CPM Homework Help : MC2 Problem 7-80

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7-80.

Simplify each expression.

$\frac { 2 ( 5 + 3 ) } { 4 }$
Hint (a):
Following the order of operations, first simplify the terms in parentheses, then the ones being multiplied or divided.
Lastly, combine any terms that are being added or subtracted.
Answer (a):
$4$

$\frac { 1 } { 2 } ( 15 + 3 ) - 10 \div 2$
Hint (b):
See (a).

$5 \frac { 1 } { 2 } - 2 \frac { 1 } { 4 } + \frac { 3 } { 8 }$
Hint (c):
You may find this expression easier to simplify by combining the whole numbers and the fractions separately.
Answer (c):
$- \frac{3}{4}$

$3 + \frac { 3 } { 5 } \cdot \frac { 1 } { 4 }$
Hint (d):
See (a).

$- 2 + ( - 5 + 6 ) ^ { 2 }$
Hint (e):
First simplify the terms in parentheses, then the terms with exponents, and lastly combing any numbers that are added or subtracted.
Answer (e):
$−1$

$\frac { 3 } { 4 } \cdot \frac { 1 } { 4 } + \frac { 5 } { 8 } \cdot ( - \frac { 3 } { 2 } )$
Hint (f):
See (a).

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