Question

Mischa wrote, “Anderson has ten trading cards. He gives some to Desai.” This describes a possible context for the expression x minus 10. Which explains the accuracy of what Mischa wrote?

It is inaccurate. Her words translate to 10 minus x.
It is inaccurate. Her words translate to 10 less-than x.
It is inaccurate. Her words translate to x less-than 10.
It is accurate. Her words translate to x minus 10.

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Answer 1

Mischa's description leads to an inaccurate mathematical expression. The correct expression based on her description is '10 minus x,' not 'x minus 10,' since Anderson starts with 10 cards and gives an unknown quantity to Desai.

Step-by-step explanation:

The statement made by Mischa, “Anderson has ten trading cards. He gives some to Desai,” should reflect the expression 10 minus x. If we let 'x' represent the number of cards Anderson gives to Desai, then the resulting expression for the cards Anderson is left with after giving away some is 10 minus x, not x minus 10. Mischa's description is inaccurate because it suggests that the number of cards Anderson started with is unknown (x), and he then gives away 10, which would incorrectly leave him with a negative number of cards if he had fewer than 10 to start with.

In the correct expression, 10 represents the total cards Anderson initially has, and then we subtract the variable x (the unknown quantity of cards given away) to get the remaining number of cards with Anderson. Therefore, the accurate way to write the expression based on Mischa's description is 10 - x.