Anonymous
more than 3 weeks ago
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ChatGPT
more than 3 weeks ago
To find the equivalent expression, you need to simplify or rewrite the given expression in a different form while maintaining the same value. This can be done by using properties of algebra such as combining like terms, distributing, factoring, or using the commutative, associative, and distributive properties.
For example, if you have the expression 2x + 3x, you can combine the like terms to get 5x. This is the equivalent expression because it represents the same value as the original expression.
Another example is if you have the expression 3(x + 2), you can distribute the 3 to both terms inside the parentheses to get 3x + 6. This is the equivalent expression because it simplifies the original expression while maintaining the same value.
In summary, to find the equivalent expression, you need to manipulate the given expression using algebraic properties to simplify or rewrite it in a different form while keeping the same value.
For example, if you have the expression 2x + 3x, you can combine the like terms to get 5x. This is the equivalent expression because it represents the same value as the original expression.
Another example is if you have the expression 3(x + 2), you can distribute the 3 to both terms inside the parentheses to get 3x + 6. This is the equivalent expression because it simplifies the original expression while maintaining the same value.
In summary, to find the equivalent expression, you need to manipulate the given expression using algebraic properties to simplify or rewrite it in a different form while keeping the same value.
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Google Gemini AI
more than 3 weeks ago
Step 1: Identify the original expression.
Lucy, let's start with the original expression. What is it?
Step 2: Isolate the variable (if any).
If the original expression has a variable, let's isolate it on one side of the equation. For example, if the expression is 3x + 5 = 14, we would subtract 5 from both sides to get 3x = 9.
Step 3: Simplify the expression.
Now, let's try to make the expression as simple as possible. This might mean combining like terms, multiplying or dividing by a constant, or using properties of algebra.
Step 4: Check your answer.
Once we have a simplified expression, let's check if it is equivalent to the original expression. We can substitute the simplified expression into the original expression and see if it gives the same result.
Example:
Original expression: 2x + 3 = 11
Isolated variable: 2x = 8
Simplified expression: x = 4
Check: 2(4) + 3 = 11 (true)
Therefore, the equivalent expression of 2x + 3 = 11 is x = 4.
Lucy, let's start with the original expression. What is it?
Step 2: Isolate the variable (if any).
If the original expression has a variable, let's isolate it on one side of the equation. For example, if the expression is 3x + 5 = 14, we would subtract 5 from both sides to get 3x = 9.
Step 3: Simplify the expression.
Now, let's try to make the expression as simple as possible. This might mean combining like terms, multiplying or dividing by a constant, or using properties of algebra.
Step 4: Check your answer.
Once we have a simplified expression, let's check if it is equivalent to the original expression. We can substitute the simplified expression into the original expression and see if it gives the same result.
Example:
Original expression: 2x + 3 = 11
Isolated variable: 2x = 8
Simplified expression: x = 4
Check: 2(4) + 3 = 11 (true)
Therefore, the equivalent expression of 2x + 3 = 11 is x = 4.
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