Question

which of the following are equations?
check all that are true.

• $14/2 = y$
• $t + d = m$
• $6(3^5)$
• $5 = x$
• $3y$

Explanation:

Step1: Recall the definition of an equation

An equation is a mathematical statement that shows the equality of two expressions, typically containing an equal sign ($=$).

Step2: Analyze each option

• For $\boldsymbol{14/2 = y}$: It has an equal sign and shows that the expression $14/2$ is equal to $y$. So, it is an equation.
• For $\boldsymbol{t + d = m}$: It has an equal sign and shows that the sum of $t$ and $d$ is equal to $m$. So, it is an equation.
• For $\boldsymbol{6(3^{5})}$: This is just a mathematical expression, there is no equal sign to show equality between two expressions. So, it is not an equation.
• For $\boldsymbol{5 = x}$: It has an equal sign and shows that the number $5$ is equal to $x$. So, it is an equation.
• For $\boldsymbol{3y}$: This is just a mathematical expression, there is no equal sign to show equality between two expressions. So, it is not an equation.

Answer:

• $\boldsymbol{14/2 = y}$
• $\boldsymbol{t + d = m}$
• $\boldsymbol{5 = x}$