Understanding the Expression
In the expression "3 times p subtracted from 2 times q," we are dealing with a mathematical operation involving two variables: p and q. Let's break it down step by step.
Identifying the Terms
- 2 times q: This means we multiply the value of q by 2. Mathematically, it can be written as 2q.
- 3 times p: This indicates we multiply the value of p by 3. This can be represented as 3p.
Performing the Subtraction
Now that we have identified the two terms, we can perform the subtraction. The phrase "subtracted from" is crucial here. It indicates that we take the value of 3p away from the value of 2q.
- The expression can be represented as: 2q - 3p.
Putting It All Together
- The complete expression "3 times p subtracted from 2 times q" results in 2q - 3p.
Interpreting the Expression
- This expression tells us how much more or less 2 times q is compared to 3 times p.
Example for Clarity
- If p = 2 and q = 5:
- Calculate: 2q = 2 * 5 = 10
- Calculate: 3p = 3 * 2 = 6
- Now subtract: 2q - 3p = 10 - 6 = 4
This means that 2 times q is 4 units greater than 3 times p when p is 2 and q is 5.
Understanding these concepts helps build a strong foundation in algebra, which is essential for future math studies!