All of the x-values of a function (how far right and left a graph goes)
100
What is a vertical line test used to determine?
Whether a graph is a function or a relation
100
What is the basic formula for direct variation?
x = ky
100
How do you find the break even point algebraically?
C(x) = R(x)
100
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
In the equation y = 3x - 15, what do the numbers 3 and -15 represent?
Slope and y-intercept
200
What is the slope of the line perpendicular to y= 1/2 x -5?
m = -2
200
How can you tell if the linear regression equation is a good fit for your data?
If the line closely matches the scatter plot points, or if the r^2 value is close to 1
200
If a car was worth $10,000 in the year 2000, but is only worth $5500 in the year 2015, what is the slope of the linear relationship between time and price?
Hint: Use ordered pairs (time, price)
m = -300
200
Explain what our next step would be in solving this system of equations:
x + y + 2z = 6
4y + 3z = 5
-3x + 2y +0.5z = 10
Multiply the first row by 3 and add to the third row to eliminate the x variable in the third row
300
Describe the graph y = x^2
Parabola, U-shaped
300
What is the slope of a vertical line?
Undefined
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
y = 0.0251 x - 0.0848
300
It costs $100 to buy a guitar and $5 to record a CD. You can sell CDs for $10 each. What are the cost and revenue functions?
R(x) = 10x
C(x) = 100 + 5x
300
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
What is the triangular form of a MATRIX called?
Row echelon
400
How should you test to see if a function is even or odd?
Plug in and solve for f(-x)
400
If height varies directly with weight, and a 71 inch tall person weighs 190 lbs, what is the constant of proportionality?
k = 0.374
400
From the previous question with the given cost and revenue functions R(x) = 10x and C(x) = 100 + 5x, how many CDs do you have to sell to break even?
20 CDs
400
If asked to solve the following:
1/(x-4) - 3x/(x^2 -16) = 2/(x+4)
What would be your first step?
Find the least common denominator (x-4)(x+4), and multiply all terms by the LCD
500
If a system of two linear equations result in parallel lines, what kind of system is it?
Inconsistent and no solution
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
For the previous problem where we found the linear regression line to be
y = 0.0251 x - 0.0848
What is the value of y when x = 12.5?
y = 0.229
500
From the earlier question, if you know the worth of a car can be given as a function of time:
y = -300 x + 10,000
How much will the car be worth in 2017?
$4900
500
Solve the following matrix using RREF on your calculator:
3x + 9y + 6z = 3
2x + y - z = 2
x + y + z = 2