CPM Homework Help : CC1MN Problem 10-99

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10-99.

Rewrite each expression below using the Distributive Property. Then evaluate each expression for $x = 2$ and $y = 5$ .

$8x-4$
Hint (a):
What is a common factor of both terms?
Step 1 (a):
Factor out a 4 from both terms.
$4(2x-1)$
Step 2 (a):
Substitute in the known values.
$4(2(2)-1)$
Step 3 (a):
Simplify.
Answer (a):
$12$

$6y^2 + 24y$
Hint (b):
Follow the steps in part (a).
Answer (b):
$270$

$7x(y-2)$
Step 1 (c):
Multiply what is in the parentheses by what lies on the outside.
$7xy-14x$
Step 2 (c):
Substitute in the known values.
$7(2)(5)-14(2)$
Answer (c):
$42$

$3(9 + y)$
Hint (d):
Follow the steps in part (c).

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