Simplify each expression. Justify each step.- 25 • 3.9 • 4 50. (4 .4 - 4 .4 )(jc + 7 ) 51. (7 6 - 6 5)(8 - 8 )
Reasoning Answer each question. Use examples to justify your answers.- Is s u b tra c tio n c o m m u ta tiv e? 53. Is s u b tra c tio n associative?
- Is d iv is io n c o m m u ta tiv e? 55. Is d iv is io n associative?
0 Challenge 56. Patterns I h e C o m m u t a t iv e P r o p e r t y o f A d d it i o n le ts y o u r e w r it e a d d it io n
e x p re s s io n s. H o w m a n y d if f e r e n t w a y s c a n y o u w r it e a + b + cl S h o w e a c h w a y.@ 57. Reasoning S u p p o s e y o u k n o w t h a t a{b + c) = ab + ac is tru e fo r a ll
real n u m b e rs a, b, and c. U se th e p ro p e rtie s o f re a l n u m b e rs to p ro v e th a t
(,b + c)a = ba + ca is tru e fo r a ll real n u m b e rs a, b, and c.St an d ar d i ze d Test Pr ep
A^SAT/ACT 58. W h a t is t h e s i m p li f i e d f o r m o f (1 .2 + 0 ) + 4.6 + 3.8?
CA)1.2 C D 8.0 CO 8.4 CO 9-6- W h ic h e x p r e s s io n is e q u a l t o 3 • 3 • 8 • 8 • 3?
CD 3 • 8 CO 38 CO 33 • 82 CD 3 • 3 +^2 •^8 - T h e re a re f o u r p o in t s p lo t t e d o n th e n u m b e r l in e b e lo w.
J K L M
<10 1 ------•—•— |---- 1 ----
0 1 2 3 4 5 6
Which expression represents the greatest amount?
®M vI CD M-L CD/+IC CO l- k
61. L a n e 1 a t y o u r lo c a l t r a c k is 0 .2 5 m i lo n g. Y o u liv e 0 .5 m i a w a y f r o m t h e tr a c k. W h ic h
of the following results in the shortest jog?
CD jo g g in g 6 t im e s a r o u n d t h e t r a c k i n L a n e 1
CO j o g g in g t o th e t r a c k a n d t h e n 5 t im e s a r o u n d th e t r a c k i n L a n e 1
CO j o g g in g t o th e tr a c k , 3 t im e s a r o u n d t h e t r a c k i n L a n e 1 , a n d t h e n h o m e
CD jo g g in g 3 t im e s a r o u n d t h e t r a c k i n L a n e 1f Mixed Review
Order the numbers in each exercise from least to greatest. See Lesson 1-3.- -6, 63,1.6, V6 63. | , 1.4, - 1 7 , 102 64. 1.75, - 4 .5 , V 4 , 141
Get Ready! To p r e p a r e f o r Lesso n 1 -5 , do Exercises 65-68.
Find each sum or difference. See p. 803.65.3 + 11 66- | + | 67.9.7-8.6 68- | - ^28 Ch ap t er 1 Fo u n d a t i o n s f o r A l g e b r a