Multiplying by a Monomial

Multiplying by a monomial

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On this page you can practice multiplying a monomial by a binomial. You will see an expression like 7x·(4x + 1) and your task is to expand it (28x² + 7x). This exercise is designed for 8th-grade students and helps understand the distributive law.

How the exercise generator works

To solve the exercise, simply:

  • look at the monomial and the expression in the brackets,
  • multiply each term in the brackets by the monomial,
  • write the result in expanded form,
  • verify the correctness with the "Check" button.

After solving, you can immediately generate the next exercise and continue practicing.

Who is this exercise for

This exercise is ideal for 8th-grade students learning the distributive law and polynomial multiplication. Useful for preparing for algebra tests.

Grade/Age Level

This exercise is taught in different countries in the following grades:

  • Slovakia: 9th Grade
  • Czech Republic: 9th Grade
  • Germany: 8th Grade (Klasse 8)
  • USA: 8th Grade
  • United Kingdom: 8th Grade (Year 8)
  • Spain: 3rd Year ESO