Solving Linear Equations: Distributive Property — Quiz

Question 10 • Transition Mathematics for Seniors

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

Answer

open paren 1 minus n close paren minus 3 is equal to 1 half times open paren 4 minus 3 n close paren

3 minus open paren n minus 1 close paren is equal to 1 half times open paren 3 n minus 4 close paren

3 minus open paren 1 minus n close paren is equal to 1 half times open paren 4 minus 3 n close paren

open paren n minus 1 close paren minus 3 is equal to 1 half times open paren 3 n minus 4 close paren

Explanation

“The difference of a number and one” is n − 1, so “three minus” that difference is 3 − (n − 1). “The difference of three times the same number and four” is 3n − 4; one-half of it is ½(3n − 4). Together, these expressions give choice B.

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