Algebraic expressions
Distributive property worksheets
Print 10 distributive property expressions. Choose grouped three- or four-term forms, signed factors and coefficient ranges, with worked answers.
Preview and downloadEquations practice
Multi-step integer equations worksheets
Choose from eleven equation structures for ten questions with integer operands. Practice like terms, grouped expressions and variables on either side, with exact worked solutions and separately rounded answers.
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Start with a ready-made worksheet
Choose at least one structure. Distribute and collect terms before isolating the variable. Keep exact fractions for checks, then report answers to the nearest hundredth. With all eleven selected, one structure is omitted per ten-question sheet.
Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.
Customize this worksheetRead 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 group choices retain their displayed order. Every question has one exact solution; integer inputs can produce fractional or zero answers.
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
Original student worksheetOriginal worksheet with answersOriginal A4 edition
Original student worksheetOriginal worksheet with answersQuestions about multi-step integer practice
How are the eleven structures different?
Choose repeated variable terms, two constants, separated like terms, groups on either side, constant-first groups, an outside constant with a group, or distribution with variables on both sides. Some choices reverse the equality orientation so learners practice reading the original relationship in that order.
Can all eleven appear on one worksheet?
Each worksheet has ten questions. With one to ten structures selected, every selected structure appears and their question counts differ by at most one. With all eleven selected, exactly one is omitted on that sheet. A new seed can omit a different structure.
Can integer inputs have a fractional answer?
Yes. For 3x = 5, the exact root is 5/3. Keep that fraction for checking the equation and separately report its nearest-hundredth approximation, 1.67.
How are halfway answers rounded?
Nearest-hundredth answers use ties away from zero: 0.325 becomes 0.33 and −0.325 becomes −0.33. Keys retain exact roots and show two decimal places in the rounded report, including integers and zero.
How do earlier settings links and downloads work?
The original downloads remain available below. Earlier settings links keep their original questions when common settings or New problems change. Choosing a different structure selection switches to the current edition. Reset settings opens the current edition with all eleven structures selected.
Learning objective
What this activity builds
Read an equation in its supplied order, simplify each side and isolate the unknown through equivalent transformations.
Worked example
Solve 3(2x − 1) = 12 − x.
x = 15/7; to the nearest hundredth, 2.14.
Distribute to obtain 6x − 3 = 12 − x. Add x to both sides, then add 3: 7x = 15. Divide by 7. Substituting 15/7 into the original equation makes both sides equal to 69/7.
Teaching notes
Make the practice count
- Read which side contains a group before expanding it.
- Multiply every term in a group by its outside factor.
- Keep a term and its sign together while collecting like terms.
- Perform the same operation on both sides even when the variable begins on the right.
- Use the exact fraction for substitution and round the reported answer only at the end.
Make it yours
Customize the practice
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.
Enlarged pages scroll. PDF size stays the same.
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