Question
A student solved the given equation and justified every step except one. What is the missing reason?
Answers
GPT 3.5
Without the specific equation or steps provided, it is difficult to determine the exact missing reason. However, some common justifications used when solving equations include the following:
1. Addition or Subtraction Property of Equality: "Adding (or Subtracting) the same value to both sides of the equation preserves equality."
2. Multiplication or Division Property of Equality: "Multiplying (or Dividing) both sides of the equation by the same value preserves equality."
3. Distributive Property: "Distributing a value across parentheses does not change the expression's value."
4. Combining Like Terms: "Combining or simplifying like terms reduces the equation to a simpler form."
5. Solving for the Unknown: "Performing algebraic manipulations to isolate the unknown variable on one side of the equation."
6. Reflexive Property: "Numbers are equal to themselves."
7. Transitive Property: "If a = b and b = c, then a = c."
Identifying a missing reason would require analyzing the given equation and the steps followed, comparing them to the list of common justifications.
1. Addition or Subtraction Property of Equality: "Adding (or Subtracting) the same value to both sides of the equation preserves equality."
2. Multiplication or Division Property of Equality: "Multiplying (or Dividing) both sides of the equation by the same value preserves equality."
3. Distributive Property: "Distributing a value across parentheses does not change the expression's value."
4. Combining Like Terms: "Combining or simplifying like terms reduces the equation to a simpler form."
5. Solving for the Unknown: "Performing algebraic manipulations to isolate the unknown variable on one side of the equation."
6. Reflexive Property: "Numbers are equal to themselves."
7. Transitive Property: "If a = b and b = c, then a = c."
Identifying a missing reason would require analyzing the given equation and the steps followed, comparing them to the list of common justifications.