Solve the Equation: Triangle Symbol - 8 = 90

Linear Equations with Variable Symbols

Determine the numerical value of the triangle:

8=90 \triangle-8=90

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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:

8=90 \triangle-8=90

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Add 8 to both sides of the equation 8=90 \triangle - 8 = 90 .
  • Step 2: Simplify to determine the value of \triangle .

Now, let's work through each step:

Step 1: Add 8 to both sides of the equation:
8+8=90+8 \triangle - 8 + 8 = 90 + 8

Step 2: Simplify the equation:
=98 \triangle = 98

This means the value of the triangle ( \triangle ) that satisfies the equation is 98 98 .

Therefore, the solution to the problem is 98 98 .

3

Final Answer

98 98

Key Points to Remember

Essential concepts to master this topic
  • Inverse Operations: Use addition to undo subtraction operations
  • Technique: Add 8 to both sides: 8+8=90+8 \triangle - 8 + 8 = 90 + 8
  • Check: Substitute answer: 988=90 98 - 8 = 90

Common Mistakes

Avoid these frequent errors
  • Subtracting 8 from both sides instead of adding
    Don't subtract 8 from both sides when you see triangle - 8 = 90! This gives triangle = 82, which is wrong. The subtraction is already in the equation, so you need to ADD 8 to both sides to isolate the triangle.

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 I add 8 when I see triangle minus 8?

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Great question! When you see 8 \triangle - 8 , the 8 is being subtracted from the triangle. To get the triangle by itself, you need to undo that subtraction by adding 8 to both sides.

What if the triangle symbol confuses me?

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Think of the triangle \triangle as just another letter like x or y! It represents an unknown number that we need to find. The symbol doesn't change how we solve the equation.

How do I remember which operation to use?

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Use opposite operations! If you see subtraction in the equation, use addition to solve it. If you see addition, use subtraction. Think: What undoes this operation?

Can I check my answer a different way?

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Yes! Besides substituting back, you can think logically: What number minus 8 equals 90? Since 90+8=98 90 + 8 = 98 , the answer must be 98.

What if I get the same variable on both sides?

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That won't happen with this type of problem! When you have 8=90 \triangle - 8 = 90 , adding 8 to both sides gives you =98 \triangle = 98 - the triangle is isolated on one side.

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