## Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia’s score. Use the drop-dow

Question

Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia’s score. Use the drop-down menus to complete the statements about the expression that represents the scenario. What does the expression x + x + 10 + 2x – 16 represent from the given scenario? What does the variable in the expression represent? What is the expression in simplified form? What is the constant in the simplified expression?

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1. Let Mia’s score be .  Then, Erick scored 10 more than Mia, so his score is .  Isabelle scored 16 less than twice Mia’s score, so her score is .  We can see that is the sum of these variables, so the expression represents the total of their scores in this scenario.  Moreover, we recall that the variable in the expression, , represents Mia’s score.

To simplify this expression, we add up the variables and the numbers separately, giving us .  Therefore, in simplified form, the expression is equal to 4x – 6.  The constant term in an expression is the term not multiplied by a variable, so in this case, it is -6.