Equivalent expressions and what each form tells you

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   In each level, Pia wins x points from stars and loses 3 points to puddles. There are 4 levels. Which expression for all the levels shows the points from one level?

   • 4(x − 3)
   • -8x
   • 4x − 3
   • 4x − 12
2. 2.

   In each level, Ren wins x points from stars and loses 2 points to puddles. There are 5 levels. Which expression counts the points from stars and the points lost separately, for all the levels?

   • 5x − 10
   • 5x − 2
   • 5(x − 2)
   • -5x
3. 3.

   In each level, Tala wins x points from stars and loses 4 points to puddles. There are 6 levels. Which expression for all the levels shows the points from one level?

   • 6x − 4
   • 6x − 24
   • 6(x − 4)
   • -18x
4. 4.

   Each of Bo's 3 buckets holds x shells and 5 pebbles, so the total is 3x + 15. What does the 15 stand for?

   • the pebbles in one bucket
   • the pebbles in all 3 buckets
   • the number of buckets
   • the shells in all 3 buckets
5. 5.

   Each level gives Esme x points and costs 5 points to puddles. After 4 levels the total is 4(x − 5). What does (x − 5) stand for?

   • the points from all 4 levels
   • the number of levels
   • the points lost in one level
   • the points from one level
6. 6.

   Jun turns on a lamp for the late puzzle. Jun writes -2x − 10 = -2(x + ?). What number replaces the question mark so the sides are equivalent?

   5
7. 7.

   Kira reads a puzzle painted on a castle wall. Kira writes 2.5x + 10 = 2.5(x + ?). What number replaces the question mark so the sides are equivalent?

   4
8. 8.

   Noah finds a puzzle on top of the piano. Noah writes 5(x − 4) = 5x − ?. What number replaces the question mark so the sides are equivalent?

   20
9. 9.

   Pia ties a puzzle card to a kite. Pia writes 1.5(x + 6) = 1.5x + ?. What number replaces the question mark so the sides are equivalent?

   9
10. 10.

    Tala finds a puzzle under the plate. Tala writes 3.5(x + 2) = 3.5x + ?. What number replaces the question mark so the sides are equivalent?

    7