Literally Solving Literal Equations
This is what you get when you solve the following equation for P.
3P - 6 = 15T
What is
P=5T + 2?
What is
h=P/(mh)?
This is the the effect on the area if the length of the rectangle is doubled and the width is halved.
What is nothing? OR What is stays the same?
This is the furthest distance a cheetah (seen here) can sprint when going 92 ft/s (~62 mph) in a 2.5 second burst.
What is 230 feet?
A triangle has lengths 4, 5, and 8 units. A scaled copy of the triangle has sides that are 12, 15 and this respectively!
What is 24 units?
This is what you get when you solve the following equation for y.
y(3x - 2)=15r
What is
y=(15r)/(3x-2)?
The formula for density when solved for m is this.
The formula for density is
d=m/v
What is
m = dv ?
This is the affect on the area of doubling the width of a rectangle and reducing the length to 2/3 its original size.
What is "Area is 4/3 its original size"?
This is the time it would take a plane traveling at 450 mph to travel from Amherst, MA to Paris, France which is 3,600 miles.
What is 8 hours?
What is a square?
This is what you get when you solve the following equation for t.
6y(2t - 10) = 24p
What is
t = (2p)/y+5 ?
This is what you get when you solve the formula for area of a trapezoid (seen below) for h.
A=1/2(b1+b2)h
What is
h=(2A)/(b1+b2) ?
The length of a rectangle would see the following effect if the area is tripled and the width is cut in half from the original.
What is the length increased by a factor of 6?
This is the speed of two cars that leave in opposite directions from the same point. Car A is traveling 10 mph faster than Car B. After five hours they are 550 miles apart.
What is Car A is going 60 mph and Car B is going 50 mph?
Solve for x.
2/9(4x-8)=2/3(7x+1)
What is x = -11/17?
This is what you get when you solve the following equation for G.
(4g)/25=16/g
What is
g = 10?
This is what you get when you solve the formula for converting degrees Fahrenheit to degree Kelvin for F.
K=5/9(F-32)+273.15
What is
F=9/5(K-273.15)+32 or F=9/5K-495.67?
A rectangle has a length that is 5 times longer than its width. It has an area of 180 cm2. This is its perimeter.
What is 60 cm?
This is the speed of two boats that leave from the same place. Boat A is traveling 20 mph less than triple Boat B's speed. After four hours of travel, they are 880 miles apart.
What is Boat A is traveling 40 mph and Boat B is traveling 20 mph?
A pentagon is a five sided polygon, a hexagon is a six sided polygon, this is the name for a seven sided polygon.
What is a heptagon?
This is what you get solving the following equation for R.
(3q+2)/(4r)=(12t -2)/8
What is
r=(3q+2)/(6t-1) ?
This is what you get when you solve the formula for area of a circle for r. The formula for the area of a circle is
A=pir^2
What is
r=sqrt(A/pi) ?
This is the dimensions of rectangle that has a length that is 19 cm less than its perimeter. It also has an area of 45cm2.
What is width of 5 cm and length of 9 cm?
Robin Banks is 325 feet from his hideout and running towards it, if he gets there before being caught he gets away. Officer Willie Ketchup is 170 feet behind Robin also running toward Robin's hideout. Robin is running at 8 ft/s and Willie is running at 12 ft/s. This is the outcome for Robin.
What is Robin gets away?
Willie is gaining on Robin by 4 ft/s.
So to gain 170 feet on Robin will take Willie 42.5 s.
However, Robin will travel 8 x 42.5 = 340 feet in that time, making it 325 feet to his hideout before Willie can catch up!
What is 4800 ft2? (Scale factor for area is squared)