Expand and factor expressions

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Ren tips a cap and starts the puzzle. How would Ren write 3(x − 5) without parentheses, with as few terms as possible?

   3x − 15
2. 2.

   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
3. 3.

   Zee solves a puzzle in the sun. How would Zee write 2.5(2x + 4) without parentheses, with as few terms as possible?

   5x + 10
4. 4.

   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
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.

   Milo gets a puzzle from a toy rocket. How would Milo write -4x + 10 with -2 taken out, using parentheses?

   -2(2x − 5)
7. 7.

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

   -3(x + 4)
8. 8.

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

   • 70x
   • 10(2x + 50)
   • 5(4x + 10)
   • 10(2x + 5)
9. 9.

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

   • 12(2x + 36)
   • 6(4x + 6)
   • 12(2x + 3)
   • 60x
10. 10.

    In each level, Bo wins x points from stars and loses 3 points to puddles. After 4 levels, what is the total, with no parentheses?

    4x − 12