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Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Write y = kx for a steady rate

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use the table

    hoursmiles
    210
    315
    420
  2. Kira scoots at a steady speed. The table shows hours and miles. Let h be hours and d be miles. What number goes in the blank of d = × h?

  3. Ari packs apples into bags. The table shows bags and apples. Let x be bags and y be apples. What number goes in the blank of y = × x?

  4. Kira scoots 5 miles each hour. Let h be hours and d be miles. Which equation matches?

    • d = 5h
    • h = 5d
    • d = h + 5
  5. Bo's recipe uses 3 cups of flour for each batch. Let x be batches and y be cups of flour. Which equation matches?

    • x = 3y
    • y = x + 3
    • y = 3x
  6. Zee's hose fills 4 gallons each minute. Let u be minutes and g be gallons. Which equation matches?

    • g = u + 4
    • u = 4g
    • g = 4u
  7. Noah's faucet drips 2 cups each hour. Let h be hours and c be cups. What equation gives c for any h?

  8. Ren's printer prints 6 pages each minute. Let x be minutes and y be pages. What equation gives y for any x?

  9. Pia bikes 8 miles each hour. Let h be hours and d be miles. What equation gives d for any h?

  10. Use the table

    hoursmiles
    28
    312
    520
  11. Tala hikes at a steady pace. The table shows hours and miles. Let h be hours and d be miles. What equation gives d for any h?

  12. Zee's bean plant grows at a steady rate. The table shows weeks and inches. Let x be weeks and y be inches. What equation gives y for any x?

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