Question

four more than twice a number x.

1. identify the terms, coefficients, and constants in this expression:

7y - 3 + 4y

Explanation:

Step1: Simplify the expression

First, combine like terms in the expression \(7y - 3 + 4y\). Like terms are terms with the same variable (or no variable for constants). So, combine \(7y\) and \(4y\):
\(7y + 4y - 3=(7 + 4)y - 3 = 11y - 3\)

Step2: Identify terms

In an algebraic expression, terms are separated by addition or subtraction signs. In the simplified expression \(11y - 3\) (or the original \(7y - 3 + 4y\)), the terms are \(7y\), \(-3\), and \(4y\) (or \(11y\) and \(-3\) after combining like terms). But when identifying terms in the original expression, we consider each part separated by operations: \(7y\), \(-3\), \(4y\).

Step3: Identify coefficients

A coefficient is the numerical factor of a term with a variable. For the term \(7y\), the coefficient is \(7\); for the term \(4y\), the coefficient is \(4\) (and for the combined term \(11y\), the coefficient is \(11\)).

Step4: Identify constants

A constant is a term without a variable. In the expression, the constant term is \(-3\) (since it has no variable attached to it).

Answer:

• Terms: \(7y\), \(-3\), \(4y\) (or \(11y\), \(-3\) after combining like terms)
• Coefficients: \(7\), \(4\) (or \(11\) after combining like terms)
• Constant: \(-3\)