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Multi-step decimal equations worksheets

Choose from eleven equation structures for ten questions with signed half-step decimal operands. Practice like terms, grouped expressions and variables on either side, with exact worked solutions and separately rounded answers.

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Choose at least one structure. Distribute and collect terms carefully, keeping exact values for checks before reporting the answer to the nearest hundredth. With all eleven selected, one structure is omitted per ten-question sheet.

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US Letter

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A4

Student worksheetWorksheet with answers
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Paper sizes and printing help · More equations activities

Read eleven structures in their original order

Choose structures that combine variable terms, collect constants, distribute groups or put variables on both sides. Reversed equality and constant-first groups retain their displayed order. Signed operands use whole-number or half-step decimal values, and every question has one exact solution.

There are ten questions. With up to ten structures selected, every selected structure appears. When all eleven are selected, exactly one is omitted, and the omission varies with the seed. Carry exact values through solving and substitution before reporting a rounded decimal.

Keep the original printable edition available

These earlier worksheets practice the original set of multi-step structures. The current downloads above use the eleven-structure edition. Earlier settings links retain the original edition until the structure selection changes or you choose Reset settings.

Original US Letter edition

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Original A4 edition

Original student worksheetOriginal worksheet with answers

Learning objective

What this activity builds

Read a decimal equation in its supplied order, simplify each side and isolate the unknown through equivalent transformations.

Worked example

Solve 1.5(2x − 0.4) + 0.3x = 4.2.

x = 16/11; to the nearest hundredth, 1.45.

Distribution gives 3x − 0.6 + 0.3x = 4.2. Combine terms to get 3.3x − 0.6 = 4.2. Add 0.6, then divide by 3.3: x = 4.8/3.3 = 16/11.

Teaching notes

Make the practice count

  • Read which side contains a group before expanding it.
  • Write each product from distribution before combining terms.
  • Keep each decimal term and its sign together.
  • Accept an exact fraction when the quotient does not terminate.
  • Use the rounded answer for reporting and the exact value for verification.

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

Choose at least one structure for ten questions. With up to ten selected, every structure appears. When all eleven are selected, one is omitted from each sheet; the omission changes with the seed. Earlier settings links keep their original edition through paper, note, language and New problems changes. Changing the selected structures uses the current edition. Reset settings selects the current eleven-structure edition with all options checked.

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Configured PDF · Multi-Step Decimal Equations · US Letter

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Math SheetNameScore/ 10TeacherDateMulti-Step Decimal EquationsSolve exactly, then round the final value to the nearest hundredth.1.-2.5-6(1-9g)=19.52.3.5m-20.5+18=-1.53.-7.5n-8.5n=5.54.-20.5+5f=-6(-2.5f+5.5)5.3.5p-26-8p=-2.56.7(-23+2d)=-11.57.21.5=5(2s+16)8.-8.5(-2.5n+8.5)=-27.5-5.5n9.28.5=-21.5-7.5(x-29.5)10.-30.5=-3q+6.5qmath-sheet.comPage 1 / 1

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