- Open-Ended S u p p o s e y o u u s e d t h e D is t r ib u t iv e P r o p e r t y to g e t t h e e x p r e s s io n
3 m — 6 n — 15. W ith w hat expression could you have started?
Challenge 84. Writing Y o u r f r ie n d u s e s th e o r d e r o f o p e r a t io n s to f i n d th e v a lu e o f 1 1 (3 9 - 3 ).
W o u ld y o u p r e f e r t o u s e th e D is t r ib u t iv e P r o p e r t y in s te a d? E x p la in.
Simplify each expression.- 5(2d + 1) + 7(5d + 3)
- 4 ( r + 8 ) - 5 ( 2 r - 1)
86. 6 ( 4 f - 3 ) + 6 (4 - 31)- -(m + 9n — 12 )
87. 9(5 + t) - 7{t + 3)
90. -6 (3 - 3x - 7y) + 2y - x
^8? Apply What You've Learned MATHEMATICALPRACTICES
MP 2
L o o k b a c k a t t h e i n f o r m a t i o n o n p a g e 3 a b o u t t h e w a lk o f fa m e N a o m i is
d e s ig n in g. I n th e A p p ly W h a t Y o u ’v e L e a r n e d i n L e s s o n 1-1 , y o u d e t e r m in e d
the re la tio n s h ip betw een n, th e n u m b e r o f n a m e s o n e a c h s id e o f th e w a lk , a n d
e a c h ty p e o f t ile i n th e d e s ig n. Y o u w r o t e a lg e b r a ic e x p re s s io n s to r e p r e s e n t
these re la tio n sh ip s.a. U s in g th e e x p r e s s io n y o u w r o t e f o r t h e n u m b e r o f t ile s w i t h n a m e s in s c r ib e d o n
th e m , w r it e a n d s im p li f y a n e x p r e s s io n f o r t h e t o t a l c o s t o f th e in s c r ib e d tile s. L is t
th e p r o p e r t ie s y o u u s e d t o s im p li f y th e e x p re s s io n.
b. U s in g th e e x p r e s s io n y o u w r o t e f o r t h e n u m b e r o f p la i n tile s , w r it e a n d s im p lif y
a n e x p r e s s io n f o r t h e t o t a l c o s t o f th e p l a i n t ile s. L is t t h e p r o p e r t ie s y o u u s e d to
sim plify the expression.W r it e a n d s im p li f y a n e x p r e s s io n f o r t h e t o t a l c o s t o f a ll o f th e tile s. S h o w y o u r w o r k.52 Chapter 1 Fo u n d a t i o n s f o r A l g e b r a