Question

You earn ( 6 x + 15 ) points after completing xx levels of a video game and lose ( 3 x −7) points. Write an expression that represents the total number of points you have now.

Answer 1

To find the total number of points after completing xx levels in a video game, combine the points earned (6x + 15) with the points lost (3x −7) by subtraction to get the expression 3x + 22.

Step-by-step explanation:

To write an expression that represents the total number of points you have after completing xx levels in a video game, where you earn (6x + 15) points and lose (3x −7) points, you need to perform subtraction to account for the loss from the points gained. We subtract the expression for points lost from the expression for points gained: (6x + 15) − (3x −7). This combines the terms based on their degree.

Let's simplify the expression step by step:

1. First, write down the expressions for earning and losing points: (6x + 15) and (3x −7) respectively.
2. Since you lose points, you have to subtract the losing expression from the earning expression: (6x + 15) − (3x −7).
3. Next, distribute the negative sign through the second expression: (6x + 15) − 3x + 7.
4. Now combine like terms: 6x − 3x gives 3x, and 15 + 7 gives 22.
5. The final expression is 3x + 22, which represents the total points you have.