Question

which of these are expressions? select all that apply.
2 + 4 = 6
4 = 6 - 2
(2 · 4) - 6
6 - 4 = 2

Explanation:

Step1: Recall Definition of Expression

An expression is a combination of numbers, variables, and operations (like +, -, ×, ÷) without an equality sign (=). An equation has an equality sign.

Step2: Analyze Each Option

• \(2 + 4 = 6\): Has \(=\), so it's an equation, not an expression.
• \(4 = 6 - 2\): Has \(=\), so it's an equation, not an expression.
• \((2 \cdot 4) - 6\): Combines numbers and operations (multiplication, subtraction) without \(=\), so it's an expression.
• \(6 - 4 = 2\): Has \(=\), so it's an equation, not an expression.

Answer:

Only \((2 \cdot 4) - 6\) is an expression. So the correct one is \((2 \cdot 4) - 6\) (the third option in the given layout, the one with \((2 \cdot 4) - 6\)).