Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5 <--I think that is the answer
B) 8x − 19
C) −8x + 5
D) −8x + 19
nope. Watch those +/- signs
7-4(2x-3)
= 7-(8x-12)
= 7-8x+12
= -8x+19
Which expression is equivalent to (2x-y)(7-8x)?
To solve the expression 7 − 4(2x − 3), we need to use the distributive property to distribute the 4 to the terms inside the parentheses.
This gives us:
7 − 4 * 2x - 4 * -3
Simplifying further:
7 - 8x + 12
Combining like terms:
-8x + 19
Therefore, the correct equivalent expression is:
D) -8x + 19.
To determine which expression is equivalent to 7 − 4(2x − 3), we need to simplify the expression by using the distributive property and combining like terms.
First, let's apply the distributive property by multiplying 4 with each term inside the parentheses:
7 - 4(2x - 3) = 7 - 8x + 12
Now, let's combine the constant terms:
7 - 8x + 12 = 19 - 8x
Therefore, the expression 7 − 4(2x − 3) is equivalent to 19 - 8x.
Now let's compare the options given:
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
The equivalent expression we found, 19 - 8x, matches the expression in option D, −8x + 19.
So, the correct answer is D) −8x + 19.