Is this algebraic expression correct

  • Thread starter JakePearson
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In summary, to determine the correctness of an algebraic expression, it is important to follow the rules of algebra and simplify the expression using the order of operations. There can be multiple correct expressions for the same problem, and some common mistakes to avoid include incorrectly using the order of operations, distributing negative signs, and not simplifying the expression fully. While any variable can be used, it is best to use commonly used letters to avoid confusion.
  • #1
JakePearson
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a(a-6) + 9 = 0
a2 - 6a + 9 = 0
(a - 3)(a - 3) = 0
a = -3

is this correct
 
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  • #2
JakePearson said:
a(a-6) + 9 = 0
a2 - 6a + 9 = 0
(a - 3)(a - 3) = 0
a = -3

is this correct

All except for the last step. If a - 3 = 0, then a = ____
 
  • #3
?

Yes, the algebraic expression is correct. It has been simplified to the form (a - 3)(a - 3) = 0, which can be further simplified to a = -3. This means that the solution for the equation is a = -3. To verify this, we can substitute a = -3 into the original equation and see if it satisfies the equation. If it does, then the solution is correct.
 

1. Is this algebraic expression correct?

The correctness of an algebraic expression depends on several factors, such as the given variables, operations, and the rules of algebra. It is best to check the expression using algebraic rules and simplifying it to see if it matches the given problem.

2. How do I know if my algebraic expression is correct?

To check if an algebraic expression is correct, you can use the order of operations (PEMDAS) and solve the expression using substitution. If the simplified expression matches the given problem, then the expression is correct.

3. Can I have multiple correct algebraic expressions for the same problem?

Yes, there can be multiple correct algebraic expressions for the same problem. This is because there are often different ways to represent a mathematical problem using variables and operations.

4. What are some common mistakes when writing algebraic expressions?

Some common mistakes when writing algebraic expressions include forgetting to use the order of operations, not distributing negative signs correctly, and not simplifying the expression fully. It is important to double-check your work and use algebraic rules to avoid these mistakes.

5. Can I use any variable in an algebraic expression?

Yes, you can use any variable in an algebraic expression as long as it follows the rules of algebra. However, it is best to use letters that are commonly used in algebra, such as x, y, and z, to avoid confusion.

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