When figuring out coefficients and constants in linear equations, students often make some common mistakes. Here are some important points to help you avoid them:

1. Getting Coefficients and Constants Mixed Up:

   • Remember, coefficients are the numbers that are multiplied by variables.
   • Constants are just plain numbers that stand alone.
   • For example, in the equation $3x + 5 = 12$, the number $3$ is the coefficient of $x$, and $5$ is a constant.

2. Not Paying Attention to Negative Signs:

   • Watch out for negative coefficients or constants!
   • In the equation $-2y + 4 = 0$, the $-2$ is the coefficient of $y$, and $4$ is a constant.

3. Forgetting to Simplify:

   • Sometimes, students forget to simplify their equations.
   • For example, in $2(x + 3) = 14$, if you simplify it to $2x + 6$, the coefficient stays $2$, while $6$ becomes the constant.

By keeping these points in mind, students can get better at solving linear equations!