Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all of the equations below that are equivalent to:\newline4=r+144 = r + 14\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 4+2=r+144 + 2 = r + 14\newline(B) 16=13+r+1416 = 13 + r + 14\newline(C) 4+5=r+194 + 5 = r + 19\newline(D) 4+4=r+184 + 4 = r + 18

Full solution

Q. Select all of the equations below that are equivalent to:\newline4=r+144 = r + 14\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 4+2=r+144 + 2 = r + 14\newline(B) 16=13+r+1416 = 13 + r + 14\newline(C) 4+5=r+194 + 5 = r + 19\newline(D) 4+4=r+184 + 4 = r + 18
  1. Identify Equation: Identify the original equation and understand that equivalent equations will have the same value for rr when solved.\newlineOriginal equation: 4=r+144 = r + 14
  2. Check Equation (A): Check equation (A) to see if it is equivalent to the original equation.\newlineEquation (A): 4+2=r+144 + 2 = r + 14\newlineSimplify the left side: 6=r+146 = r + 14\newlineThis is not equivalent to the original equation because when we subtract 1414 from both sides, we do not get 4=r4 = r.
  3. Check Equation (B): Check equation (B) to see if it is equivalent to the original equation.\newlineEquation (B): 16=13+r+1416 = 13 + r + 14\newlineCombine like terms on the right side: 16=r+2716 = r + 27\newlineThis is not equivalent to the original equation because when we subtract 2727 from both sides, we do not get 4=r4 = r.
  4. Check Equation (C): Check equation (C) to see if it is equivalent to the original equation.\newlineEquation (C): 4+5=r+194 + 5 = r + 19\newlineSimplify the left side: 9=r+199 = r + 19\newlineThis is not equivalent to the original equation because when we subtract 1919 from both sides, we do not get 4=r4 = r.
  5. Check Equation (D): Check equation (D) to see if it is equivalent to the original equation.\newlineEquation (D): 4+4=r+184 + 4 = r + 18\newlineSimplify the left side: 8=r+188 = r + 18\newlineThis is not equivalent to the original equation because when we subtract 1818 from both sides, we do not get 4=r4 = r.

More problems from Identify equivalent equations