Simplify 2a − 4b +7 + 8a + 6b − 2 .(1 point)
The expression 2a - 4b + 7 + 8a + 6b - 2 can be simplified by combining like terms.
The like terms are the ones that have the same variables and exponents.
Combining the terms with the variable "a", we have 2a + 8a = 10a.
Combining the terms with the variable "b", we have -4b + 6b = 2b.
Combining the constant terms, we have 7 - 2 = 5.
Therefore, the simplified expression is 10a + 2b + 5.
Simplify 3/7x + 2/7x using properties of operations
To simplify 3/7x + 2/7x, we can combine like terms.
Like terms have the same variable and exponent, which in this case is "x".
To combine the terms, we can add the coefficients.
Therefore, 3/7x + 2/7x becomes (3/7 + 2/7)x.
The coefficients 3/7 and 2/7 have a common denominator of 7, so we can add them directly.
3/7 + 2/7 = 5/7.
Therefore, the simplified expression is (5/7)x.
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we first combine like terms.
The like terms are 6/7c and -1/2c, which have the same variable "c". We can combine these terms using the distributive property:
(6/7 - 1/2)c
To add fractions, we need a common denominator for the numerators which in this case is 14. Therefore, after finding the common denominator, we have:
(12/14 - 7/14)c
(5/14)c
Now, let's combine the terms with "d". The like terms are -5/9d and 1/3d. We can combine these terms using the distributive property:
(-5/9 + 1/3)d
To add fractions, we need a common denominator for the numerators which is 9. Therefore, after finding the common denominator, we have:
(-15/27 + 9/27)d
(-6/27)d
Simplifying this, we get:
(-2/9)d
Therefore, the simplified expression is:
(5/14)c - (2/9)d
To simplify the expression 2a − 4b + 7 + 8a + 6b − 2, we can combine like terms.
First, let's combine the terms with 'a':
2a + 8a = 10a
Next, let's combine the terms with 'b':
-4b + 6b = 2b
Now, let's combine the constant terms:
7 - 2 = 5
Putting it all together, we have the simplified expression:
10a + 2b + 5
To simplify the expression 2a - 4b + 7 + 8a + 6b - 2, we combine like terms.
Like terms are terms that have the same variable part, that is, the same letter with the same exponent. In this expression, the like terms are the terms with variables 'a' and 'b', and the constants.
We start by combining the 'a' terms. We have 2a and 8a. These two terms have the same variable part ('a'), so we can add their coefficients (the numbers in front of the variable).
2a + 8a = (2 + 8)a = 10a
Now let's combine the 'b' terms. We have -4b and 6b. Again, these terms have the same variable part ('b'), so we add their coefficients.
-4b + 6b = (-4 + 6)b = 2b
Finally, let's combine the constants. We have 7 and -2.
7 + (-2) = 7 - 2 = 5
Now we put it all together:
2a - 4b + 7 + 8a + 6b - 2 = 10a + 2b + 5