Grade 10 Expanding Binomials Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 Expanding Binomials Practice
Solve each problem. Show your work.
- 1.Expand: (x - 2)(x - 4)
- 2.Expand: (x + 5)(x - 6)
- 3.Expand: (x - 2)(x - 0)
- 4.Expand: (x + 8)(x - 1)
- 5.Expand: (x + 7)(x - 2)
- 6.Expand: (x + 1)(x - 4)
- 7.Expand: (x + 4)(x - 0)
- 8.Expand: (x - 7)(x - 4)
Show answer key
- Question 1: x^2 - 6x + 8
- Question 2: x^2 - 1x - 30
- Question 3: x^2 - 2x
- Question 4: x^2 + 7x - 8
- Question 5: x^2 + 5x - 14
- Question 6: x^2 - 3x - 4
- Question 7: x^2 + 4x
- Question 8: x^2 - 11x + 28
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About These Worksheets
Grade 10 students expand binomials as a foundation for factoring, graphing, and working between quadratic forms.
Expanding binomials worksheets help Grade 10 students multiply expressions such as (x + 3)(x + 5) and understand why the result is a quadratic trinomial. Students move beyond memorized FOIL language toward the distributive property applied twice, which makes the process more reliable when signs, coefficients, or variables change.
These worksheets include simple binomials, negative terms, leading coefficients, and special products such as perfect squares and difference of squares. Students practise writing every product term, combining like terms, and checking whether the middle term makes sense. Expanding binomials is not just an isolated algebra drill; it prepares students to factor quadratics, convert between forms, model area problems, and understand how a parabola's equation is built from multiplied linear factors.
Skills Practised
- Multiplying two binomials using distribution
- Combining like terms after expansion
- Handling negative signs in quadratic products
- Recognizing perfect square and difference-of-squares patterns
- Connecting expanded form to area models
Parent Tip: This is tough to verify without doing the algebra yourself. Use the answer key for the final trinomial, then have your teen show the four products or upload a photo for step checking.