Given the linear functions m times x is equal to 2 thirds x minus 1 half and n times x is equal to 1 fourth x plus 3 eighths , what is m times x minus n times x ?

Subtract n(x) from m(x): (2/3x − 1/2) − (1/4x + 3/8). The x-coefficients give 2/3 − 1/4 = 5/12, and the constants give −1/2 − 3/8 = −7/8. So m(x) − n(x) = 5/12x − 7/8, which is choice D.

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