Simplify 4x + 8x using the properties of operations.(1 point)
When simplifying an expression using the properties of operations, you can combine like terms. In this case, the like terms are 4x and 8x.
To combine these terms, you add their coefficients:
4x + 8x = 12x
So, 4x + 8x simplifies to 12x.
Simplify 9g−7h−6g + 2h . (1 point)
To simplify the expression 9g - 7h - 6g + 2h, we combine the like terms:
Combining the g terms, we have 9g - 6g = 3g.
Combining the h terms, we have -7h + 2h = -5h.
Therefore, the simplified expression is 3g - 5h.
Simplify 2a − 4b +7 + 8a + 6b − 2. (1 point)
Simplify 3/7x + 2/7x using properties of operations. (1 point)
To simplify 2a - 4b + 7 + 8a + 6b - 2, combine like terms:
Combining the a terms, we get 2a + 8a = 10a.
Combining the b terms, we get -4b + 6b = 2b.
Combining the constant terms, we get 7 - 2 = 5.
The simplified expression is then 10a + 2b + 5.
To simplify 3/7x + 2/7x, we combine the like terms:
The like terms in this expression are 3/7x and 2/7x.
Adding their coefficients together, we get 3/7x + 2/7x = (3 + 2)/7x = 5/7x.
Therefore, the simplified expression is 5/7x.
Simplify 6/7c − 5/9d − 1/2 c + 1/3d. (1 point)
To simplify 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
Combining the c terms, we have 6/7c - 1/2c. To do this, we need a common denominator, which is 14. So we rewrite the fractions as: (12/14)c - (7/14)c = 5/14c.
Combining the d terms, we have -5/9d + 1/3d. To do this, we need a common denominator, which is 9. So we rewrite the fractions as: (-15/45)d + (15/45)d = 0d. The d terms cancel each other out.
Combining the fractions, we have 5/14c + 0d.
Therefore, the simplified expression is 5/14c.
Simplify 2a − 4b +7 + 8a + 6b − 2.(1 point)Responses−2ab + 14ab + 5negative 2 a b plus 14 a b plus 510a + 2b +510 a plus 2 b plus 512ab + 512 a b plus 510a − 2b +5
To simplify the expression 4x + 8x, we can combine like terms since both terms have the same variable, which is x.
Step 1: Add the coefficients of the like terms.
The coefficient of the first term, 4x, is 4.
The coefficient of the second term, 8x, is 8.
Step 2: Combine the coefficients.
4 + 8 = 12
Step 3: Write the result with the common variable, x.
The simplified expression is 12x.