Grade 8 Distributive Property Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 8 Distributive Property Practice
Solve each problem. Show your work.
- 1.Expand: 8(8x + 2)
- 2.Expand: 6(2x + 5)
- 3.Expand: 3(8x + 9)
- 4.Expand: 2(7x - 10)
- 5.Expand: 3(2x - 4)
- 6.Expand: 7(3x - 1)
- 7.Expand: 7(6x + 4)
- 8.Expand: 2(2x - 3)
Show answer key
- Question 1: 64x + 16
- Question 2: 12x + 30
- Question 3: 24x + 27
- Question 4: 14x - 20
- Question 5: 6x - 12
- Question 6: 21x - 7
- Question 7: 42x + 28
- Question 8: 4x - 6
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About These Worksheets
Grade 8 students use distribution while simplifying and solving equations that include brackets and integer coefficients.
Distributive property worksheets help students understand how multiplication interacts with addition inside brackets. In arithmetic, 4(20 + 3) becomes 4 x 20 plus 4 x 3; in algebra, 4(x + 3) becomes 4x + 12. Seeing the same structure in both settings helps students trust that the algebra rule is not arbitrary.
These worksheets include expanding expressions, simplifying after distributing, and recognizing common errors such as multiplying only the first term inside the brackets. Students practise with positive and negative coefficients, because signs become the main challenge once the basic pattern is understood. The distributive property is a gateway skill for solving equations with brackets, factoring, expanding binomials, and working with linear and quadratic expressions in high school. Students who master it early have a much smoother transition into Grade 9 algebra.
Skills Practised
- Multiplying each term inside brackets by the outside factor
- Expanding algebraic expressions using distribution
- Handling negative coefficients and signs
- Combining like terms after distributing
- Connecting area models to algebraic expansion
Parent Tip: Watch for the common 'first term only' mistake. Have your child draw arrows from the outside number to every term inside the brackets before simplifying.