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Algebraic Sense
Lesson 21
Evaluation and Solving
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 1:

Chip Silicon is writing a computer program for basketball data. To find the points scored in a game, he must include each free throw, which is 1 point, each regular shot, which is 2 points, and each long shot, which is 3 points. Chip uses the following symbols in his program:

  • * stands for multiplication in a computer
  • F stands for the number of free throws made.
  • R stands for the number of regular shots made.
  • L stands for the number of long shots made.
  • T stands for the total score a team has in a game.

Which of these shows how to find a team's total score in a game?

  1. T = F + (R * 2) + (L * 3)
  2. T = F * (R + 2) * (L + 3)
  3. T = (F + R + L) * (1 + 2 + 3)
  4. T = (1 + F) * (2 + R) * (3 + L)

The answer to this problem is letter A. Let's see how you are able to arrive at that answer.

You are asked to find the total number of points scored with 3 different ways of scoring. The first way to score is by a free throw. A free throw is worth 1 point. If F stands for the number of free throws made, you would need to multiply the number of free throws made by 1. Remember the multiplication property of one where any number times 1 is the same number? Good, that means that we could write this part of the equation as F * 1 or just F because F * 1 = F.

Next, you can go to finding out the number of points for regular shots made. R stands for regular shots made and if each regular shot made is worth 2 points, you would follow the same pattern from above. R being the number of shots made times 2 points for each will give us the number of points from shooting regular shots. Therefore, you have R * 2 where R is the number of shots made and the 2 for the points given if it is made.

Lastly, the long shots are represented with L. If a player makes L long shots and each one is worth 3 points, you write this part of the equation as L * 3.

Since T is the total number of points, let's put the entire equation together.

T = F + (R * 2) + (L * 3)

Notice that this is given as a possible answer, letter A. Excellent! Your answer is letter A.

Example 2 >>

 

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