Let's analyze the given expression, $6y + 4 + 8x$, and address the parts a through d.

Part a: Identify the terms in the expression

The terms in the expression $6y + 4 + 8x$ are separated by addition or subtraction operators.

• The terms are 6y, 4, and 8x.

Part b: Identify the coefficients in the expression

Coefficients are the numerical factors that multiply the variables.

• The coefficient of y in the term 6y is 6.
• The coefficient of x in the term 8x is 8.
• The constant term 4 has no variable, so it doesn't have a coefficient.

Part c: Identify the constant in the expression

A constant is a term without a variable.

• The constant in the expression is 4.

Part d: How many terms are in the expression?

The expression $6y + 4 + 8x$ consists of three terms.

• There are three terms in this expression: 6y, 4, and 8x.

Would you like further explanation or examples, or do you have any questions?

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Here are five related questions to further your understanding:

1. What would happen to the expression if you combined like terms (if there were any)?
2. How would the expression change if the constant term was negative?
3. Can you identify the degree of the polynomial represented by the expression?
4. How would you evaluate the expression for specific values of $x$ and $y$?
5. How would the expression change if you factored out the greatest common factor?

Tip: Always ensure that terms with the same variable and exponent are combined in algebraic expressions to simplify them properly.