Use y = 3x to complete the table.
x1245y36___15
Equation to table · grades 6–7
Complete Tables from y = kx
Reverse the representation direction: students use a proportional equation to complete an equivalent-ratio table. The blank changes position while the exact equation remains visible.
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Complete Tables from y = kx
y = kx to table · Small whole numbers · Seed 261501
Use y = 3x to complete the table.
x1345y3912___
Use y = 6x to complete the table.
x1234y6___1824
Use y = 5x to complete the table.
x2345y1015___25
Use y = 5x to complete the table.
x1235y510___25
Use y = 6x to complete the table.
x1245y6___2430
Use y = 6x to complete the table.
x1345y61824___
Use y = 2x to complete the table.
x1235y24___10
Use y = 6x to complete the table.
x2345y1218___30
Use y = 2x to complete the table.
x1245y2___810
No fake precision: tables, graph points, equations, and double number lines come from the same exact whole-number constant of proportionality. Better Buy problems compare integer cents per item, so a winner is never chosen from a rounded display value.
Completing a table from y = kx
Multiply each x-value by k to get its matching y. The rows of the table are produced by the equation, so avoid adding k down the column unless the x-values also go up by exactly 1. When one y-value is blank, find the x beside it and compute k × x.
Worked examples
- y = 6x with x = 2, 3, 5 gives y = 12, 18, 30. The x-values step by 1 and then 2, so the y-values step by 6 and then 12.
- y = 4x with x = 3, 6, 9 and a blank beside x = 6: 4 × 6 = 24.
- Checking a blank: for y = 7x with x = 5 the blank is 35. Substitute back: 35 ÷ 5 = 7, which matches k.
Common slips
- Adding k to the previous y when x does not step by 1. For y = 4x, the row after x = 3 (y = 12) is not 16; at x = 6 the value is 24.
- Using the x from a different row. Read the x directly beside the blank.
- Dividing instead of multiplying. For y = 4x and x = 6, the answer is 6 × 4 = 24, not 6 ÷ 4.
How to use this worksheet
Ask students to write the substitution (k × x) beside each blank before the answer. The answer key includes the matching x-value, so a mismatch is easy to trace to the wrong row.
Common Core connection
- 7.RP.A.2.c · Represent proportional relationships with equations and connect each variable to its meaning.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Classroom note 1
Multiply each x-value by k to get its matching y-value.
Classroom note 2
The table rows are not a sequence to extend by adding; they are values generated by one rule.
Classroom note 3
Substitute the specific x that sits beside the blank; only add k repeatedly if the x-values also step by 1.
Classroom note 4
Use the completed row to connect the equation back to a unit rate.
Move among tables, equations, graphs, double number lines, and Better Buy decisions in one exact generator.
Return to ratio foundations →Practice simplified ratios, equivalent tables, unit rates, proportions, and percent proportions.
More skills in this set
Questions people ask
Where can the blank appear?
The focused generator places one missing y-value in a non-first table row so the student must apply the equation.
Why is the answer key not just a number?
It includes the matching x-value so the completed table relationship can be checked directly.
Which standard does this practice?
CCSS 7.RP.A.2c: use a proportional equation to generate matching values, here by completing an equivalent-ratio table.
How can a student check the value they filled in?
Substitute the x-value from that same row back into y = kx; the result should equal the value written in the blank.