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.

   Ari turns on a lamp for the late puzzle. How would Ari write 0.5(6x + 8) without parentheses, with as few terms as possible?

   3x + 4
3. 3.

   Bo reads a puzzle painted on a castle wall. How would Bo write -2(x + 3) without parentheses, with as few terms as possible?

   -2x − 6
4. 4.

   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
5. 5.

   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
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.

   Ren cuts a puzzle card out with scissors. Which shows 20x + 50 with its greatest common factor taken out?

   • 10(2x + 5)
   • 70x
   • 10(2x + 50)
   • 5(4x + 10)
8. 8.

   In each level, Ari wins x points from stars and loses 6 points to puddles. After 3 levels, what is the total, with no parentheses?

   3x − 18
9. 9.

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

   6(2x − 3)
10. 10.

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

    5(2x − 3)