Simplify Algebraic Expressions Quick Check
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Question
Simplify 4x + 8x using the properties of operations.(1 point)
Responses
12x2
12 x squared
4 + 8x
4 plus 8 x
12x
12 x
4x + 8
The correct answer is 12x.
To simplify 4x + 8x, we can combine the like terms by adding the coefficients.
Since the variables are the same (both are x), we can add the coefficients together.
4x + 8x = (4 + 8)x = 12x
So, the simplified expression is 12x.
To simplify the expression 4x + 8x, you can combine the like terms.
Like terms have the same variable and exponent. In this case, the variable is x and both terms have an exponent of 1.
To combine the coefficients of like terms, you add or subtract them.
In this case, the coefficients are 4 and 8, and they have the same variable x.
Adding 4x and 8x gives us 12x.
Therefore, the simplified expression is 12x.