Number Problem: One positive number is 4 less than twice another positive number and their product is 96. Set-up an algebraic equation and solve it to find the two numbers.
1. Read the problem several times and organize the given information.
2. Identify the variables by assigning a letter to the unknown quantity.
3. Set up an algebraic equation.
4. Solve the equation.
5. Finally, answer the question and make sure it makes sense.
With geometry type problems it sometimes helps if we draw a picture. Here are some area formulas that you are expected to know.
Geometry Problem: The hypotenuse of a right triangle measures 10 inches. If the small leg is 2 inches less than the longer leg, find the lengths of the legs.
Projectile Problem: A projectile is launched from a roof 80 feet high at an initial velocity of 64 feet per second. How long will it take the projectile to land on the ground?
b. When is the rocket exactly 32 feet above the ground?
c. When will the rocket hit the ground?