Accepted Solution
Understanding how to solve multi-step algebraic problems is an essential math skill. A common type of problem involves figuring out a number when divided by a certain value gives a known quotient. This can be solved by setting the problem up as an equation. Let's take the problem: "What number (we'll use x to represent this) divided by 68 equals 2?". The steps and the equations are described below:
\[ \frac{x}{68} = 2 \]Our main goal is to find the value of x. So, we need to isolate x on one side of the equation. This can be achieved by multiplying both sides of the equation by 68:
\[ x = 2 \times 68 \]After performing this operation, we find that:
\[ x = 136 \]This indicates that 136 divided by 68 equals 2. We can ascertain our solution's validity by substituting x in our original equation:
\[ \frac{136}{68} = 2 \]As this equation holds true, we are confident that the answer is correct.
For practice, anyone can try solving these similar algebraic problems: