Expand and factor expressions

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   It rains, so Tala does the puzzle under an umbrella. How would Tala write 4(2x − 7) without parentheses, with as few terms as possible?

   8x − 28
2. 2.

   Esme reads a puzzle by flashlight in a tent. How would Esme write -3(2x + 5) without parentheses, with as few terms as possible?

   -6x − 15
3. 3.

   Jun solves a puzzle on the bus, bumps and all. How would Jun write -4(x − 2) without parentheses, with as few terms as possible?

   -4x + 8
4. 4.

   Kira finds a puzzle on top of the piano. How would Kira write -5(3x − 4) without parentheses, with as few terms as possible?

   -15x + 20
5. 5.

   Luz ties a puzzle card to a kite. How would Luz write 14x − 21 with 7 taken out, using parentheses?

   7(2x − 3)
6. 6.

   Noah finds a puzzle under the plate. How would Noah write -3x − 12 with -3 taken out, using parentheses?

   -3(x + 4)
7. 7.

   Tala finds a riddle card tucked in a lunchbox. Which shows 24x + 36 with its greatest common factor taken out?

   • 60x
   • 12(2x + 36)
   • 12(2x + 3)
   • 6(4x + 6)
8. 8.

   The team's score is 12x − 18 points. How would Jun write the score as 6 equal shares, using parentheses?

   6(2x − 3)
9. 9.

   The team's score is 10x − 15 points. How would Kira write the score as 5 equal shares, using parentheses?

   5(2x − 3)
10. 10.

    The team's score is 12x − 8 points. How would Luz write the score as 4 equal shares, using parentheses?

    4(3x − 2)