Equivalent expressions and what each form tells you

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Not to scale. Pia earns a star for every neat puzzle. Which expression is equal to all 2 bars together?

   • 2(3x + 4)
   • 24x
   • 14x
   • 6x + 4
2. 2.

   Each of Ren's 9 boxes holds x pencils and 4 erasers. Which expression counts the pencils and the erasers separately, for all the boxes?

   • 45x
   • 9(x + 4)
   • 9x + 36
   • 9x + 4
3. 3.

   Each of Tala's 4 boxes holds x pencils and 3 erasers. Which expression for all the boxes shows what one box holds?

   • 4(x + 3)
   • 4x + 12
   • 4x + 3
   • 16x
4. 4.

   Each of Zee's 5 boxes holds x pencils and 3 erasers. Which expression counts the pencils and the erasers separately, for all the boxes?

   • 5x + 3
   • 5(x + 3)
   • 5x + 15
   • 20x
5. 5.

   Each of Ari's 2 boxes holds x pencils and 6 erasers. Which expression for all the boxes shows what one box holds?

   • 2x + 6
   • 14x
   • 2x + 12
   • 2(x + 6)
6. 6.

   Bo wears a crown for the puzzle of the day. Bo writes 7x + 42 = 7(x + ?). What number replaces the question mark so the sides are equivalent?

   6
7. 7.

   Esme unwraps a gift with a puzzle card inside. Esme writes 5x + 20 = 5(x + ?). What number replaces the question mark so the sides are equivalent?

   4
8. 8.

   Jun finds a puzzle in the mailbox, folded in three. Jun writes 6x + 42 = 6(x + ?). What number replaces the question mark so the sides are equivalent?

   7
9. 9.

   It rains, so Luz does the puzzle under an umbrella. Luz writes 7(x + 8) = 7x + ?. What number replaces the question mark so the sides are equivalent?

   56
10. 10.

    Milo solves a puzzle in the sun. Milo writes 8(x + 9) = 8x + ?. What number replaces the question mark so the sides are equivalent?

    72