Misc.
Solve the absolute value equation −5|x+1|+2=12.
No solution
Solve for b when b/12 = 10/15.
b = 8
An equation stating that two ratios are equivalent.
What is a proportion?
Solve for x when |3x−6|=12.
{-2,6}
Solve the formula for the circumference of a circle, C=2πr, for r.
r = C / 2π
Solve for a when 6 + (1/4)a = 3
a = -12
The acceleration a of an object is equal to the difference between the final velocity v and the initial velocity u divided by time t. Enter a formula that represents this sentence.
(v - u) / t
Solve 3/(x+4) = 2/(x−4)
x = 20
Solve for y when 5(2y+1)=4y+10.
y = 5/6
The maximum speed, in miles per hour, of a cheetah is 18 more than 3 times the maximum speed of a hippopotamus. If the maximum speed of a cheetah is 75 miles per hour, what is the maximum speed of a hippopotamus?
h = 19
A thermometer is accurate to ±2°F. Write an absolute value equation can be used to find the greatest and least possible temperatures if the thermometer reading is 17°F.
|t - 17| = 2
The volume of a right pyramid is given by the formula V=13Bh, where B is the area of the base and h is the height. Solve for h.
h = 3V/B
On a map of Texas, the distance between Dallas and Houston is 4.8 inches. If 1 inch = 50 miles, what is the distance, in miles, between the two cities?
240 miles
Solve for x when −2(x+4)+3x=x−8.
Infinite solutions