CPM Homework Help : CC3 Problem 2-78

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2-78.

Simplify each expression below as much as possible.

$3 y - y + 5 x + 3 - 7 x$
Hint (a):
Try using an Expression Mat.
$3y+(−y)+5x+3+(−7x)$
Step 1(a):
Combine like terms.
$2y+(−2x)+3$
Step 2(a):
Remember to remove unnecessary signs.
(Example: $x+(−2)$ would be $x−2$ )
Answer (a):
$2y−2x+3$

$- 1 - ( - 5 x ) - 2 x + 2 x ^ { 2 } + 7$
Hint 1(b):
Follow the steps described in part (a).
Hint 2(b):
Remember you cannot combine variables with different exponent values. (Example: you cannot add $x+x^2$ )
Answer (b):
$2x^2+3x+6$

$6 x + 2 - 1 - 4 x - 3 - 2 x + 2$

$\frac { 2 } { 3 } x - 3 y + \frac { 1 } { 3 } x + 2 y$
Hint (d):
$\frac{2}{3}x+\frac{1}{3}x=x$

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