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?

Answer 1

Let Mia's score be $x$.  Then, Erick scored 10 more than Mia, so his score is $x+10$.  Isabelle scored 16 less than twice Mia's score, so her score is $2x-16$.  We can see that $x + x + 10 + 2x - 16$ 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, $x$, represents Mia's score.

To simplify this expression, we add up the variables and the numbers separately, giving us $x+x+10+2x-16 = (x+x+2x) + (10-16) = 4x-6$.  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.

Answer 2

Answer:

1. The total score of all three players.

2. Mia's score.

3. 4x-6\

4. -6