Equivalent Expressions: the Distributive Property and Like Terms Worksheet with Answer Key

What's on the worksheet

1. Write each expression without parentheses.
   3(n + 8)5(4p + 1)2(3a + 5b)9(w - 2)4(x^2 + 3x + 2)
2. Factor each expression fully using the greatest common factor.
   12k + 2027 + 45m8r + 830a + 42b6x + 15y + 24
3. Write each expression with as few terms as possible.
   p + 6 + p + p2a + 3b + 4a + b7 + 3k^2 + 2k + k^2 + 13(2y + 1) + 5y + 42(m + 4) + 3(m + 1)
4. Fill in each blank so both sides are equal for every value of the letter.
5. Word problem: compare two ways of writing the items in 6 pencil cases.
6. Pick which expressions are equivalent to 12x + 18 and which is factored fully.
7. Word problem: write the library's new books in boxes and loose books as an expression.
8. Test Mei's claim that (n + 3) squared equals n squared plus 9.