Translate the following phrase into an algebraic expression using the variable m. Do not simplify.

Question

the number of seconds in m minutes and 11 seconds

Answer 1

Use the Multiplicative Identity (that is,1). Any number multiplied by 1 retains the same value, but the units change.

For this problem:

1 = ( ( 60 seconds) / (1 minute) ) = ( (1 minute) / (60 seconds) ) [choose the one that allows units to cancel)

m minutes and 11 seconds

(m minutes) + (11 seconds)

(m minutes) * ( ( 60 seconds) / (1 minute) ) + (11 seconds)

60m seconds + 11 seconds [minutes cancel]

( 60m + 11 ) seconds

Answer 2

That is

60m + 11