Combine like terms:
1. -21a + 16a
A -5a
B 5a
C 37a
D -37a**
2. 5 (x + 10) + x
A 6x + 15 **
B 5x + 15
C 6x + 50
D 4x - 50
Both answers are wrong.
is 1 c and 2 b
To combine like terms, you need to simplify the expression by adding or subtracting the coefficients of terms that have the same variable raised to the same power.
1. -21a + 16a
Here, the like terms have the variable "a" raised to the power of 1. To combine them, you simply add or subtract their coefficients:
-21a + 16a = (-21 + 16)a = -5a
So, the correct answer is B) 5a.
2. 5(x + 10) + x
In this equation, we have a term in parentheses and another term outside the parentheses. To simplify, you need to distribute the number outside the parentheses to each term inside:
5(x + 10) + x = 5x + 50 + x
Now, we have two like terms, both with the variable "x" raised to the power of 1:
5x + 50 + x = (5 + 1)x + 50 = 6x + 50
So, the correct answer is A) 6x + 15.