The expression -2 3x can be represented as "negative two times three times a variable x" or "negative two multiplied by three times x." The expression 3x - 2 can be phrased as "three times a variable x minus two." Both expressions involve multiplication and subtraction of the variable x with constants.
To determine if (2(6-3x) + x) is equivalent to (2(3x) + x), we can simplify both expressions. Starting with the left side: (2(6-3x) + x = 12 - 6x + x = 12 - 5x). Now for the right side: (2(3x) + x = 6x + x = 7x). Since (12 - 5x) is not equal to (7x), the two expressions are not equivalent.
When a number is multiplied by a variable, it creates a term that represents the product of the two. For example, in the expression (3x), the number 3 is multiplied by the variable (x). This means that the value of (3x) will change depending on the value of (x). Such expressions are commonly used in algebra to represent relationships and solve equations.
Expressions can be written using mathematical symbols, variables, and constants to represent relationships or operations. They often include operators such as addition (+), subtraction (−), multiplication (×), and division (÷), along with parentheses to indicate the order of operations. For example, an expression like (3x + 5) combines a variable (x) with constants and coefficients. Additionally, expressions can also be verbalized in natural language to describe their meaning or purpose.
18
That simplifies to 3x - 9y. It can't be solved since it doesn't equal anything.
(6x - 5y) + (-3x - 4y) =6x - 5y - 3x - 4y =3x - 9y =3 (x - 3y)
Well, isn't that just a happy little math question! Let's take a look at these expressions together. The factors of 3x - 2y are (3x - 2y) and 1, while the factors of 3x + 2y are (3x + 2y) and 1. Remember, in math, factors are numbers or expressions that can be multiplied together to get a specific result. Just like painting, math can be a beautiful and creative process!
To determine if (2(6-3x) + x) is equivalent to (2(3x) + x), we can simplify both expressions. Starting with the left side: (2(6-3x) + x = 12 - 6x + x = 12 - 5x). Now for the right side: (2(3x) + x = 6x + x = 7x). Since (12 - 5x) is not equal to (7x), the two expressions are not equivalent.
When a number is multiplied by a variable, it creates a term that represents the product of the two. For example, in the expression (3x), the number 3 is multiplied by the variable (x). This means that the value of (3x) will change depending on the value of (x). Such expressions are commonly used in algebra to represent relationships and solve equations.
Expressions can be written using mathematical symbols, variables, and constants to represent relationships or operations. They often include operators such as addition (+), subtraction (−), multiplication (×), and division (÷), along with parentheses to indicate the order of operations. For example, an expression like (3x + 5) combines a variable (x) with constants and coefficients. Additionally, expressions can also be verbalized in natural language to describe their meaning or purpose.
18
That simplifies to 3x - 9y. It can't be solved since it doesn't equal anything.
Expand the bracket.
No. There is no equality (or inequality) in the question: only a list of expressions.
Multiplication and addition.
Yes, some terms can also be considered expressions, depending on the context in which they are used. In mathematics, a term is a single mathematical entity, such as a number, variable, or the product of numbers and variables, while an expression is a combination of terms. For example, the term "3x" is part of the expression "3x + 5." Thus, all terms can form expressions, but not all expressions can be reduced to a single term.
In any mathematical problem, two expressions are typically the parts of the equation that are separated by an operator, such as addition, subtraction, multiplication, or division. For example, in the equation (3x + 5 = 20), the two expressions are (3x + 5) and (20). Similarly, in the expression (2a - 4b = 10), the two expressions are (2a - 4b) and (10). Each expression represents a value or a relationship that can be solved or simplified.