Question

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

• $y - 34 = 6$
• $5^2$
• $x = 1$
• $3y - y = 3$
• $x - 2$

Explanation:

Step1: Recall the definition of an equation

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

Step2: Analyze each option

• For $y - 34 = 6$: It has an equal sign and shows the equality of the expression $y - 34$ and $6$, so it is an equation.
• For $5^2$: It is just a numerical expression (a power), with no equal sign, so it is not an equation.
• For $x = 1$: It has an equal sign and shows the equality of $x$ and $1$, so it is an equation.
• For $3y - y = 3$: It has an equal sign and shows the equality of the expression $3y - y$ and $3$, so it is an equation.
• For $x - 2$: It is an algebraic expression, with no equal sign, so it is not an equation.

Answer:

• $\boldsymbol{y - 34 = 6}$ (this is an equation)
• $\boldsymbol{x = 1}$ (this is an equation)
• $\boldsymbol{3y - y = 3}$ (this is an equation)