Question

Determine if the given expressions are equivalent

Answer 1

in order from top row to bottom row

1. NOT EQUIVALENT
2. EQUIVALENT
3. EQUIVALENT
4. NOT EQUIVALENT
   

Explanation:

• 4(2a + 7) = 4 (2a) + 4(7) = 8a + 28
  NOT EQUIVALENT
  
• 7y + 2y + y = (7 + 2 + 1)y = 10y
  EQUIVALENT
  
• 8m = 4m + 4m = 8m since -4m and + 4m cancel out
  EQUIVALENT
  
• 9e + 2(e + 5) = 9e + 2(e) + 2(5)
  = 9e + 2e + 10 = 11e + 10
  NOT EQUIVALENT