Use the properties of operations to add 4(g−2)+(g+2).(1 point)
Responses
Using the properties of operations, we can simplify the expression:
4(g-2) + (g+2)
First, distribute the 4 to g and -2:
4g - 8 + (g+2)
Next, combine like terms:
4g + g - 8 + 2
Finally, simplify:
5g - 6
Use the properties of operations to subtract (h+k)−(2k−h) .(1 point) Responses 2h−k 2 h minus k −2h−k negative 2 h minus k −k negative k 2h+k
To add the expression 4(g-2) + (g+2), we can distribute the 4 to both terms in the first parentheses and the 1 to both terms in the second parentheses.
4(g-2) simplifies to 4g - 8, and (g+2) simplifies to g + 2.
Now, we can combine like terms by adding the terms that have the same variable. In this case, we have 4g and g.
So, 4g + g simplifies to 5g.
Putting it all together, the expression 4(g-2) + (g+2) simplifies to 5g - 6.
To simplify the expression 4(g−2)+(g+2), we can distribute the 4 to both terms within the parentheses, and then combine like terms.
First, distribute the 4 to (g−2):
4(g−2) = 4g - 8
Next, distribute the 4 to (g+2):
4(g+2) = 4g + 8
Now, we can combine the like terms:
4g - 8 + 4g + 8
When adding terms with the same variable, we can add their coefficients (the numbers in front of the variable):
4g + 4g = 8g
For the constant terms -8 and +8, they cancel each other out (since -8 + 8 = 0), so they can be omitted.
Therefore, the simplified expression is 8g.
So, 4(g−2)+(g+2) simplifies to 8g.