Which two statements are correct when simplifying this expression?
−7(9x − 5)
Responses
A First, distribute −7.First, distribute −7.
B First, calculate −7 + (−5).First, calculate −7 + (−5).
C −7(9x −5) = −63x − 35.−7(9x −5) = −63x − 35.
D −7(9x −5) = −63x + 35.−7(9x −5) = −63x + 35.
E −7(9x −5) = 63x − 35.
The correct statements when simplifying the expression −7(9x − 5) are:
A) First, distribute −7.
C) −7(9x − 5) = −63x − 35.
The correct statements are A and C.
Statement A is correct because the expression −7(9x − 5) can be simplified by distributing −7 to each term inside the parentheses: −7(9x) − 7(-5) = −63x + 35.
Statement C is correct because the simplified expression is −63x + 35.
To simplify the expression −7(9x − 5), you need to distribute the -7 to the terms inside the parentheses.
The correct statement is:
A. First, distribute −7.
Explanation:
To distribute -7 to the terms inside the parentheses, you multiply -7 by each term individually.
So, −7(9x − 5) becomes: -7 * 9x - 7 * -5.
Simplifying this:
-7 * 9x = -63x
-7 * -5 = 35
Thus, the simplified expression is: -63x + 35.
Therefore, option A is correct: First, distribute −7.