Final answer:
In the expression 2x+4y+7+3y, 2x is a term, 4y and 3y are like terms, and 7 is a constant. However, 2x is not a coefficient, but '2' within it is the coefficient for the variable 'x'.
Step-by-step explanation:
True statements about the expression 2x+4y+7+3y are:
a) 2x is a term.c) 4y and 3y are like terms.d) 7 is a constant.
Regarding option b), 2x contains the term 2x where '2' is the coefficient and 'x' is the variable. A coefficient is the numerical factor of a term that contains a variable. Therefore, 2x itself is not a coefficient, but rather the term '2' within 2x is the coefficient.
Step-by-step explanation:
A term in an expression is a single mathematical entity that can be separated by plus or minus signs. Therefore, 2x is indeed a term. Like terms are terms that contain the same variables raised to the same power. In the expression given, 4y and 3y are like terms because they both contain the variable 'y' raised to the first power. A constant is a term without a variable, so in this expression, the number '7' is a constant.