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What are expressions that contain the same variable?
an algebraic expression
What is the meaning of variable in algebraic expression?
Variable is any letter used in an algebraic expression, and can vary (change form) to be any number, and one variable means the same number in any single algebraic expression. Usually algebra is simplifying the expression or equation until you know what the variable is equal to.
What exactly has the same variable and exponents?
In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.
Two algebraic expressions are if they have the same value for all values of their variable?
They are identical or equivalent.
What is the algebraic expression of 9 x?
Because "x" is a variable, it is the same as 9 times x.
Can you add unknowns that have coefficients and exponents?
the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)
Algebraic terms that contain the same variables and exponents?
are known as like terms.
What are expressions that contain the same variable?
an algebraic expression
What is the meaning of variable in algebraic expression?
Variable is any letter used in an algebraic expression, and can vary (change form) to be any number, and one variable means the same number in any single algebraic expression. Usually algebra is simplifying the expression or equation until you know what the variable is equal to.
What exactly has the same variable and exponents?
In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.
What is the definition of dissimilar term in algebra?
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
Two algebraic expressions are if they have the same value for all values of their variable?
They are identical or equivalent.
What is the algebraic expression of 9 x?
Because "x" is a variable, it is the same as 9 times x.
How do you solve multiplication with like terms?
Just multiply the coefficients, leave the variable the same, and add the exponents.
How do you find GCF with variables and exponents?
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
Definition of similar terms?
Similar terms or like terms are terms with the exact same variable and the variable have the exact same exponents. So x2 and 2x2 are like terms but x2 and x are not.
Describe what is meant by like terms?
Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, (3x) and (5x) are like terms because they both contain the variable (x) with an exponent of 1. However, (3x^2) and (5x) are not like terms because their variables have different exponents. Combining like terms simplifies expressions by allowing you to add or subtract their coefficients.
