Which expressions show the points Roopesh earns if 2 beanbags land on the board? Choose ALL that apply.
Understand the Problem
The question is asking about the total score Roopesh earns based on the points awarded for beanbags landing on the board and in the hole, with specific focus on finding correct expressions using algebraic notation for his score if 2 beanbags land on the board.
Answer
The correct expressions are: $2 \times 2$ and $2 + 2$.
Answer for screen readers
The correct expressions are: $$ 2 \times 2 \text{ and } 2 + 2. $$
Steps to Solve
- Determine Points per Beanbag on the Board
Roopesh earns 2 points for each beanbag that lands on the game board.
- Calculate Total Points for 2 Beanbags on the Board
If 2 beanbags land on the board, the total points can be expressed as: $$ 2 \times 2 $$
- Identify Alternative Expressions
Now, let's consider the possible expressions provided in the options:
- Expression $2 + 2$ simply sums the points for two beanbags on the board: $2 + 2 = 4$.
- Expression $2 \times 5$ does not apply because it represents points for beanbags landing in the hole (5 points each).
- Expression $2 + 5$ also does not apply for the scenario since it mixes points for an incorrect situation (2 points for the board and 5 for a beanbag in the hole).
- Conclusion on Applicable Expressions
The expressions that correctly show the points for 2 beanbags only landing on the board are:
- $2 \times 2$
- $2 + 2$
The correct expressions are: $$ 2 \times 2 \text{ and } 2 + 2. $$
More Information
This question helps reinforce understanding of basic algebraic expressions, focusing on how to translate word problems into mathematical equations. Knowing the scoring mechanics of the game (2 points for each beanbag on the board) is crucial in forming the correct expressions.
Tips
- Mixing points earned for different types of throws (board vs. hole).
- Not recognizing the multiplication operation can represent repeated addition.
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