A basketball player scores points in games and needs at least 120 points to qualify for the next level. If she already has scored 85 points, at least how many points does she need to score in the next games

Question

to qualify, assuming she will play
more games?

find the solution and the inequality

Answer 1

To find out how many more points the basketball player needs to score in order to qualify for the next level, we need to set up an inequality based on the information given.

Let \( x \) be the number of additional points she needs to score.

According to the problem:

• She has already scored 85 points.
• She needs at least 120 points to qualify.

The inequality representing this situation can be set up as follows:

\[ 85 + x \geq 120 \]

Now, we can solve the inequality for \( x \):

1. Subtract 85 from both sides:

\[ x \geq 120 - 85 \]

2. Simplify the right side:

\[ x \geq 35 \]

Thus, the basketball player needs to score at least \( \boxed{35} \) more points in her upcoming games to qualify for the next level. The inequality representing this is:

\[ 85 + x \geq 120 \]