Equivalent expressions are
expressions that work the same even though they look different
. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
How do you identify equivalent expressions?
Two expressions are equivalent
if they can be simplified to the same third expression
or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
How do I write an equivalent expression?
You can write equivalent expressions
by combining like terms
. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.
How do you simplify an expression?
- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.
What is an example of an equivalent expression?
Examples of Equivalent Expressions
3(x + 2) and 3x + 6
are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x
2
+ 2y + 1) = 6x
2
+ 12y + 6.
How you can use the distributive property to write an equivalent expression?
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example,
a(b + c) = ab + ac
. Equivalent means equal in value or meaning.
What are some examples of expressions?
The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase “a penny saved is a penny earned.” An example of an expression is
a smile
. A facial aspect or a look that conveys a special feeling.
What is equivalent calculator?
Equivalent Expression Calculator is
a free online tool that displays the equivalent expressions for the given algebraic expression
. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.
What must be included in an algebraic expression?
Algebraic expressions include
at least one variable and at least one operation (addition, subtraction, multiplication, division)
. For example, 2(x + 8y) is an algebraic expression.
How do you factor expressions?
Multiply the
number
and variable together to get 2x. Then divide each part of the expression by 2x. The expression with the GCF factored out is 2x (x^
2
+ 9x + 5). Note that you must put the factored expression in parentheses and write the GCF next to it.
What does a numerical expression look like?
A numerical expression is a
mathematical sentence involving only numbers and one or more operation symbols
. Examples of operation symbols are the ones for addition, subtraction, multiplication, and division. They can also be the radical symbol (the square root symbol) or the absolute value symbol.
Which expression is equivalent to 16 * 3?
That means the expression “
24 x 2′′
is equivalent to 16 x 3.
What is an example of simplify?
Simplify is to make something less complicated or less cluttered. An example of simplify is when you explain a tough math concept in really easy terms for a child to understand. An example of simplify is when
you cut out a lot of the activities that were making you busy and stressed
.
How do you expand and simplify expressions?
In order to expand and simplify an expression, we need
to multiply out the brackets and then simplify the resulting expression by collecting the like terms
. Expanding brackets (or multiplying out) is the process by which we remove brackets.
What are two ways the distributive property can be used to write equivalent expressions?
For example, apply the
distributive property to
the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
