Samira ran 3 more miles than twice the number of miles Ada ran.

Which statement makes this comparison using the correct variable expression?

Responses

If Ada ran m miles, then Samira ran 2m + 3 miles.

If Ada ran m miles, then Samira ran 2m + 3 miles. - not selected, this is the correct answer

If Ada ran m miles, then Samira ran 3m + 2 miles.

If Ada ran m miles, then Samira ran 3m + 2 miles. - incorrect

If Ada ran m miles, then Samira ran 2(3)+m  
 miles.

If Ada ran m miles, then Samira ran 2 ( 3 ) + m ⁢     miles. - no response given

If Ada ran m miles, then Samira ran m2+3
 miles.

The correct statement is:

**If Ada ran m miles, then Samira ran 2m + 3 miles.**

This matches the given problem: "Samira ran 3 more miles than twice the number of miles Ada ran." The expression `2m + 3` correctly represents "twice the number of miles Ada ran" (`2m`) plus an additional 3 miles.

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you write the expression if Samira ran 5 more miles than three times the number of miles Ada ran?
2. If Samira ran 11 miles and Ada ran 4 miles, does the expression `2m + 3` hold true?
3. Can you simplify the expression `2(m + 1) + 1`? What does it represent in this context?
4. If Ada ran `m` miles, how would you express the number of miles Samira ran if she ran 4 less than twice Ada's distance?
5. What would the expression be if Samira ran exactly the same number of miles as twice the number Ada ran?

**Tip:** When translating word problems into algebraic expressions, always identify key phrases like "more than," "twice," or "less than" to guide the structure of the expression.

Learn how to solve problems involving miles run by using algebraic equations. This problem illustrates how to express relationships between distances traveled by different individuals in mathematical terms. Suitable for Grades 7-9 students learning algebraic concepts.

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