Expand and factor expressions

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   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
2. 2.

   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
3. 3.

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

   7(2x − 3)
4. 4.

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

   -2(2x − 5)
5. 5.

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

   -3(x + 4)
6. 6.

   Pia finds a puzzle taped to the door. How would Pia write 1.5x + 2.5 with 0.5 taken out, using parentheses?

   0.5(3x + 5)
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.

   In each level, Esme wins x points from stars and loses 4 points to puddles. After 5 levels, what is the total, with no parentheses?

   5x − 20
10. 10.

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

    6(2x − 3)