Podcast
Questions and Answers
What is the equation formed when we take variables to the left-hand side?
What is the equation formed when we take variables to the left-hand side?
The equation is $2x + 4 = x + 9$.
What was the number thought by Ajay?
What was the number thought by Ajay?
The number thought by Ajay was $5$.
What was the common result which Ajay and Arun both got?
What was the common result which Ajay and Arun both got?
The common result was $14$.
What is the significance of setting the results from Ajay and Arun equal to each other?
What is the significance of setting the results from Ajay and Arun equal to each other?
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How does Ajay's operation on his number differ from Arun's?
How does Ajay's operation on his number differ from Arun's?
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Study Notes
Number Game Variables
- Ajay doubled the number
xand added 4, resulting in the expression2x + 4. - Arun added 9 to the number
x, resulting in the expressionx + 9. - The results of Ajay and Arun are the same, leading to the equation
2x + 4 = x + 9.
Solving for x
- To get variables only on the left-hand side (LHS), we subtract
xfrom both sides of the equation:2x + 4 - x = x + 9 - x. - Simplifying the equation, we get
x + 4 = 9. - Subtracting 4 from both sides gives us
x = 5.
Determining the Number and Result
- The number Ajay thought of is
5. - Both Ajay and Arun reached the same result of
14(2(5) + 4 = 14or5 + 9 = 14).
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Description
This quiz tests your understanding of solving linear equations involving variables. You will explore how to manipulate expressions and find the value of unknown variables through a series of problems based on Ajay and Arun's number game. Prepare to strengthen your algebra skills!
