Section 1.0 A - Algebraic Equations

Q2 - To solve a formula for a specific variable means to isolate that variable on one side of the equals sign with a coefficient (multiplier) of one.

True *** or False

Q10 - Which of the following shorthand operations effectively isolates the variable V in the density equation d = m / V?

a) move V up and over; move d down and over *** b) move V down and over; move d up and over c) move V down and over; move d down and over d) mover V up and over; move d up and over

Q3 - Solving d=rt for the variable r gives...

a) r = dt b) r = d/t *** c) r = t/d d) r = dt/t

Q1 - Which of the following corresponds to the relationship between the distance traveled (d), the time elapsed (t), and the rate of travel (r) for an object.

a) t = r x d b) r = d x t c) r = t / d d) d = r x t ***

Q8 - A shorthand method for isolating a variables is to move the other variables either "down and over" or "up and over" depending on whether they are numerators (above the line) or denominators (below the line). Which variable is isolated when V is moved "down and over" in PV = nRT and what is the corresponding equation?

P is isolated when V is moved "down and over" resulting in the following equation: P = (nRT) / V

Q7 - The equation PV = nRT is known as the ideal gas law equation and describes the behavior of gases under standard conditions. Which of the following operations isolates the variable V?

a) (1/V) x PV = nRT x (1/V) b) (1/P) x PV = nRT x (1/P) ***** c) (1/PV) x PV = nRT x (1/PV) d) (1/PV) x PV = nRT x (1/V)

Q6 - Given that the distance an auto travels is described by the equation d = rt, which of the following math operations results in the isolation of the variable t?

a) (1/r) x d = rt (1/r) ***** b) (r/t) x d = rt (r/t) c) (1/t) x d = rt (1/r) d) (1/t) x d = rt (1/t)

Q5 - Suppose you drive at a rate of 60 miles per hour, how long will it take for you to drive 30 miles?

a) 2 hr b) 0.5 hr *** c) 0.25 hr d) 2.5 hr

Q4 - Given the rate of travel (speed) is r = d/t, what are the units commonly used for the rate of travel of an automobile in the U.S.? Group of answer choices

a) ft / in b) mi / hr *** c) in / ft d) km / sec

Q9 - The equation for density is d = m / V where m is mass and V is volume. What equation does one get when V is moved "up and over" and what variable becomes isolated?

m = d x V, where M is isolated.