X marks the spot
Graphing
Systems
Radicals and Functions
Potpourri
100
The solution to the equation:
x^2-3x=54
What is x = {-6,9}?
100
Graph the equation y = -3x + 7.
100
The solution to the system:
3x-2y=22
7x+4y=34
What is (6,-2)?
100
If f(x) = -7x + 905, find:
a) f(-32)
b) f(x + h)
a) f(-32) = 1129
b) f(x + h) = -7x + -7h + 905
100
Bruce is saving his money to buy a new guitar. So far he has saved $220, and he plans to save $40 each month.
a) Create a linear function for the amount of money Bruce has saved after x months.
b) Use the function from part a to determine how much money Bruce will have saved after 8 months.
a) f(x) = 40x + 220
b) Bruce has saved $540 after 8 months.
200
The solution to the equation:
sqrt(4x+1) - 3 = 4
What is 12?
200
Graph the function:
f(x)=3/2x-6
State the Domain and Range.
Domain:
(-oo,oo)
Range:
(-oo,oo)
200
The solution to the system:
y=3x-2
2x-3y=-15
What is (3,7)?
200
Simplify the radical expression. Assume that all variable represent nonnegative real numbers.
sqrt(175r^6s^8t^5)
5r^3s^4t^2sqrt(7t)
200
A vehicle involved in an accident made 200 feet of skid marks on the asphalt. The speed, s, the vehicle was traveling in miles per hour when it started skidding can be approximated by the formula
s = sqrt(30df)
, where d represents the length of the skid marks in feet and f represent the drag factor of the road. If the drag factor for asphalt is 0.75, find the speed the car was traveling. Round to the nearest mile per hour.67 mph
300
The solution to the equation:
|x+3|-8=-2
What is x = {-9,3}
300
Graph the function:
f(x)=|x+2|-4
State the domain and range.
Domain:
(-oo,oo)
Range:
[-4,oo)
300
A minor league baseball team charges admission of $5 for adults and $4 for chldren. If 1050 people paid a total $5000 to see last night's game, how many children were at the game?
There were 250 children at the game.
300
Add or subtract:
5sqrt20 +3sqrt125
25sqrt5
400
The solution to the equation:
Be sure to check for extraneous solution.
sqrt(3x+22)+ 2=x
What is 9?
400
Graph the function:
f(x)=-|x-1|+2
State the domain and range.
Domain:
(-oo,oo)
Range:
(-oo,2]
400
Celia has $5 and $10 bills in her purse, worth a total of $205. She has 8 more $5 bills than $10 bills. How many $5 bills does Celia have?
Celia has 19 $5 bills.
400
Multiply: (10 + 2i)(13 + 8i)
114 + 106i
500
The solution to the inequality:
Write you answer in interval notation.
|2x+1|>5
What is
(-oo,-3)uu(2,oo)
500
In 12 minutes, the top three finishers in the 2007 Nathan's Hot Dog Eating Contest consumed a total of 178 hot dogs. The winner, Joey Chestnut, at 3 more hot dogs than the runner-up, Takeru Kobayashi. Pat Bertoletti finished a distant third, 14 hot dogs behind Kobayashi. How many hot dogs did each person eat?
Chestnut ate 66 hot dogs, Kobayashi ate 63 hot dogs, and Bertoletti ate 49 hot dogs.
500
Rationalize the denominator:
Be sure to simplify answer.
8/(sqrt11-sqrt5)
(4sqrt11 +4sqrt5)/3