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.

   Noah opens an envelope that holds one tiny puzzle. Noah must subtract (x/3 − 1) from (5x/3 + 2). What is the result, with as few terms as possible?

   4x/3 + 3
6. 6.

   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
7. 7.

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

   • -4x
   • x − 3
   • x + 5
   • x − 5
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/2 − 4
   • x − 4
   • 13x/2
9. 9.

   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
10. 10.

    Luz mixes paint. Mix A holds 2x/3 + 1/2 liters and mix B holds x/6 + 3/4 liters. How many liters in all, with as few terms as possible?

    5x/6 + 5/4