It has a fixed value that does not change.
A. equation
B. constant
C. variable
D. Algebraic Expression
The correct answer and explanation is:
The correct answer is B. constant.
A constant refers to a value that remains unchanged throughout a given problem or equation. Unlike variables, which can take on different values, constants are fixed. Constants are essential in mathematical expressions, as they provide a stable reference point, allowing for comparisons, calculations, and problem-solving.
In mathematics, constants are typically represented by numbers or symbols that do not alter. For example, in the equation y = 3x + 7, the number 7 is a constant because it does not change regardless of the value of x. Similarly, π (pi), which represents the ratio of a circle’s circumference to its diameter, is another well-known constant, approximately equal to 3.14159.
On the other hand, a variable is a symbol used to represent an unknown or changeable value. In the equation y = 3x + 7, x and y are variables because their values can vary depending on the context. The variable x can take on different values, and as a result, y will change accordingly.
An algebraic expression refers to a mathematical phrase that can contain numbers, variables, and operators (such as +, −, ×, ÷). An example of an algebraic expression is 3x + 7, which combines a variable (x) and a constant (7).
An equation is a statement that two expressions are equal. For example, 3x + 7 = 10 is an equation, where the two sides are equal when x = 1. The equation incorporates variables, constants, and operators to show the relationship between different quantities.