for P(x) = 4x^4 + 3x^3 - 5x^2 -9?
List factors of 9 / factors of 4
400
What are the CBAD constants for f(x) = -(x-3)^2 +5?
A = +3 B = * 1 C = * -1 D = +5
500
If you solve a matrix and find that the bottom row is all zeros, how should you report your answer?
In terms of the dependent variable
500
What is the slope of the line perpendicular to y= 1/2 x -5?
m = -2
500
Solve the following matrix using RREF on your calculator: 3x + 9y + 6z = 3 2x + y - z = 2 x + y + z = 2
(2, -1, 1)
500
What equation can you use to find the maximum or minimum of a parabola?
x = -b/2a
500
Given f(x) = 4x +1 from -48 What is the shape of the graph from -4 to 5 and what happens at the end points?
Upward slanted line, open circles at both ends
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