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Select all of the expressions that are equal to 8 x 35

8 x ( 30 + 5 )

5 + 3 x 35

( 8 x 30 ) + ( 8 x 5 )

( 8 + 30 ) + ( 8 x 5 )

( 8 + 30 ) x ( 8 + 5)

(8 + 30 ) + ( 8 + 5 )

8 x ( 20 + 15 )

1 answer

To determine which expressions are equal to \( 8 \times 35 \), we need to simplify each expression and check if it equals \( 8 \times 35 \) or 280.

  1. \( 8 \times (30 + 5) \): \[ 8 \times (30 + 5) = 8 \times 35 = 280 \]

  2. \( 5 + 3 \times 35 \): \[ 5 + 3 \times 35 = 5 + 105 = 110 \quad (\text{not equal to } 280) \]

  3. \( (8 \times 30) + (8 \times 5) \): \[ (8 \times 30) + (8 \times 5) = 240 + 40 = 280 \]

  4. \( (8 + 30) + (8 \times 5) \): \[ (8 + 30) + (8 \times 5) = 38 + 40 = 78 \quad (\text{not equal to } 280) \]

  5. \( (8 + 30) \times (8 + 5) \): \[ (8 + 30) \times (8 + 5) = 38 \times 13 = 494 \quad (\text{not equal to } 280) \]

  6. \( (8 + 30) + (8 + 5) \): \[ (8 + 30) + (8 + 5) = 38 + 13 = 51 \quad (\text{not equal to } 280) \]

  7. \( 8 \times (20 + 15) \): \[ 8 \times (20 + 15) = 8 \times 35 = 280 \]

Thus, the expressions that are equal to \( 8 \times 35 \) (or 280) are:

  • \( 8 \times (30 + 5) \)
  • \( (8 \times 30) + (8 \times 5) \)
  • \( 8 \times (20 + 15) \)