Solve the Equation: Find the Value in 94 - △ = 90

Linear Equations with Missing Addends

Determine the numerical value of the triangle:

94−△=90 94-\triangle=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:

94−△=90 94-\triangle=90

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Understand the given equation 94−△=9094 - \triangle = 90. We need to find △\triangle.
  • Step 2: Move terms to isolate △\triangle:
    Rearrange the equation to: △=94−90\triangle = 94 - 90.
  • Step 3: Perform the subtraction: 94−90=494 - 90 = 4.
  • Step 4: Therefore, the value of △\triangle is 44.

Thus, the numerical value represented by the triangle is 4 \mathbf{4} .

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move all known numbers to one side of equation
  • Technique: Rearrange 94−△=90 94 - \triangle = 90 to △=94−90 \triangle = 94 - 90
  • Check: Substitute back: 94−4=90 94 - 4 = 90 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting when rearranging
    Don't write triangle = 94 + 90 = 184! This happens when you forget that moving a subtracted number changes its sign. Always remember: when moving 90 from the right side, it becomes triangle = 94 - 90.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why does the 90 stay negative when I move it?

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When you move a number across the equals sign, its operation changes. Since 90 was being subtracted from triangle, when we isolate triangle, we get triangle = 94 - 90.

Can I solve this by adding to both sides instead?

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Yes! Add △ \triangle to both sides: 94=90+△ 94 = 90 + \triangle , then subtract 90: △=4 \triangle = 4 . Both methods work!

How do I check if 4 is really the right answer?

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Substitute 4 back into the original equation: 94−4=90 94 - 4 = 90 . Since this is true, your answer is correct!

What if I got a different number like 184?

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If you got 184, you likely added instead of subtracted. Remember: 94−184=−90 94 - 184 = -90 , not 90, so 184 can't be right!

Is there a shortcut for these missing number problems?

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  • For subtraction: Missing number = Start number - End number
  • For addition: Missing number = Total - Known addend

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