Conic Sections
Which+ conic section is represented by x2+y2=13 ?
A circle
What is the slope of y = 71x - 311 ?
71
One mile
There are four cups in a quart. How many cups are there in 3 quarts?
12
What is the logarithm (base 10) of 100 ?
2
Which conic section is represented by the equation
y = x2 - 4x + 10 ?
A parabola
What is the slope and intercept of this line:
2y + 5 = 6x - 3
slope: 3
intercept: -4
One train passes another going the same direction on parallel tracks. One is going 135 mph and the other is going 116 mph. To an observer on the slower train, how fast does the other train appear to be going?
19 mph
There are 3.785 liters in a gallon. If Cassie pays $1.25 per liter for gas in England, what would that be per gallon?
$4.73
Solve this expression for y:
2a2y + 4ay - aby = a2x
y = ax / (2a - 4 - b)
Where is the ellipse y2 - 2y + 2x2 = 8 centered?
(0, 1)
What is the equation of a line parallel to y = x - 2 and passing through the point (0, 8) ?
y = x + 8
Rachel and Sarah walked away from each other. Rachel took 30 steps a minute and Sarah took 25 steps a minute. How long (time) will they have walked when there are 1,320 steps between them?
24 minutes
Nick changed $100 for Euros at the airport, and received 88.5 Euros. What was his exchange rate in dollars per Euro?
1.13 dollars per Euro
If a certain material decomposes according to the function p = 2-t/10 , where p is the fraction of material left and t is the time in minutes, what is the half-life of the material in minutes?
10 minutes
What are the coordinates of the vertex of the parabola y = -x2 + 4x + 6 ?
(2, 10)
What is the equation of a line parallel to y = -2x and passing through the point (58, 200) ?
y = -2x + 84
Two aspiring marathon runners ran the same course. Bill ran 4.5 hours at 6 mph; If Kip finished in 4.0 hours, what was his rate and how long was the course?
6.75 mph; 27 miles.
There are 5,280 feet in a mile. If you walk 4.0 miles per hour, what is that in feet per second?
5.87 feet per second
Given log102 = 0.301, what is the log10200 ?
2.301
Where is the center and what is the radius of the circle x2 + 4x + y2 - 8y = 16
(-2, 4) and 6
What is the equation of a line perpendicular to
y = -x/3 - 10 , and passing through the point (-1, 0) ?
y = 3x + 3
Megan drives away at 60 mph. One minute later, Ellie follows her going 61 mph. How long will it take her to catch up to Megan? How far from the starting point will she catch up?
60 minutes; 61 miles.
Water weighs 1 g/mL. There are 1000 mL in a liter. There are 3.785 liters in a gallon. There are 454 grams in a pound. How many pounds does a gallon of water weigh?
8.34 pounds of water per gallon
What does the graph of y > x2 - 4x +5 look like (what shape, one key point location, dashed/solid line, which part shaded?)
Smiley parabola, vertex at (2, 1), dashed line, inside shaded.