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.

   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
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.

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

   Kira mixes paint. Mix A holds x/2 + 3/4 liters and mix B holds x/4 + 1/2 liters. How many liters in all, with as few terms as possible?

   3x/4 + 5/4
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