Relations & Functions
Composition of Functions
Graphing Linear Equations
Writing Linear Equations
Parallel & Perpendicular Equations
100
f(4) if f(x) = 5x - 10
What is 10?
100
Find (f+g)[x] if f(x) = x^2 - x - 6 and g(x) = x + 2
What is x^2 - 4?
100
What are the x and y intercepts of the following equation 4x + y - 3 = 0
What is x intercept = 3/4 or 0.75 and y intercept = 3?
100
Write the equation in standard form for the given information: slope = 5 and y-int = -2
What is 5x - y = 2 or -5x + y = -2?
100
Determine whether the graph of the following of equations is parrallel, coinciding, or neither and why? 2x - 3y = 5 6x - 9y = 21
What is parallel same slope different intercept.
200
f(-3) if f(x) = 4x^2 - 4x + 9?
What is 57?
200
Given f(x) = 3x^2 + 2x -1 and g(x) = 4x + 2 find [fog](x)
What is 48x^2 + 56x + 15?
200
Find the slope of the line passing through A(-3, 5) and B(6, 2)
What is -1/3?
200
Write in slope intercept form if the line passes through (4,5) and slope = 6.
What is y = 6x - 19?
200
Write the standard form of the equation of the line that passes through the point at (3, -4) and is parallel to x + 3y - 4 = 0.
What is x + 3y = -9
300
Mary Beth could jump 42 times each minute. g(1/3) if g(x) = 2/5x?
What is 6/5 or 1.2?
300
A sales representative for a cosmetics supplier is paid an annue salary plus a bonus of 3% of her sales over $275,000. Let f(x) = x - 275,000 and h(x) = 0.03x. If x is greater than $275,000, is her bonus represented by f[h(x)] or h[f(x)]? Explain
What is h[f(x)] because you must subtract before figuring the bonus?
300
Archeologists use bones and other artifacts found at historical sites to study a culture. One analysis they perform is to use a function to determine the height of the person from a tibia bone. Typically a man whose tibia is 38.500 cm long is 173 cm. tall. A man with a 44.125 cm. tibia is 188 cm. tall. Determine the slope and explain in the context of the problem
What is 2.667 for each cm of increase in length of the man's tibia, there is 2.667 cm increase in the man's height?
300
Write the equation in standard and slope intercept form if the line passes through A(1,5) and B(-8, 9)
What is y = (-4/9)X = (49/9) 4x + 9y = 49?
300
Write the standard form of the equation of the line that is perperdicular to the graph of x = 12 and passes through the point (6, -13)
What is y = -13
400
k(4c) if k(x) = x^2 +2x - 4?
What is 16c^2 + 8c - 4?
400
A sales representative for a cosmetics supplier is paid an annue salary plus a bonus of 3% of her sales over $275,000. Let f(x) = x - 275,000 and h(x) = 0.03x. Find her bonus if her sales for the year are $400,000
What is $3750?
400
The voltage V in volts produced by a battery is a linear function of the current i in amperes drawns from it. The opposite of the slope of the line represents the battery's effective resistance R in ohms. For a certain battery, V = 12.0, when i = 1.0 and V = 8.4 when i = 10.0. What is the effective resistance of the battery?
What is 0.4 ohms?
400
Determine whether the points at (5, 9), (-3, 3), and (1, 6) are collinear and justify your answer.
What is yes common slopes between the two line sharing the one common point?
400
The equation of line m is 8x - 14y + 3 = 0. For what value of k is the graph of kx - 7y = -10 parallel to line m? perpendicular to line m?
What is k = 4 parallel and k = -(49/4) or -12.25 for perpendicular
500
Find f(m+1) if f(x) = |x^2 + 3x|?
What is |m^2 +5m + 4|?
500
f(x) = 3/(x - 7) and g(x) = x^2 + 5x. Find (f+g), (f - g), (fg), and (f/g) of x.
(f+ g)[x] = (x^3-2x^2-35x+3)/(x-7), x ≠ 7 (f - g)[x] = -(x^3-2x^2-35x-3)/(x-7), x ≠ 7 (fg)[x] = (3x^2 + 15x)/(x-7), x ≠ 7 (f/g?[x] = 3/(x^3-2x^2-35x), x ≠ -5, 0, 7
500
The voltage V in volts produced by a battery is a linear function of the current i in amperes drawns from it. The opposite of the slope of the line represents the battery's effective resistance R in ohms. For a certain battery, V = 12.0, when i = 1.0 and V = 8.4 when i = 10.0. Find the voltage of the battery will produce when the current is 25.0 amperes.
What is 2.40?
500
In 1990, the population of Georgia was 6,478,216. By 2000, the population had grown to 8,186,453. Write an equation in slope intercept form to model the population change.
What is y = 170,823.7x - 333,460,947?
500
What is the name of Mrs. Collins' 4 children?
What is Kiante, Ki'Asia, Kayla, and Kayleb. LOL!! Ran out of good questions.