Which expression is equivalent to (–2)(a + 6)?
(1 point)
Responses
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The expression (-2)(a + 6) can be simplified by distributing the -2 to both terms inside the parentheses:
(-2)(a) + (-2)(6) = -2a - 12.
Therefore, the expression is equivalent to C. –2a – 12.
To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
(1 point)
Responses
A. whole numbers
B. rational numbers
C. integers
D. irrational numbers
E. natural numbers
The number -22 belongs to the following subsets of real numbers:
C. integers (since -22 is a whole number but can also be negative)
B. rational numbers (since -22 can be expressed as the fraction -22/1)
Therefore, the correct answers are C. integers and B. rational numbers.
To simplify the expression (–2)(a + 6), you need to distribute the -2 to both terms inside the parentheses.
This can be done by multiplying -2 by each term separately:
(-2)(a) + (-2)(6)
Simplifying further:
-2a + (-12)
The final expression is -2a - 12.
Therefore, the answer is C. –2a – 12.