CSP 02 Math Study Questions

Algebraic Equations

• To solve for x in the equation 4x2 + 4x - 2 = 0, the possible solutions are -0.87 or 0.87.

• The equation x = 5253 has a solution of 625.

• The equation 60 = 4x has a solution of 15.

• The equation x = log 125 has a solution of 2.10.

• The equation 0.125 = log x has a solution of 1.33.

• The equation x2 + 4x + 4 = 0 has a solution of -2.00.

Unit Conversions

• 15 mph is equivalent to 6.71 m/sec.

• 700 mm Hg is equivalent to 31.3 in H2O.

• 3 gallons is equivalent to 0.424 ft3.

Probability and Statistics

• The probability of the plant losing power on any given day is 0.0075.

• The probability that the UPS will fail on any given day is 3.1 x 10-6.

• The probability of a power failure causing a problem is 1 day out of every 118,000 years.

• The probability of there NOT being a problem on any given day with the computer is 0.99999977.

• The average breakthrough time for respirator filters is 15.7 hours, with a standard deviation of 3.88 hours.

• 2.4% of respirator filters are expected to have a breakthrough time of less than 8 hours.

Real-World Applications

• A spill containment wall built around the base of a 4,000 gallon tank must contain the contents of the tank plus 10%, and must be at least 3.0 ft high.

Practice solving for x in various equations, including quadratic and logarithmic equations.