Equivalent expressions and what each form tells you

Grade 7 Math Worksheet

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

  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)
    • 4x − 12
    • 4x − 3
    • -8x
  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 − 2
    • 5x − 10
    • 5(x − 2)
    • -5x
  3. 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 number of buckets
    • the shells in all 3 buckets
    • the pebbles in all 3 buckets
  4. 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 number of levels
    • the points from all 4 levels
    • the points lost in one level
    • the points from one level
  5. 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?

  6. Luz reads a puzzle by flashlight in a tent. Luz writes -3x + 12 = -3(x + ?). What number replaces the question mark so the sides are equivalent?

  7. Milo solves a puzzle on the bus, bumps and all. Milo writes 3.5x + 14 = 3.5(x + ?). What number replaces the question mark so the sides are equivalent?

  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?

  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?

  10. Ren gets a puzzle from a toy rocket. Ren writes -3(x + 2) = -3x + ?. What number replaces the question mark so the sides are equivalent?

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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. 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)
    • 4x − 12
    • 4x − 3
    • -8x
  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 − 2
    • 5x − 10
    • 5(x − 2)
    • -5x
  3. 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 number of buckets
    • the shells in all 3 buckets
    • the pebbles in all 3 buckets
  4. 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 number of levels
    • the points from all 4 levels
    • the points lost in one level
    • the points from one level
  5. 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
  6. Luz reads a puzzle by flashlight in a tent. Luz writes -3x + 12 = -3(x + ?). What number replaces the question mark so the sides are equivalent?

    -4
  7. Milo solves a puzzle on the bus, bumps and all. Milo writes 3.5x + 14 = 3.5(x + ?). What number replaces the question mark so the sides are equivalent?

    4
  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. 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. Ren gets a puzzle from a toy rocket. Ren writes -3(x + 2) = -3x + ?. What number replaces the question mark so the sides are equivalent?

    -6