Add and subtract expressions with letters

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Bo ties a puzzle card to a kite. How would Bo write (x/2 + 3) + (x/4 − 1) with as few terms as possible?

   3x/4 + 2
2. 2.

   Esme gets a puzzle from a toy rocket. How would Esme write (2x/3 − 1) + (x/6 + 4) with as few terms as possible?

   5x/6 + 3
3. 3.

   Kira finds a puzzle under the plate. How would Kira write (2.5x + 4) − (0.5x − 3) with as few terms as possible?

   2x + 7
4. 4.

   Luz finds a puzzle taped to the door. How would Luz write (3x/4 − 1) − (x/2 + 2) with as few terms as possible?

   x/4 − 3
5. 5.

   Ren sharpens a pencil down to a stub for this puzzle. Ren must subtract (2x/5 − 1) from (7x/5 + 3). What is the result, with as few terms as possible?

   x + 4
6. 6.

   Ari has one minute on the clock, and it ticks loudly. What is (x/2 + 1) + (3x/2 − 5) − (x + 3), with as few terms as possible?

   x − 7
7. 7.

   Bo digs a puzzle card out of a backpack. Which expression is equal to (x/2 − 1) + (x/3 + 2)?

   • 5x/6 + 3
   • 5x/6 + 1
   • 2x/5 + 1
   • 11x/6
8. 8.

   Esme writes the puzzle in blue pen, very boldly. Which expression is equal to (0.4x − 3) + (0.6x − 2)?

   • x + 5
   • -4x
   • x − 5
   • x − 3
9. 9.

   A yarn is 3.5x + 4.5 cm long. Milo cuts off 1.5x − 2 cm for a bracelet. How long is the yarn left, with as few terms as possible?

   2x + 6.5
10. 10.

    A yarn is 2.5x − 1.5 cm long. Noah cuts off 0.5x + 3 cm for a bracelet. How long is the yarn left, with as few terms as possible?

    2x − 4.5