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What are expressions that have the same value for all values of the variables?
Equivalent Expression
Do expressions have the same value?
No, expressions cannot have the same value in algebra. They may be assigned to different values and on solving we can get different answers in each case.
What are expressions that have the same value no matter what x represents called?
algebraic expressions
What is the math statement called if two expressions have the same value?
An equation, or, perhaps an equality. 5X - 5 = 20 this equation has the same value that will satisfy it, with some manipulation this is two expressions having the same value 10 - 6 = 2 + 2
Will the value of the expression 20- x increase decrease or stay the same as x Explain?
If x stays the same the expression stays the same. Since the expression involves negative x, the value of the expression decreases as x increases.
What are expressions that have the same value for all values of the variables?
Equivalent Expression
What are expressions that have the same value for all values of the variables called?
equivalent expression
Is -12x-18 equivalent to the expression -6x-9-3(3-2x)?
To determine if the expressions (-12x - 18) and (-6x - 9 - 3(3 - 2x)) are equivalent, we can simplify the second expression. Distributing the (-3) gives (-6x - 9 - 9 + 6x), which simplifies to (-18). Thus, the expression simplifies to (-18), while the first expression is (-12x - 18). Since the two expressions are not the same (the first has a variable term), they are not equivalent.
Expressions that simplify to the same expression or value.?
2+2 = 2*2 = 2^2 all simplify to 4. But there is no special name for the three expressions.
Are xx plus 3) and xx plus 6 plus xx equivalent expressions?
To determine if the expressions (xx + 3) and (xx + 6 + xx) are equivalent, we can simplify them. The second expression simplifies to (2xx + 6). Since (xx + 3) and (2xx + 6) are not the same, they are not equivalent expressions.
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.
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 do expressions which use numbers or other symbols and an equal sign mean?
In mathematics, such expressions indicate that the value of the expression to the left of the equal sign has the same value as the expression to the right of the equal sign. In some cases, it can also be interpreted to mean that the expression on one side of the equal sign can be used in place of the expression on the other side of the equal sign (say in manipulating algebraic expressions). In computer languages, the equal sign is sometimes also used to indicate that the value of the expression to the right of the equal sign is to be transferred to the location indicated by the expression to the left of the equal sign. The expression to the left of the equal sign is usually a single variable that represents a memory location.
