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