Question

using the distributive property
use the distributive property to match equivalent expressions.
7(4 + x)
-7(4 - x)
7(-4 - x)
-7(-4 + x)
28 - 7x
-28 + 7x
28 + 7x
-28 - 7x

Explanation:

Step1: Distribute 7 to 4 and $x$

$7(4 + x) = 7\times4 + 7\times x = 28 + 7x$

Step2: Distribute -7 to 4 and $-x$

$-7(4 - x) = -7\times4 + (-7)\times(-x) = -28 + 7x$

Step3: Distribute 7 to $-4$ and $-x$

$7(-4 - x) = 7\times(-4) + 7\times(-x) = -28 - 7x$

Step4: Distribute -7 to $-4$ and $x$

$-7(-4 + x) = -7\times(-4) + (-7)\times x = 28 - 7x$

Answer:

$7(4 + x)
ightarrow 28 + 7x$
$-7(4 - x)
ightarrow -28 + 7x$
$7(-4 - x)
ightarrow -28 - 7x$
$-7(-4 + x)
ightarrow 28 - 7x$