The grades on your first two exams totaled 174 points. The grade on the second exam was 8 points higher than the first. What grades did you get on both exams?
Answers
Let 1st exam grade be x
then second exam grade = x + 8
According to question.......
x + x + 8 = 174
2x + 8 = 174
2x = 174 - 8
2x = 166
x = 166/2
x = 83
hence
1st exam grade = 83
2nd exam grade = 83 + 8 = 91
Answer:
1st exam grade = 83
2nd exam grade = 91
Step-by-step explanation:
So from reading the information we know that one of the exams was 8 points higher than the other; in this case, the second test had a higher score. The equation to solve for x would look as follows:
2x + 8 = 174
so now we take away those 8 points.
2x + 8 = 174
- 8 - 8
The 8 on the left of the equation gets canceled out.
Our new equation would leave us with a lower score on the right because what you do to one side of the equation has to be done to the opposite side, too.
2x = 166
__ ___
2 2
we now divide both sides and solve for x.
x = 83
Are we done? Not quite. we solved for x which is part a, so now we have to add the 8 points from the original equation to find the exact score of the second test.
x = 83; x =83 + 8 = 91
The first exam had 83 points while the second exam had 91 points (8 points higher)
Now to check our math, we add these two numbers together.
83
+ 91
_____
174
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