Simplify expressions: distribute and combine like terms

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Ari takes away a whole bracket in 5x − (2x − 3). How would Ari write 5x − (2x − 3) with as few terms as possible?

   3x + 3
2. 2.

   Esme takes away a whole bracket in −2x − (4x − 5) + 6. How would Esme write −2x − (4x − 5) + 6 with as few terms as possible?

   -6x + 11
3. 3.

   Jun takes away a whole bracket in 9x − (5x + 2) − 7. How would Jun write 9x − (5x + 2) − 7 with as few terms as possible?

   4x - 9
4. 4.

   Milo spreads both brackets in 3(2x + 1) − 5(x − 2), then joins like terms. How would Milo write it with as few terms as possible?

   x + 13
5. 5.

   Pia's fraction card says 0.5(4x − 6) + 0.5x. How would Pia write it with as few terms as possible?

   2.5x - 3
6. 6.

   Ren's fraction card says (1/3)(6x + 9) − x. How would Ren write it with as few terms as possible?

   x + 3
7. 7.

   Tala's fraction card says 0.25(8x − 12) + 1.5x + 4. How would Tala write it with as few terms as possible?

   3.5x + 1
8. 8.

   Zee's fraction card says (2/3)(3x − 6) + x. How would Zee write it with as few terms as possible?

   3x - 4
9. 9.

   Ari checks a puzzle card: which expression is equal to 4(x − 2) − 2(x + 1)?

   • 2x − 6
   • 2x − 10
   • 6x − 10
   • 2x − 1
10. 10.

    Bo checks a puzzle card: which expression is equal to 3(x + 4) − (2x − 5)?

    • x − 1
    • x + 7
    • x + 17
    • 5x + 17