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AssignmentMultiple Choice

Solving Linear Equations: Distributive Property

Question 1 • AZ-Algebra 1A (MA101)

Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. Which equation could Markus use to determine the score of the fifth test, x?

Answer
A
4(x + 5) = 353 + x
B
5(x + 5) = 353 + x
C
4(x – 5) = 353 + x
D
5(x – 5) = 353 + x

Explanation

The total of Markus’s first four scores is 85 + 92 + 82 + 94 = 353, so the average of all five tests is (353 + x) ÷ 5. Since his fifth-test score is five points lower than that average, x + 5 equals the average. Multiplying both sides by 5 gives 5(x + 5) = 353 + x, which is choice B.

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