implify 4x + 8x using the properties of operations.

17 answers

To simplify the expression 4x + 8x using the properties of operations, we can use the distributive property, which in general form looks like this:

a(b + c) = ab + ac

In your case, let's think of 'x' as the 'a', and '4' and '8' as 'b' and 'c', respectively. Since you have 'x' in both terms, you can factor 'x' out:

x(4 + 8)

Now, add 4 and 8 together:

x(12)

Finally, this simplifies to:

12x

So, 4x + 8x simplifies to 12x using the properties of operations, which in this case is combining like terms.
Simplify 9g−7h−6g + 2h .
To simplify the expression 9g−7h−6g + 2h, you should combine like terms. Like terms are terms that contain the same variable raised to the same power.

Here, the like terms are the terms with the variable g (9g and −6g) and the terms with the variable h (−7h and +2h).

Combine the g terms:
9g − 6g = 3g

Combine the h terms:
−7h + 2h = −5h

Now, rewrite the expression with the combined like terms:

3g − 5h

The expression 9g−7h−6g + 2h simplified is 3g − 5h.
Simplify 2a − 4b +7 + 8a + 6b − 2 .
To simplify the expression 2a − 4b + 7 + 8a + 6b − 2, you should combine like terms, which are terms that contain the same variable raised to the same power and also combine any constants (numbers without variables).

First, let's combine the terms with the variable 'a':

2a + 8a = 10a

Next, combine the terms with the variable 'b':

−4b + 6b = 2b

Now, combine the constant terms:

7 − 2 = 5

Putting these together, we get:

10a + 2b + 5

The expression 2a − 4b + 7 + 8a + 6b − 2 simplified is 10a + 2b + 5.
Simplify 37x + 27x using properties of operations.
To simplify the expression 37x + 27x using the properties of operations, we combine like terms. Like terms are terms with the same variable raised to the same power, so we are just combining the coefficients (numerical parts) of these like terms.

Add the coefficients (37 and 27) together:

37x + 27x = (37 + 27)x = 64x

So, 37x + 27x simplifies to 64x using the properties of operations (specifically, the commutative and associative properties of addition).
Simplify 37x + 27x using properties of operations.(1 point)
Responses

514x2
Start Fraction 5 over 14 End Fraction x squared

514x
Start Fraction 5 over 14 End Fraction x

57x
Start Fraction 5 over 7 End Fraction x

57x2
The expression 37x + 27x can be simplified by combining like terms. Let's combine the coefficients (37 and 27) which are in front of the variable x:

37x + 27x = (37 + 27)x = 64x

Thus, the correct simplification of 37x + 27x is 64x. The choices given seem to be incorrect, as they all involve fractions or squared terms, which aren't applicable to the original expression. The correct answer to the simplification is:

64x

None of the provided responses are correct.
huh ?
Apologies for any confusion. It appears there might have been a misunderstanding with the previous response options you provided. They do not seem relevant to the expression you asked to be simplified, which is `37x + 27x`.

The expression `37x + 27x` simply requires adding the coefficients of `x` together:

37x + 27x = (37 + 27)x = 64x

The correct simplified form of `37x + 27x` is `64x`. The operations involved here are simply the addition of coefficients for like terms; there are no fractions or powers of x involved, which is why none of the response choices you've given ("514x2", "5/14 x squared", "514x", "5/14 x", "57x", "5/7 x", "57x2") are relevant to this particular problem.

The simplified answer is `64x`.
Simplify 37x + 27x using properties of operations.(1 point)
Responses

Start Fraction 5 over 14 End Fraction x
Start Fraction 5 over 14 End Fractiom
Start Fraction 5 over 7 End Fraction x
It appears that there has been a misunderstanding with the response options provided. They are all in the format of fractions, and none seem to be a correct simplification or response to the original expression '37x + 27x.'

The simplification of the expression '37x + 27x' is performed by combining like terms -- that is, by adding the coefficients (numerical factors) of the 'x' terms together:

37x + 27x = (37 + 27)x = 64x

The correct simplified form of '37x + 27x' is '64x' and is obtained through simple addition of the coefficients of 'x' (using the property of commutative addition). Since there are no fractions involved in the initial expression or its simplification, none of the responses you've provided ("Start Fraction 5 over 14 End Fraction x", "Start Fraction 5 over 14 End Fraction", "Start Fraction 5 over 7 End Fraction x") are correct.

The answer is simply '64x'.
Simplify 67c − 59d − 12 c + 13d .(1 point)
Responses

59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d

59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d

514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d

514c − 29d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d
To simplify the expression 67c − 59d − 12c + 13d, we need to combine like terms (terms that contain the same variable):

- Combine the terms with the variable 'c':
67c − 12c = 55c

- Combine the terms with the variable 'd':
−59d + 13d = −46d

Now put the simplified terms together:
55c − 46d

Out of the given responses, none exactly match the correct simplification of the original expression, which simplifies to 55c − 46d. If it's possible that there was a typo in the response options you've provided, none of them are correct as written. The correct answer, as calculated, is 55c − 46d.
which one is it
The expression 67c − 59d − 12c + 13d simplifies to 55c − 46d, which is not among the provided choices. If I have to choose from the incorrect options, none of them represent the correct simplification of the original expression as none of them match 55c − 46d.

If these options are supposed to correspond to the given expression, there may have been an error in the transcription of the choices or the original expression. If you are required to select from the provided responses, you should revisit the original question or the source of these responses to confirm the correct information. Without the correct options, I am unable to provide the answer from the choices given.