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.

   Jun carries the puzzle home in a backpack. How would Jun write (3x/4 + 1/2) + (x/2 − 3/4) with as few terms as possible?

   5x/4 − 1/4
2. 2.

   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
3. 3.

   Milo finds a riddle card tucked in a lunchbox. How would Milo write (1.2x − 3.5) − (2.2x − 1) with as few terms as possible?

   -x − 2.5
4. 4.

   Pia puts on glasses to read very tiny print. Pia must subtract (0.5x + 2) from (3.5x − 1.5). What is the result, with as few terms as possible?

   3x − 3.5
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.

   Zee spots a puzzle at the back of a book. What is (4x − 3) + (-2x + 5) − (x + 6), with as few terms as possible?

   x − 4
7. 7.

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

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

   Jun finds a puzzle hiding on the classroom calendar. Which expression is equal to (3x/4 + 1) − (x/4 − 5)?

   • x/2 + 6
   • x − 4
   • 13x/2
   • x/2 − 4
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