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.
18
That simplifies to 3x - 9y. It can't be solved since it doesn't equal anything.
No. There is no equality (or inequality) in the question: only a list of expressions.
(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.
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.
A mathematical sentence that compares two unequal expressions is an inequality. For example, (3x + 5 < 20) states that the expression (3x + 5) is less than 20. In this case, the two expressions (3x + 5) and 20 are not equal, and the inequality conveys their relationship. Other forms of inequalities include greater than ((>)), less than or equal to ((\leq)), and greater than or equal to ((\geq)).
There's not enough information here to answer this accurately. One problem is the lack of operation indication. This could be 3x or 3x or 3 - x or 3 + x. In the future, it is better to write out operations on this website. Presumably, you were given a set of expressions to compare that to but you didn't include them. One possibility: x + x + x = 3x
Terms that have the same variables raised to the same powers are called like terms. Like terms can be combined through addition or subtraction because they represent the same quantity in algebraic expressions. For example, (3x^2) and (5x^2) are like terms, while (3x^2) and (4x) are not.