Question

the terms in the two expressions below have opposite signs. they are not equivalent expressions because -3x + 10 3x + -10. options: you can not substitute the same number for x in each expression; when you substitute a value for x in both expressions the value of the expressions are not the same; when you substitute a value for x in both expressions the value of the expressions are the same; you can not substitute 2 in for x

Explanation:

To determine why the expressions \(-3x + 10\) and \(3x + (-10)\) (which is \(3x - 10\)) are not equivalent, we analyze the options:

• Option 1: You can substitute the same number for \(x\) in each expression (e.g., \(x = 0\), \(x = 1\), etc.), so this is incorrect.
• Option 2: Let's test with \(x = 0\): \(-3(0)+10 = 10\) and \(3(0)-10=-10\). The values are different. For \(x = 1\): \(-3(1)+10 = 7\) and \(3(1)-10=-7\). The values are not the same, so this option is correct.
• Option 3: As shown in the tests, the values are not the same, so this is incorrect.
• Option 4: You can substitute 2: \(-3(2)+10 = 4\) and \(3(2)-10=-4\). So this is incorrect.

Answer:

when you substitute a value for x in both expressions the value of the expressions are not the same