Functions
Find h(-2)
if h(x) = 2x-1
h(-2) = 2(-2) - 1
h(-2)=-5
6x – 13 = 11
x= 4
The function below represents the gallons of water in a tub m minutes after you start filling the tub. Find and interpret m when G(m)=50
G(m)=10+20m
m=2
2 minutes after you start filling the tub, there are 50 gallons of water in the tub.
x + 3 + 3x = 7
x = 1
4x - 2 = 3x + 5
x = 7
Function V gives numbers of visitors at a store h hours after it opens. V(h)=2h+4
Find V(1) and explain what your answer represents.
V(1)=6
After 1 hour, there are 6 visitors.
3x + 5 = 14
x= 3
What are the two most common spices in the world?
Pepper and mustard
(Spices come from plants)
5 + 5x - 1 = 29
x = 5
2(x - 4) = 5x + 4
x = -4
A puppy's weight in pounds is represented by function W(m) where m is the amount of months since he was born.
What does W(2) represent?
Puppy's weight after 2 months
Least common M&M color?
Brown.
Which is the only NFL team to go a whole season undefeated, including the Super Bowl?
Miami Dolphins (1972)
-45 = 3x + 4 + 4x
x = -7
What are the three primary colors?
Red, Yellow, Blue
Function P gives the population of a town (in thousands) x years after 2025. P(x)=16+x
Explain what P(2)=18 represents in this situation:
In 2027, there are 18,000 people in the town.
(x/2)+8=10
x= 4
The function below represents the gallons of water in a tub m minutes after you start filling the tub. Find and interpret G(6)
G(m)=10+20m
G(6)=130
After 6 minutes, there are 130 gallons of water in the tub.
What is the only state in the United States that is only one syllable long?
Maine
4x+8=4x-2
NO SOLUTIONS
Function V gives numbers of visitors at a store h hours after it opens. V(h)=2h+4
How many hours has the store been open for if there are 8 visitors?
2 hours
V(2)=2(2)+4=8
(x/3)-3=-3
x= 0
The function below represents the gallons of water in a tub m minutes after you start filling the tub. Interpret the inequality and determine whether it is true.
G(4)<G(3)
G(m)=10+20m
False.
The amount of water in the tub after 4 minutes is not less than the amount after 3 minutes.
Solving Equations
-21 = 7(5k - 8)
k = 1
6x - 15 + 4x = 5(2x - 3)
Infinitely many solutions