Sure, let's solve the problem step-by-step.
1. Understanding the Problem Statement:
- Mia's score: Let's denote this by [tex]\( x \)[/tex].
- Erick's score: Erick scored 10 more than Mia, so his score is [tex]\( x + 10 \)[/tex].
- Isabelle's score: Isabelle scored 16 less than twice Mia's score, so her score is [tex]\( 2x - 16 \)[/tex].
2. Combining the Scores:
To find the total score of Erick, Mia, and Isabelle together, we add all the individual scores:
[tex]\[
\text{Total score} = x + (x + 10) + (2x - 16)
\][/tex]
3. Simplifying the Expression:
To simplify the total score expression, we combine like terms:
[tex]\[
x + x + 10 + 2x - 16 = 4x - 6
\][/tex]
4. Analyzing the Simplified Expression:
The simplified expression [tex]\(4x - 6\)[/tex] represents the total score of Erick, Mia, and Isabelle combined.
Now, let's address each of the specific statements:
1. What does the expression [tex]\(x + x + 10 + 2x - 16\)[/tex] represent from the given scenario?
This expression represents the sum of the golf scores of Mia, Erick, and Isabelle.
2. What does the variable in the expression represent?
The variable [tex]\(x\)[/tex] in the expression represents Mia's score.
3. What is the expression in simplified form?
The simplified form of the expression is [tex]\(4x - 6\)[/tex].
4. What is the constant in the simplified expression?
The constant term in the simplified expression [tex]\(4x - 6\)[/tex] is [tex]\(-6\)[/tex].
So, the completed statements are:
- The expression [tex]\(x + x + 10 + 2x - 16\)[/tex] represents the sum of the golf scores of Mia, Erick, and Isabelle.
- The variable [tex]\(x\)[/tex] represents Mia's score.
- The simplified form of the expression is [tex]\(4x - 6\)[/tex].
- The constant in the simplified expression is [tex]\(-6\)[/tex].
