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 2a − 4b +7 + 8a + 6b − 2 .(1 point)
5 answers
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.
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
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
3 answers