Question

which of the following are equations? check all that are true. 4⁶ 1 k ÷ 9 = d a + 3 y + y = 4

Explanation:

To determine which are equations, we recall that an equation is a mathematical statement that shows the equality of two expressions, meaning it must contain an equal sign ($=$).

Step 1: Analyze \(4^6\)

This is just a numerical expression (a power), with no equal sign. So it is not an equation.

Step 2: Analyze \(1\)

This is a single number, no equal sign. Not an equation.

Step 3: Analyze \(k\div9 = d\)

This has an equal sign, showing that \(k\div9\) is equal to \(d\). So it is an equation.

Step 4: Analyze \(a + 3\)

This is an algebraic expression (a sum), with no equal sign. Not an equation.

Step 5: Analyze \(y + y=4\)

This has an equal sign, showing that \(y + y\) is equal to \(4\). So it is an equation.

Answer:

• \(k \div 9 = d\)
• \(y + y = 4\)