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.

   Noah earns a star for every neat puzzle. How would Noah write (-2x + 5) + (3x − 1) with as few terms as possible?

   x + 4
2. 2.

   Ren unwraps a gift with a puzzle card inside. How would Ren write (6x + 3) − (2x − 4) with as few terms as possible?

   4x + 7
3. 3.

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

   -3x + 4
4. 4.

   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
5. 5.

   Esme turns on a lamp for the late puzzle. Esme must subtract (x + 5) from (4x − 2). What is the result, with as few terms as possible?

   3x − 7
6. 6.

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

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

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

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

   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
9. 9.

   A yarn is 9x − 2 cm long. Tala cuts off 4x − 5 cm for a bracelet. How long is the yarn left, with as few terms as possible?

   5x + 3
10. 10.

    A yarn is 7x + 6 cm long. Zee cuts off 3x − 4 cm for a bracelet. How long is the yarn left, with as few terms as possible?

    4x + 10