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Mixed-number one-step equations worksheets

Build ten one-step equations from any nonempty mix of integers, decimals and fractions. The selected number types are balanced across the sheet, and every answer and substitution check stays exact.

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First page of the mixed-number one-step equations worksheets printable worksheetOpen full-size sample (first page)

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Choose one or more number types. Solve all ten equations exactly and check each answer in the original equation.

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US Letter

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A4

Student worksheetWorksheet with answers
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Balance selected number types in one exact-answer sheet

Select integers, decimals, fractions or any combination. Ten questions are divided as evenly as possible across the selected types, with any extra question assigned in integer, decimal, fraction order, then the questions are shuffled reproducibly.

Every question asks for an exact answer. Decimal and fraction questions always show a noninteger input in their selected representation, and the key substitutes the exact result into the original equation.

Learning objective

What this activity builds

Choose the inverse operation for a one-step equation while switching accurately among integer, decimal and fraction notation.

Worked example

Solve x + 3/4 = 3/2.

x = 3/4.

Subtract 3/4 from both sides: x = 3/2 − 3/4 = 3/4. Substitution gives 3/4 + 3/4 = 3/2.

Teaching notes

Make the practice count

  • Ask learners to name the operation before calculating.
  • Keep fractions exact rather than converting recurring values to rounded decimals.
  • Treat a signed decimal or fraction as one quantity.
  • Use the original displayed representation when checking the result.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose any nonempty set of number types. Ten exact-answer questions are balanced across the selected types and shuffled by the worksheet seed.

Worksheet settings

Number types
Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Mixed-Number One-Step Equations · US Letter

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Math SheetNameScore/ 10TeacherDateMixed-Number One-Step EquationsSolve each equation. Check your exact answer by substitution.1.4=d-52.8.2=n-0.53.-1112=x-234.w+4=10.15.-16=f-66.-14.3=y-7.17.57x=18.7m=359.r+8=1910.g+25=11115math-sheet.comPage 1 / 1

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