### Home > MC2 > Chapter 7 > Lesson 7.2.2 > Problem7-80

7-80.

Simplify each expression.

1. $\frac { 2 ( 5 + 3 ) } { 4 }$

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.

$4$

1. $\frac { 1 } { 2 } ( 15 + 3 ) - 10 \div 2$

See (a).

1. $5 \frac { 1 } { 2 } - 2 \frac { 1 } { 4 } + \frac { 3 } { 8 }$

You may find this expression easier to simplify by combining the whole numbers and the fractions separately.

$- \frac{3}{4}$

1. $3 + \frac { 3 } { 5 } \cdot \frac { 1 } { 4 }$

See (a).

1. $- 2 + ( - 5 + 6 ) ^ { 2 }$

First simplify the terms in parentheses, then the terms with exponents, and lastly combing any numbers that are added or subtracted.

$−1$

1. $\frac { 3 } { 4 } \cdot \frac { 1 } { 4 } + \frac { 5 } { 8 } \cdot ( - \frac { 3 } { 2 } )$

See (a).