Problem 222 - Prealgebra

Question

Test Scores Sara needs 350 points to pass her course. She scored 75, 50, 70, and 80 on her first four tests. How many more points does Sara need to pass the course?

Step-by-Step Solution

Answer

Sara needs 75 more points.

Step 1: Calculate the Total Points So Far

First, add up the scores from the four tests. This gives you the total number of points Sara has accumulated so far. Sum up 75, 50, 70, and 80.

Step 2: Sum the Test Scores

Perform the addition: 75 + 50 + 70 + 80 = 275. Therefore, Sara has scored 275 points so far.

Step 3: Determine the Required Points

Sara needs a total of 350 points to pass. Subtract the total points she has so far (275) from the required points (350).

Step 4: Calculate the Difference

The calculation is: 350 - 275 = 75. Therefore, Sara needs 75 more points to pass the course.

Key Concepts

addition and subtraction

Addition and subtraction are fundamental arithmetic operations. These operations are crucial for solving problems like Sara's test scores. Adding numbers combines their values to get a total sum. For instance, when we add Sara's test scores of 75, 50, 70, and 80, we perform the following calculation: \[75 + 50 + 70 + 80 = 275\] This gives us the total points Sara scored in her four tests. Subtraction, on the other hand, helps in finding the difference between two numbers. After knowing Sara has 275 points so far and needs 350 to pass, we subtract her current total from the required points: \[350 - 275 = 75\]. This tells us how many more points Sara needs to reach her goal.

test scores

Test scores represent the points a student earns in an exam. These scores are essential in evaluating a student's performance. For Sara, each test she took had a specific score: 75, 50, 70, and 80. Adding these scores helped us find her cumulative total: \[75 + 50 + 70 + 80 = 275\]. These numbers tell us how Sara has performed over multiple tests. Understanding the sum of these scores highlights her progress and helps in future planning for reaching the target points.

passing criteria

Passing criteria set a benchmark to determine whether a student has succeeded in a course. In Sara's case, she needs a minimum of 350 points to pass. To find out if she is meeting this criteria, we calculated her total points from four tests, which was 275. Next, by subtracting the points she has from the required points: \[350 - 275 = 75\] we found Sara needs 75 more points to pass her course. This sets a clear goal for how many points she must score in any future tests or assignments to meet the passing criteria.