Write y = kx for a steady rate

Grade 7 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. Ren bikes 12 miles each hour. Let h be hours and d be miles. What equation gives d from h? What equation gives h from d?

  2. Kira's circle fills 3/4 gallon each minute. Let u be minutes and g be gallons. What equation gives g from u? What equation gives u from g?

  3. Noah walks 3 miles each hour, with snack stops not counted. Let u be minutes and d be miles. What equation gives d for any u?

  4. Pia jogs 6 miles each hour around the track. Let u be minutes and d be miles. What equation gives d for any u?

  5. Esme hikes a trail. Which equation shows miles d as proportional to hours h?

    • d = 4h + 2
    • d = h × h
    • d = 4h
    • d = h + 4
  6. Zee's circle fills a bucket. Which equation shows gallons g as proportional to minutes u?

    • g = 5u + 3
    • g = 5u
    • g = u × u
    • g = u + 5
  7. Noah bikes by the rule d = 12h, where h is hours and d is miles. How many hours does it take to bike 30 miles?

  8. Milo's recipe follows c = 3f ÷ 4, where f is cups of flour and c is cups of sugar. How many cups of flour go with 15 cups of sugar?

  9. Jun's printer follows y = 5x ÷ 2, where x is minutes and y is pages. How many minutes does it take to print 20 pages?

  10. Ari bikes 5/2 miles in 1/4 hour at a steady speed. Let h be hours and d be miles. What equation gives d for any h?

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Write y = kx for a steady rate

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Ren bikes 12 miles each hour. Let h be hours and d be miles. What equation gives d from h? What equation gives h from d?

    d = 12h, h = d ÷ 12
  2. Kira's circle fills 3/4 gallon each minute. Let u be minutes and g be gallons. What equation gives g from u? What equation gives u from g?

    g = 3u ÷ 4, u = 4g ÷ 3
  3. Noah walks 3 miles each hour, with snack stops not counted. Let u be minutes and d be miles. What equation gives d for any u?

    d = u ÷ 20
  4. Pia jogs 6 miles each hour around the track. Let u be minutes and d be miles. What equation gives d for any u?

    d = u ÷ 10
  5. Esme hikes a trail. Which equation shows miles d as proportional to hours h?

    • d = 4h + 2
    • d = h × h
    • d = 4h
    • d = h + 4
  6. Zee's circle fills a bucket. Which equation shows gallons g as proportional to minutes u?

    • g = 5u + 3
    • g = 5u
    • g = u × u
    • g = u + 5
  7. Noah bikes by the rule d = 12h, where h is hours and d is miles. How many hours does it take to bike 30 miles?

    2 1/2
  8. Milo's recipe follows c = 3f ÷ 4, where f is cups of flour and c is cups of sugar. How many cups of flour go with 15 cups of sugar?

    20
  9. Jun's printer follows y = 5x ÷ 2, where x is minutes and y is pages. How many minutes does it take to print 20 pages?

    8
  10. Ari bikes 5/2 miles in 1/4 hour at a steady speed. Let h be hours and d be miles. What equation gives d for any h?

    d = 10h