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Equivalent Expression
Definition of Equivalent Expression
- Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.
More about Equivalent Expression
- To symbolize equivalent expressions an equality (=) sign is used.
Examples of Equivalent Expression
- 3(x + 3) and 3x + 9 are equivalent expressions, because the value of both the expressions remains same for any value of x. For instance, for x = 4, 3(x + 3) = 3(4 + 3) = 21 and 3(x + 9) = 3 × 4 + 9( x + 3) = 21.
- The expressions 6(x2 + y + 2) and 6x2 + 6y + 12 are equivalent expressions and can also be written as 6(x2 + y + 2) = 6x2 + 6y + 12.
Solved Example on Equivalent Expression
Choose an expression that is equivalent to the expression 2n + 7(3 + n).
Choices:
A. 9n + 21
B. -9n + 21
C. -9n - 21
D. n + 21
Correct Answer: A
Solution:
Step 1: 2n + 7(3 + n) [Original expression.]
Step 2: = 2n + 7(3) + 7(n) [Use the distributive property.]
Step 3: = 2n + 21 + 7n [Multiply.]
Step 4: = 2n + 7n + 21 [Use the commutative property.]
Step 5: = 9n + 21 [Combine like terms.]
well....in a totally inataquitly way...theotorical...e=mc2
What else can I help you with?
What is the definition of an equivalent variable expressions?
An equation if both expressions are equal
What is the definition of equivalent numerical expressions?
That means that the two expressions represent the same number.
What is the definition of equivalen variable expressions?
Two expressions are "equivalent" if they have the same result for any values of the variable or variables.
What is Definition of equivalent?
two expressions that have the same value for all allowable replacements are called equivalent.
What is the definition of equivalents?
two expressions that have the same value for all allowable replacements are called equivalent.
What are expressions that have the same value?
Equivalent expressions.
What is a mathematical sentence that shows how 2 expressions are equivalent?
the answer is a(n) equationequationWhen two expressions are equivalent they can form an equation.
What are expressions that denote the same numbers?
equivalent expressions
What is a statement that equates two equivalent expressions?
A statement that equates two equivalent expressions is called an Identity.
Which expressions are equivalent to 4b?
4b-b
What is the definition of dance facial expressions and emotion?
Facial expressions are when you describe the emotions of a dance with your face.x
Which of the expressions are equivalent?
To determine which expressions are equivalent, you need to analyze their structure and simplify them if necessary. Equivalent expressions yield the same value for all variable inputs, so you can also substitute specific values to test for equality. If you provide the specific expressions in question, I can help you evaluate their equivalence.
