Chapter 2 Integers and Introduction to Solving Equations
Section 2.5 Order of Operations with Integers; Mathematical Models
50. −4 y 2 + 6 y + 23 = −4 ( −3) + 6 ( −3 ) + 23 2
= −4 ( 9 ) + 6 ( −3) + 23
= −36 + ( −18 ) + 23 = −54 + 23 = −31
51. −m − 3m + 4 ( m + 5) = − ( −7 ) − 3 ( −7 ) + 4( −7 + 5 ) 2
2
= − ( −7 ) − 3 ( −7 ) + 4( −2 ) 2
= −49 − 3 ( −7 ) + 4 ( −2 ) = −49 − ( −21) + ( −8 ) = −49 + 21 + ( −8 ) = −57 + 21 = −36
52. −m − 5m + 6( m + 2 ) = − ( −8) − 5 ( −8 ) + 6 ( −8 + 2 ) 2
2
= − ( −8) − 5 ( −8 ) + 6 ( −6 ) 2
= −64 − 5 ( −8 ) + 6 ( −6 )
= −64 − ( −40 ) + ( −36 ) = −64 + 40 + ( −36 ) = −100 + 40 = −60 53. −12, 500 x + 3472x + 1776 = −12, 500 ( 0 ) + 3472 ( 0 ) + 1776 = 0 + 0 + 1776 2
2
= 1776 54. −14, 700 x + 4723x + 1812 = −14, 700 ( 0 ) + 4723 ( 0 ) + 1812 = 0 + 0 + 1812 2
2
= 1812 55.
x+3 −7 x3 + 5x2
= =
−10 + 3 − 7
( −10 )3 + 5( −10 )2 −7 − 7 −1000 + 5 (100 )
7−7 −1000 + 500 0 = −500 =0 =