Solve the Equation: Triangle Symbol + 25 = 30

Algebraic Equations with Symbol Variables

Determine the numerical value of the triangle:

+25=30 \triangle+25=30

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Determine the numerical value of the triangle:

+25=30 \triangle+25=30

2

Step-by-step solution

To solve this problem, we need to find the value represented by the triangle symbol in the equation +25=30 \triangle + 25 = 30 . This involves a straightforward algebraic process.

First, we want to isolate the triangle by removing the 25 that is added to it. To do this, we will subtract 25 from both sides of the equation:

  • +25=30 \triangle + 25 = 30
  • Subtract 25 from both sides: +2525=3025 \triangle + 25 - 25 = 30 - 25

Simplifying both sides, we have:

  • =3025 \triangle = 30 - 25
  • =5 \triangle = 5

Therefore, the value of the triangle is 5 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move constants to one side by inverse operations
  • Technique: Subtract 25 from both sides: 30 - 25 = 5
  • Check: Substitute back: 5 + 25 = 30 equals original right side ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 25 to both sides when trying to isolate triangle = triangle + 50! This moves further from the goal instead of isolating the variable. Always use the opposite operation to cancel terms.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do we subtract 25 from both sides instead of just moving it?

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We subtract from both sides to keep the equation balanced! Whatever you do to one side, you must do to the other side to maintain equality.

What does the triangle symbol represent?

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The triangle \triangle is just a placeholder for an unknown number, like using x or n. It represents the value we need to find.

Can I solve this by guessing and checking?

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Yes, but algebraic methods are faster and more reliable! Guessing works for simple problems, but systematic solving helps you tackle harder equations.

What if I get a negative number as my answer?

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Negative answers are perfectly valid! Always check by substituting back into the original equation to verify your solution is correct.

Do I always subtract when there's addition in the equation?

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Yes! Use the opposite operation to isolate the variable. If there's addition, subtract. If there's multiplication, divide. This is called using inverse operations.

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