Simplify for x + 8x using the properties of operations
To simplify x + 8x, we can combine like terms. Like terms are terms that have the same variable raised to the same exponent. In this case, both terms have the variable x raised to the first power. Combining these two like terms, we get:
x + 8x = (1 + 8)x = 9x
Therefore, the simplified form of x + 8x is 9x.
To simplify the expression x + 8x using the properties of operations, we can combine the like terms.
First, let's rewrite the expression with the like terms next to each other:
x + 8x
Next, we can combine the like terms:
1x + 8x = (1 + 8)x
The sum of the coefficients (1 + 8) is 9.
So, x + 8x simplifies to:
9x
To simplify the expression x + 8x, we can use the properties of operations, specifically the distributive property.
The distributive property states that when you have a number or variable multiplying a sum or difference inside parentheses, you can distribute the multiplication to each term inside the parentheses.
In this case, we have x + 8x. Notice that both terms have a common factor of x, so we can factor out x to simplify the expression.
To do that, we can rewrite the expression as:
x(1 + 8)
Now, we can simplify the inside of the parentheses, which gives us:
x(9)
Finally, by multiplying x with 9, we get the simplified expression:
9x
So, the expression x + 8x simplifies to 9x using the distributive property and combining like terms.