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7th grade Write y = kx for a steady rate worksheet

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Write y = kx for a steady rate

Grade 7 Math Worksheet

NameDate

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

  1. Read this first

    Use the table

    hourscups
    23
    46
    69
  2. Ren's faucet drips into a bowl, one plink at a time. The table shows hours and cups. Let h be hours and c be cups. What equation gives c for any h?

  3. Jun's old printer hums along at a steady rate. The table shows minutes and pages. Let x be minutes and y be pages. What equation gives y for any x?

  4. Esme mixes orange punch for the class party. The table shows cups of juice and cups of water. Let x be juice and y be water. What equation gives y for any x?

  5. Ari reads 3/4 of a chapter in 3 days at a steady pace. Let x be days and y be chapters. What equation gives y for any x?

  6. Noah bikes at a steady speed. The equation is d = 12h, where h is hours and d is miles. How many miles after 3/4 hour?

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

  8. Pia bakes with the rule c = 3f ÷ 4, where f is cups of flour and c is cups of sugar. Which story fits the rule?

    • 3/4 cup of flour for each cup of sugar
    • 4/3 cups of sugar for each cup of flour
    • Add 3/4 to the cups of flour to get the cups of sugar
    • 3/4 cup of sugar for each cup of flour
  9. Ari's bike trip follows d = 9h, where h is hours and d is miles. Which story fits the rule?

    • 1/9 mile for each hour
    • Add 9 to the hours to get the miles
    • 9 miles for each hour
    • 9 hours for each mile
  10. Bo reads by the rule y = x ÷ 5, where x is minutes and y is chapters. Which story fits the rule?

    • 1/5 chapter for each minute
    • 1/5 minute for each chapter
    • Add 1/5 to the minutes to get the chapters
    • 5 chapters for each minute
  11. Esme's circle follows g = 5u ÷ 2, where u is minutes and g is gallons. Which story fits the rule?

    • 2/5 gallon for each minute
    • 5/2 gallons for each minute
    • 5/2 minutes for each gallon
    • Add 5/2 to the minutes to get the gallons
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7th grade Write y = kx for a steady rate worksheet – printable
Print: 123456

About this worksheet

Write y = kx for a steady rate. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write an equation like d = 12h from a story, a table or one pair of numbers: find the amount for 1, then multiply the first letter by it.
  • I can use the equation to find the second amount, and go backwards to find the first.
  • I can tell a proportional equation (d = 4h) from ones that add a number (d = h + 4, d = 4h + 2).

Standard: 7.RP.A.2c

Words to know

equation: A rule with an equals sign, like d = 12h, that works for every row.

the rate (k): The amount of the second thing for exactly 1 of the first. It multiplies the first letter.

the 1 row: The table row whose first number is 1. Its second number is the rate.

the other way round: The rule backwards: h = d ÷ 12 undoes d = 12h.

proportional rule: A rule that is rate × letter, with nothing added. 0 goes with 0.

Common mistakes

Your child turned the rate upside down.

Your child put the letters the wrong way round.

Your child wrote an equation that adds the same number each time.

What to say

Ask: how many of the second thing go with exactly 1 of the first? That number multiplies the first letter.

Ask: which letter is the thing we want to find? It sits alone on the left.

Ask: if the first amount doubles, does the second double too? A steady rate multiplies.

Questions parents ask

What is the most common mistake with write y = kx for a steady rate?

Your child turned the rate upside down.

How can I help my child with write y = kx for a steady rate?

Ask: how many of the second thing go with exactly 1 of the first? That number multiplies the first letter.

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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