



 
Hi Maddie, I'm going to look at some different expressions. First of all consider 5x + y  7. The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y  7, 5 is a coefficient. It is the coefficient in the term 5x. Also the term y can be thought of as 1y so 1 is also a coefficient. Like terms are terms that contain the same variable raised to the same power. In 5x + y  7 the terms are 5x, y and 7 which all have different variables (or no variables) so there are no like terms. Constants are terms without variables so 7 is a constant. Now let's try 5a + 2b  3a + 4. Here the coefficients are 5, 2 and 3. This time there are like terms, 5a and 3a and the constant is 4. Finally, what about 4st  5s + 3ts + 6? The coefficients are 4, 5 and 3 and the constant is 6. Since s times t is the same as t times s 4st and 3ts are like terms. So here is the table for my three examples.
I hope this helps,  


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