Writing Linear Equations
Linear Word Problems
Combinations of Functions
Inverse Functions
100
Write the equation of the line that passes through (4,-5) and has a slope of -3
y=-3x+7
100
A gym charges a $25 signup fee plus $30 per month. Write a linear equation to represent the total cost C after m months. Then, find the cost after 6 months.
C=30m+25
$205
100
Let f(x)=2x+3 and g(x)=x−5.
Find (f+g)(-4)
-14
100
Find the inverse of the function.
f(x)=3x+5
f^-1(x)=(x-5)/3
200
Find the equation of the line that passes through (9,3) and is parallel to the line
y=-1/2x+8
-1/2x+15/2
200
A taxi company charges based on the distance traveled. A 3-mile ride costs $12, and a 7-mile ride costs $20. Assuming a linear relationship, write an equation for the cost C in terms of miles m. What is the cost of a 10-mile ride?
$26
200
f(x)=3x+2 and g(x) = x2.
Find (g∘f)(x)
9x2+12x+4
200
Find the inverse of the function.
f(x)=5x^3-4
root(3)((x+4)/5)
300
Find the equation of the line that passes through (3,-6) and (-2,0).
-6/5x-12/5
300
One rental car company A charges $50 to rent a car plus $0.25 for every mile driven. Company B charges $80 to rent a car plus $0.10 for every mile driven. How many miles driven would result in the price being the same between the two companies?
200 miles
300
MOHLER MOMENT:
You have 30 seconds to list as many musicals as you can that Mr. Mohler has been in. Bring your answer to the front before the alarm goes off or it will not be accepted. 50 pts for correct answers. -100 pts for wrong answers.
300
Find the inverse of the function.
y=3sqrt(x+4)-2
((x+2)/3)^2-4
400
Find the line that passes through (8,3) and is perpendicular to the line y=3x-5
-1/3x+17/3
400
A business’s profit P depends on the number of items sold x. If the company makes $500 profit from selling 20 items and $2000 profit from selling 50 items, write a linear equation that models this situation. Use your equation to predict the number of items they need to sell to make $4,000 in profit.
P=50x-500
400
Find f(f(x)) if
f(x)=2x^2-4
f^-1(x)=8x^4-32x^2+28
400
Find the inverse.
y=2x^2-5
sqrt((x+5)/2)
500
Point A is at (2,6). Point B is at (6,-2). Find the equation of the line that is perpendicular to segment AB and passes through the midpoint of AB.
y=1/2x
500
BECKHAM BONUS:
1) What college did Mrs. Beckham go to for undergrad?
2) What instrument does Mrs. Beckham play?
3) What bone did Mrs. Beckham break in college? (LLL)
1) Ole Miss
2) Oboe
3) Hip
500
Find f(f(g(x)))
f(x)=3x+5
g(x)=-x^2+4
-9x^2+56
500
Find the inverse.
y=(5-2x)/(x+4)
y=(5-4x)/(x+2)