Math properties
Identifying math properties worksheets
Name the property shown by an explanation and example. Choose 10, 12 or 15 questions from arithmetic and equality properties, with a separate answer key.
Preview and downloadMath properties practice
Working with math properties worksheets
Four-choice questions about examples, non-examples, distribution and equality rules. Select the properties to practice and download a separate explained answer key.
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Read the question carefully, including words such as not. Choose the one correct answer from A, B, C and D.
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Choose the skills, and the question count follows
Most arithmetic properties contribute two questions, the distributive property contributes five, and each inverse or equality rule contributes one. Selecting all types produces 30 questions. Each has four choices and one correct answer for the question asked.
The practice includes choosing examples and non-examples, recognizing rules, expanding expressions, and deciding which operations preserve or change a nonzero number. The key explains the selected answer.
Learning objective
What this activity builds
Apply a property to choose a valid transformation or example, and distinguish it from a plausible but incorrect explanation.
Worked example
Which expression is equivalent to 6(x + 3)?
6x + 18.
Distribute 6 to both terms: 6 × x + 6 × 3. The expression 6x + 3 multiplies only the first term, while 6(x × 3) changes the addition inside the parentheses.
Teaching notes
Make the practice count
- Begin with order and grouping before selecting every property.
- Ask for a reason after the learner chooses a letter.
- Use the distribution-only setting to compare several ways the same law appears.
- When working with a reciprocal or dividing both sides of an equation, state that the divisor cannot be zero.
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Customize the practice
Choose your options, update the preview, then download the exact same pages.
Each selected property contributes its full teaching set. Selecting every property creates 30 four-choice questions with one semantic answer each.
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Math properties
Math properties reference sheet
A printable guide to arithmetic and equality properties, with definitions, equations, equivalent names and the nonzero conditions needed for reciprocals and division.
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Order of operations
Algebraic order of operations worksheets
Simplify twelve expressions containing x, with configurable signs, grouping and powers. Practice combining like terms and simplifying products and quotients without substituting a number for x.
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