Algebra Class 10 Inequalities

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Questions and Answers

What is the total distance the student rode on Monday?

  • 15 miles
  • 5 miles
  • 10 miles
  • 8 miles (correct)

If the student rode $m$ miles each day from Tuesday to Friday, what is the total distance formula for the 5 days?

  • $8 + 5m$
  • $8 + 4m$ (correct)
  • $4 + m$
  • $5 + 8m$

Which inequality correctly represents the total distance the student rode being fewer than 30 miles?

  • $8 + 4m eq 30$
  • $8 + 4m < 30$ (correct)
  • $8 + 4m > 30$
  • $8 + 4m ext{ is approximately } 30$

What is the maximum possible value of $m$ when the total distance is fewer than 30 miles?

<p>$4$ (B)</p> Signup and view all the answers

If the maximum value for $m$ is $4$, how many miles did the student ride in total?

<p>$28$ miles (A)</p> Signup and view all the answers

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Study Notes

Problem Setup

  • The student rode a total of fewer than 30 miles in 5 days.
  • On Monday, the student rode 8 miles.
  • From Tuesday to Friday, the student rode m miles each day.

Inequality Representation

  • The total distance ridden from Tuesday to Friday is 4m.
  • The total distance ridden over all 5 days is 8 + 4m.
  • Since the total distance is less than 30 miles, the inequality representing the possible values of m is: 8 + 4m < 30.

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