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Question 1 (2 points)

Shelly and Terrence completed [tex]\( x \)[/tex] tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's points in the game:

[tex]\[ 90x - 20 \][/tex]

What does the first term of the expression represent?

A. The total points Shelly earned

B. The number of tasks Terrence completed

C. The sum of Shelly's and Terrence's total points

D. The number of tasks Shelly completed

Sagot :

GinnyAnsweridn
To determine what the first term of the expression [tex]\(90x - 20\)[/tex] represents, let's analyze the given information step-by-step:

1. We know that Shelly and Terrence completed [tex]\(x\)[/tex] tasks in a game.
2. Terrence's total points are represented by the expression [tex]\(90x - 20\)[/tex].
3. Additionally, it is mentioned that Terrence's total points were 20 less than Shelly's total points.

Given that Terrence's points are 20 less than Shelly's, we can express Shelly's points mathematically as follows:
[tex]\[ \text{Shelly's points} = \text{Terrence's points} + 20 \][/tex]

Substitute Terrence's points ([tex]\(90x - 20\)[/tex]) into the equation:
[tex]\[ \text{Shelly's points} = (90x - 20) + 20 \][/tex]

Simplify the equation:
[tex]\[ \text{Shelly's points} = 90x - 20 + 20 \][/tex]
[tex]\[ \text{Shelly's points} = 90x \][/tex]

Thus, we find that Shelly's total points are expressed by the term [tex]\(90x\)[/tex].

Therefore, the first term of the expression ([tex]\(90x\)[/tex]) represents the total points Shelly earned.

So, the correct answer is:
a) The total points Shelly earned
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