Determine the numerical value of the triangle:
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Determine the numerical value of the triangle:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We initially have the equation .
Step 2: Subtract 8 from both sides to find :
This calculation gives us:
Therefore, the numerical value of the triangle is .
Add fifty units to the number 31.
What is the resulting number?
You need to undo what's being done to the triangle. Since 8 is being added to △, you subtract 8 from both sides to cancel it out and isolate △.
Think: "What's the opposite?" If you see addition (+), use subtraction (-). If you see subtraction (-), use addition (+). Always do the opposite to both sides!
Yes, but it's slower! You could try different numbers until 8 + ? = 68, but algebraic solving is faster and more reliable, especially for harder problems.
Same process! For , you still subtract 8 from both sides: , so .
Substitute your answer back into the original equation. Replace △ with 60: does 8 + 60 = 68? Yes! If both sides equal the same number, you're right.
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