Point P on the number line shows Lara's score after the first round of a quiz:
A number line is shown from negative 8 to 0 to positive 8. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point P is shown on 3.
In round two, she lost 4 points. Which equation shows how many total points she has at the end of round two?
(5 points)
Group of answer choices
3 + 1 = −4, because −4 is 1 unit to the left of 3
3 + (−4) = −1, because −1 is 4 units to the left of 3
3 + 4 = −1, because −1 is 4 units to the left of 3
3 + (−1) = −4, because −4 is 1 unit to the left of 3
The correct equation is:
3 + (-4) = -1, because -1 is 4 units to the left of 3.
To find Lara's total score at the end of round two, we need to subtract the points she lost in round two from her score after the first round.
Lara's score after the first round is 3.
She lost 4 points in round two.
Therefore, the equation that shows how many total points she has at the end of round two is:
3 + (-4) = -1, because -1 is 4 units to the left of 3.
So, the correct answer is:
3 + (-4) = -1
To solve this problem, let's break it down step by step.
Step 1: Start with the initial score. Lara's initial score is given as 3.
Step 2: Determine the change in score. In round two, she lost 4 points. Since she lost points, we need to subtract 4 from her initial score.
Step 3: Calculate the total points at the end of round two. To do this, take her initial score and subtract the points lost. In other words, subtract 4 from 3.
Now let's evaluate each equation based on these steps:
1. 3 + 1 = -4: This equation adds 1 to Lara's initial score, which doesn't account for the points lost. Therefore, it is not the correct equation.
2. 3 + (-4) = -1: This equation correctly subtracts 4 from Lara's initial score. However, the result should be -1, not -4, because she lost 4 points. Therefore, this equation is incorrect.
3. 3 + 4 = -1: This equation adds instead of subtracting the points lost. So it doesn't accurately reflect the decrease in Lara's score. Therefore, this equation is incorrect.
4. 3 + (-1) = -4: This equation correctly subtracts 1 from Lara's initial score. However, the result should be -1, not -4, because she lost 4 points. So this equation is also incorrect.
Based on the analysis above, the correct equation is the second option: 3 + (-4) = -1, because -1 is 4 units to the left of 3 on the number line after subtracting 4 points from her initial score.