Question 29

2(x + 3) + 4 is an algebraic expression.

An algebraic expression is a combination of numbers, variables, and operations. The expression 2(x + 3) + 4 fits this definition as it includes coefficients, a variable, and arithmetic operations.

A) 2(x + 3) + 4

This option is correct as it represents an algebraic expression. It involves the variable \( x \), coefficients (2 and 4), and arithmetic operations (addition and multiplication), making it a valid algebraic expression.

B) 4 = x²

This option is incorrect because it is an equation rather than an algebraic expression. An equation states that two expressions are equal, which does not align with the definition of an algebraic expression that lacks an equality sign.

C) x = 3y + 7

This option is also incorrect as it is an equation. It shows that \( x \) is equal to another expression, which means it cannot be classified as an algebraic expression itself.

D) 4y^2 + 2y - 3

This option is incorrect in the context of the question since it is not the correct answer. However, it is important to note that this is indeed an algebraic expression as it consists of terms with variables, coefficients, and operations.

Conclusion

The correct answer, 2(x + 3) + 4, is definitively an algebraic expression due to its structure containing variables and operations without an equality sign. Options B and C are equations, and while option D is an algebraic expression, it does not answer the question as posed. Thus, A remains the only appropriate choice.