Which expressions show the points Roopesh earns if 2 beanbags land on the board? Choose ALL that apply. Which expressions show the points Roopesh earns if 2 beanbags land in the ho... Which expressions show the points Roopesh earns if 2 beanbags land on the board? Choose ALL that apply. Which expressions show the points Roopesh earns if 2 beanbags land in the hole? Choose ALL that apply.
Understand the Problem
The question is asking which mathematical expressions show the points earned by Roopesh in a beanbag toss game, given specific points for beanbags landing on the board and in the hole.
Answer
The expressions are $2 \times 2$, $2 + 2$ for the board, and $5 + 5$, $5 \times 2$ for the hole.
Answer for screen readers
The valid expressions for points earned by Roopesh are:
- For 2 beanbags on the board: $2 \times 2$, $2 + 2$.
- For 2 beanbags in the hole: $5 + 5$, $5 \times 2$.
Steps to Solve
-
Determine the points for each scenario Roopesh earns 2 points for each beanbag that lands on the board and 5 points for each beanbag that lands in the hole.
-
Points calculation for beanbags on the board If 2 beanbags land on the board, the total points are calculated as follows: $$ \text{Total points} = \text{Number of beanbags} \times \text{Points per beanbag} $$ So, for 2 beanbags on the board: $$ \text{Total points} = 2 \times 2 = 4 $$
-
Verify expressions that represent points on the board From the options, we check the expressions:
- $2 \times 2$ represents 4 points.
- $2 + 2$ also represents 4 points.
Thus, both expressions are valid.
-
Points calculation for beanbags in the hole If 2 beanbags land in the hole, the total points are calculated as follows: $$ \text{Total points} = \text{Number of beanbags} \times \text{Points per beanbag} $$ So, for 2 beanbags in the hole: $$ \text{Total points} = 2 \times 5 = 10 $$
-
Verify expressions that represent points in the hole From the options, we check the expressions:
- $2 + 5$ does not represent points for 2 beanbags in the hole (incorrect).
- $5 + 5$ represents 10 points (correct).
- $5 \times 5$ represents 25 points (incorrect).
- $5 \times 2$ represents 10 points (correct).
Thus, $5 + 5$ and $5 \times 2$ are valid representations.
The valid expressions for points earned by Roopesh are:
- For 2 beanbags on the board: $2 \times 2$, $2 + 2$.
- For 2 beanbags in the hole: $5 + 5$, $5 \times 2$.
More Information
These expressions help understand how to calculate total scores based on different placements of beanbags. The point per beanbag for each placement is crucial in determining the total score.
Tips
- Confusing the points for beanbags on the board with those in the hole. Always remember the different point values for each scenario.
- Using addition when multiplication is needed or vice versa. Ensure you identify the right operation based on the context.
AI-generated content may contain errors. Please verify critical information
