Question

consider the following expression.
2v + 6u + 5 + 7u
select all of the true statements below.

• 2v is a term.
• 2v is a factor.
• 5 is a constant.
• 6u and 7u are like terms.
• 2v is a coefficient.
• none of these are true.

Explanation:

• A term in an algebraic expression is a single number, variable, or the product of numbers and variables. So \(2v\) is a term (correct).
• A factor is a number or expression that divides another number or expression evenly. \(2v\) is not a factor here (incorrect).
• A constant is a number with a fixed value, so \(5\) is a constant (correct).
• Like terms have the same variable(s) raised to the same power. \(6u\) and \(7u\) have the same variable \(u\), so they are like terms (correct).
• A coefficient is a number multiplied by a variable. \(2\) is the coefficient of \(v\) in \(2v\), not \(2v\) itself (incorrect).

Answer:

• \(2v\) is a term.
• \(5\) is a constant.
• \(6u\) and \(7u\) are like terms.