A store charges 16 dollars for every 2 notebooks. Let x = notebooks and y = dollars. Write the proportional equation y = kx.
k = ______ y = ______x
CCSS 7.RP.A.2b–c · verbal to equation
Write Proportional Equations from Verbal Descriptions
Move from a real situation to an equation instead of giving students a table first. Some prompts state the per-one rate directly; others give a scaled pair so students must find k before writing y = kx.
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Verbal Situations to y = kx
Verbal situation → y = kx · Grade 7 standard · Seed 261601
1.
2.
A printer produces 24 pages for every 3 minutes. Let x = minutes and y = pages. Write the proportional equation y = kx.
k = ______ y = ______x
3.
A store charges 14 dollars for every 2 notebooks. Let x = notebooks and y = dollars. Write the proportional equation y = kx.
k = ______ y = ______x
4.
A recipe uses 24 cups for every 4 batches. Let x = batches and y = cups. Write the proportional equation y = kx.
k = ______ y = ______x
5.
A store charges 6 dollars for every 1 notebooks. Let x = notebooks and y = dollars. Write the proportional equation y = kx.
k = ______ y = ______x
6.
A cyclist travels 12 miles for every 4 hours. Let x = hours and y = miles. Write the proportional equation y = kx.
k = ______ y = ______x
7.
A store charges 5 dollars for every 1 notebooks. Let x = notebooks and y = dollars. Write the proportional equation y = kx.
k = ______ y = ______x
8.
A printer produces 16 pages for every 2 minutes. Let x = minutes and y = pages. Write the proportional equation y = kx.
k = ______ y = ______x
9.
A cyclist travels 3 miles for every 1 hours. Let x = hours and y = miles. Write the proportional equation y = kx.
k = ______ y = ______x
10.
A printer produces 18 pages for every 3 minutes. Let x = minutes and y = pages. Write the proportional equation y = kx.
k = ______ y = ______x
Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.
Teaching note 1
Define what x and y mean before writing the equation.
Teaching note 2
If the prompt gives several units at once, divide y by x to find the per-one constant k.
Teaching note 3
Check the equation by substituting the quantities from the verbal description.
Continue the 7.RP progression
Move to another Grade 7 representation or application
More skills in this set
Frequently asked questions
Are all prompts price problems?
No. The set mixes distance, recipes, pay, purchases, and production-rate contexts.
Can a student solve by copying the visible rate?
Not always. Standard and challenge modes sometimes give a scaled pair, such as 24 miles in 3 hours, so k must be computed first.