Algebraic expressions practice
Print 10 distributive property expressions. Choose grouped three- or four-term forms, signed factors and coefficient ranges, with worked answers.
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Multiply the outer factor by each term inside the parentheses. Write the expansion before combining any like terms with the outside term.
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Select the addition, subtraction or grouped-multiplication forms available in the settings. The coefficient range controls magnitudes; positive and negative coefficients can appear. Each ten-question set includes the selected forms.
A separate answer key repeats each question and explains the transformation. Use the space on the student sheet for an expression, an expansion or substitution steps, rather than recording only a final answer.
Learning objective
Multiply every term inside a group by its outer factor and collect any resulting like terms.
Worked example
−6x + 15 + 4x = −2x + 15.
The factor −3 multiplies both 2x and −5. Their products are −6x and +15. Finally combine −6x + 4x into −2x; the constant remains 15.
Teaching notes
Start with the three-term grouped multiplication form and the 2–9 range. These problems contain an outside signed factor and a two-term group, so learners can focus on multiplying the factor by every term.
Move to the four-term form to add an outside constant or like variable term that must be combined after distributing. The 10–19 and 2–19 ranges increase the coefficient magnitudes without changing the algebraic steps.
Choose Three terms: grouped multiplication and the 2–9 range. Each problem has one factor outside a two-term group, with no extra term to combine afterward.
Multiply the negative factor by every term inside the parentheses, including each term’s sign. Write the full expansion first, then combine any like terms.
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Negative outside factors distribute to every term. The explained key shows expansion before collecting terms.
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