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2+2 = 2*2 = 2^2 all simplify to 4. But there is no special name for the three expressions.
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What are expressions that have the same value?
Equivalent expressions.
How do you know if the original expression is equivalent to the simplified 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.
Why doesn't the value of the fraction change when you simplify it?
Because it is proportionally the same value.
Expressions that have the same value?
If both equations can be simplified to the same value, they are equal.
To solve a system of equations you cannot replace a variable with an equal value or expression?
You can replace a variable with an equal value or expression. Just make sure the same variable always gets the same value or expression.
What is a expressions that simplifies to the same expression or value?
An equivalent expression.
What are expressions that have the same value for all values of the variables?
Equivalent Expression
Ranger wants to verify that the expression8x – 20 is the correct simplified expression for 4(2x – 5). Explain how to verify the simplified 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.
What are expressions that have the same value for all values of the variables called?
equivalent expression
What expression is equivalent to -5x-5y?
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Do you solve an expression the same way you solve an equation?
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.
How can I use the properties of algebra to simplify 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.
What are expressions that have the same value?
Equivalent expressions.
Can numerical expressions have the same value?
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.
What are expressions that contain the same variable?
an algebraic expression
How do you know if the original expression is equivalent to the simplified 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.
What does equivalent expressions in math mean?
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.
