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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Rational Expressions
Applications of Rational Expressions

Warm-Ups



1

The formula t = (1 - t)/m, solved for m, is m = (1 - t)/t.
A)TRUE
B)FALSE
2

To solve 1/m + 1/n = 1/2 for m, we multiply each side by 2mn.
A)TRUE
B)FALSE
3

If Fiona drives 300 miles in x hours, then her average speed is x/300 mph.
A)TRUE
B)FALSE
4

If Miguel drives 20 hard bargains in x hours, then he is driving 20/x hard bargains per hour.
A)TRUE
B)FALSE
5

If Fred can paint a house in y days, then he paints 1/y of the house per day.
A)TRUE
B)FALSE
6

If 1/x is 1 less than 2/(x + 3), then (1/x) - 1 = 2/(x + 3).
A)TRUE
B)FALSE
7

If a and b are nonzero and a = m/b, then b = am.
A)TRUE
B)FALSE
8

If D = RT, then T = D/R.
A)TRUE
B)FALSE
9

Solving P + Prt = I for P gives P = I - Prt.
A)TRUE
B)FALSE
10

To solve 3R + yR = m for R, we must first factor the left-hand side.
A)TRUE
B)FALSE