Question

Find the value of each: 4x+23, 10x-1, 78, 78

A) 4x+23: Variable expression; 10x-1: Variable expression; 78: Constant; 78: Constant
B) 4x+23: Variable expression; 10x-1: Variable expression; 78: Constant; 78: Constant
C) 4x+23: Variable expression; 10x-1: Variable expression; 78: Constant; 78: Constant
D) 4x+23: Variable expression; 10x-1: Variable expression; 78: Constant; 78: Constant

Answer 1

The expressions 4x+23 and 10x-1 are variable expressions because they contain the variable x, whose value can change. The number 78 is a constant because it does not contain any variables and thus has a fixed value.

Step-by-step explanation:

The student's question appears to be asking how to categorize each of the provided expressions. To answer this, we need to determine if each expression is a variable expression or a constant.

• 4x+23: This is a variable expression because it contains a variable, x, which means its value can change depending on the value of x.
• 10x-1: Similarly, this is also a variable expression as it includes the variable x.
• 78: This is a constant because it does not contain any variables and its value is fixed.
• 78: As with the previous 78, this is also a constant for the same reason—it does not contain variables.

Therefore, the correct answer is:

4x+23: Variable expression; 10x-1: Variable expression; 78: Constant; 78: Constant

All of the options A, B, C, and D given by the student are identical and correct.