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. Tala reads 2/3 of a chapter each day. Let x be days and y be chapters. What equation gives y from x? What equation gives x from y?

  2. Ren bikes 12 miles each hour. Let u be minutes and d be miles. What equation gives d for any u?

  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 = h × h
    • d = 4h
    • d = h + 4
    • d = 4h + 2
  6. Bo reads at a steady pace. Which equation shows pages y as proportional to minutes x?

    • y = x + 3/2
    • y = x × x
    • y = 3x ÷ 2
    • y = 3x ÷ 2 + 1
  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. Luz's tub fills with 5/6 gallon in 3/4 minute. Let u be minutes and g be gallons. What equation gives g for any u?

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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. Tala reads 2/3 of a chapter each day. Let x be days and y be chapters. What equation gives y from x? What equation gives x from y?

    y = 2x ÷ 3, x = 3y ÷ 2
  2. Ren bikes 12 miles each hour. Let u be minutes and d be miles. What equation gives d for any u?

    d = u ÷ 5
  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 = h × h
    • d = 4h
    • d = h + 4
    • d = 4h + 2
  6. Bo reads at a steady pace. Which equation shows pages y as proportional to minutes x?

    • y = x + 3/2
    • y = x × x
    • y = 3x ÷ 2
    • y = 3x ÷ 2 + 1
  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. Luz's tub fills with 5/6 gallon in 3/4 minute. Let u be minutes and g be gallons. What equation gives g for any u?

    g = 10u ÷ 9