Add and subtract expressions with letters

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Tala finds a puzzle in the mailbox, folded in three. How would Tala write (3x − 4) − (x − 6) with as few terms as possible?

   2x + 2
2. 2.

   Zee tips a cap and starts the puzzle. How would Zee write (-2x + 7) − (x + 3) with as few terms as possible?

   -3x + 4
3. 3.

   Bo solves a puzzle in the sun. Bo must subtract (2x − 3) from (7x + 1). What is the result, with as few terms as possible?

   5x + 4
4. 4.

   Jun reads a puzzle painted on a castle wall. Jun must subtract (3x − 2) from (-x + 8). What is the result, with as few terms as possible?

   -4x + 10
5. 5.

   Luz solves a puzzle on the bus, bumps and all. Which expression is equal to (7x − 2) − (3x + 5)?

   • 10x + 3
   • 4x − 7
   • 4x + 3
   • -3x
6. 6.

   Milo finds a puzzle on top of the piano. Which expression is equal to (-3x + 6) − (x − 2)?

   • -4x + 8
   • 4x
   • -4x + 4
   • -2x + 4
7. 7.

   Each star scores x points; each puddle costs 1 point. Round 1: 5 stars, 3 puddles. Round 2: 3 stars, 4 puddles. What is Noah's total, with as few terms as possible?

   8x − 7
8. 8.

   Each star scores x points; each puddle costs 1 point. Round 1: 6 stars, 2 puddles. Round 2: 3 stars, 4 puddles. What is Pia's total, with as few terms as possible?

   9x − 6
9. 9.

   Each star scores x points; each puddle costs 1 point. Round 1: 4 stars, 5 puddles. Round 2: 2 stars, 3 puddles. What is Ren's total, with as few terms as possible?

   6x − 8
10. 10.

    A yarn is 8x − 3 cm long. Ari cuts off 5x + 2 cm for a bracelet. How long is the yarn left, with as few terms as possible?

    3x − 5