6
QuizMultiple Choice

Solving Two-Step Equations — Quiz

Question 6 • Grade 7 Mathematics

Florian ran 1 point 2 miles and walked 4 point 8 laps around the path at the park for a total distance of 3 point 6 miles. Which shows the correct equation and value of x , the distance of 1 lap around the path at the park?

Answer
A
3 point 6 x plus 1 point 2 is equal to 4 point 8 ; x is equal to 1 mile
B
3 point 6 x plus 1 point 2 is equal to 4 point 8 ; x is equal to 0 point 5 mile
C
4 point 8 x plus 1 point 2 is equal to 3 point 6 ; x is equal to 1 mile
D
4 point 8 x plus 1 point 2 is equal to 3 point 6 ; x is equal to 0 point 5 mile

Explanation

The 4.8 laps contribute 4.8x miles, and Florian also ran 1.2 miles, so the total-distance equation is 4.8x + 1.2 = 3.6. Subtract 1.2 to get 4.8x = 2.4, then divide by 4.8 to find x = 0.5 mile, which matches choice D.

AI-written and checked against the verified answer.

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