Grade 7 · Math

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 - Challenge Me

NameDate

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

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

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

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

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.

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.

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.

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.

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