Equivalent expressions.
you test it by giving the letters a value say if X equals 5 and Y equals 7 then you calculate both expressions with that value. If both answers are the same, then the simplified expression is correct, or an equivalent.
Because it is proportionally the same value.
If both equations can be simplified to the same value, they are equal.
You can replace a variable with an equal value or expression. Just make sure the same variable always gets the same value or expression.
An equivalent expression.
Equivalent Expression
Sample Answer: To verify, a number needs to be substituted for x in both expressions. Use order of operations to simplify and find the value. The value needs to be the same for both expressions to prove equivalence.
equivalent expression
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If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
Learn the properties, and apply them! What properties you use depends on the specific situations; some examples include:* Combine like terms (terms with the same variables), e.g.: 4x + 5x = 9x * Factor expressions * Multiply factors, so you can combine them with other expressions. In a way, this is the opposite of the previous point.
Equivalent expressions.
Yes, numerical expressions can have the same value. For example, the expressions 2+3 and 5 both have the value of 5. Similarly, the expressions 2x3 and 6 both have the value of 6. In general, any two numerical expressions that evaluate to the same number will have the same value.
an algebraic expression
you test it by giving the letters a value say if X equals 5 and Y equals 7 then you calculate both expressions with that value. If both answers are the same, then the simplified expression is correct, or an equivalent.
It means that two expressions represent the same number; for example, 5 is equivalent to 3 + 2. If there are variables in the expression, it means that the two expressions will evaluate to the same number, for any value assigned to the variable or variables. For example, for any value of x, 2x is the same as x + x; therefore, the two are equivalent.