AnswersCommon Core Algebra I A-ICModeling with Systems of Linear EquationsQuestion 9
9
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 9 • Common Core Algebra I A-IC

The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?

Answer
A
h = p − 4.2 h = 2p
B
h = 4.2 − p p = 2h
C
h = p − 4.2 p = 2h
D
h = 4.2 − p h = 2p

Explanation

The two books together weigh 4.2 pounds, so h + p = 4.2, or h = 4.2 − p. The hardcover weighs twice as much as the paperback, so h = 2p. These equations match choice D.

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