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.

   Pia wears a crown for the puzzle of the day. How would Pia write (5x + 2) + (-3x − 6) with as few terms as possible?

   2x − 4
3. 3.

   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
4. 4.

   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
5. 5.

   Kira reads a puzzle by flashlight in a tent. Which expression is equal to (5x + 4) − (2x − 3)?

   • 7x + 1
   • 10x
   • 3x + 1
   • 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
   • -3x
   • 4x − 7
   • 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 + 8
   • 4x
   • -4x + 4
8. 8.

   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
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 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