Solve the Equation: Finding the Value in 45 + △ = 50

Basic Algebra with Inverse Operations

Determine the numerical value of the triangle:

45+=50 45+\triangle=50

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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:

45+=50 45+\triangle=50

2

Step-by-step solution

Let's solve the problem step by step:

  • Step 1: Start with the equation provided: 45+=50 45 + \triangle = 50 .

  • Step 2: To solve for \triangle, isolate it by subtracting 45 from both sides of the equation to maintain equality.

  • This subtraction gives: =5045\triangle = 50 - 45.

  • Step 3: Perform the subtraction on the right-hand side: 5045=550 - 45 = 5.

Thus, the numerical value of the triangle (\triangle) is 5 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Inverse Operations: Use subtraction to undo addition in equations
  • Technique: Subtract 45 from both sides: 50 - 45 = 5
  • Check: Substitute back into original equation: 45 + 5 = 50 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 45 to both sides thinking it will help = you get 90 + triangle = 95! This makes the equation more complex instead of solving it. Always use the opposite operation to isolate the unknown value.

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 subtract 45 from both sides instead of just from one side?

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You must do the same operation to both sides to keep the equation balanced! Think of it like a scale - whatever you do to one side, you must do to the other 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 how we usually use 'x' or 'y'. It represents the value we need to find.

How do I know which operation to use?

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Look at what operation is being done to your unknown! If something is being added to it (like +45), use subtraction to undo it. If something is being subtracted, use addition.

Can I solve this equation differently?

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You could think of it as "what number plus 45 equals 50?" but the algebraic method with inverse operations works for all equation types, making it the most reliable approach.

What if I get a negative number as my answer?

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Negative answers are completely valid! Always check your work by substituting back into the original equation to make sure both sides are equal.

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