Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
Simplify each expression.


  1. 1 — | ~ | | 50. 7 + (2 2 - 32) 51. -2 .1 - [2 .3 - ( 3 .5 - ( - 1 .9 ) ) ]


0 52. Think About a Plan In golf, the expected num ber o f strokes is called
"par.” W h e n th e n u m b e r o f strokes ta k e n is m o re th a n par, y o u r
s c o re is p o s itiv e. W h e n th e n u m b e r o f s tro k e s is le s s t h a n p a r, y o u r
s c o re is n e g a tiv e. T h e lo w e s t s c o re w in s.

T h e s c o r e c a r d s h o w s p a r a n d o n e g o lf e r ’s s c o re f o r th e f i r s t f o u r
h o le s p la y e d o n a n in e - h o le g o lf c o u rs e. T h e g o lf e r ’s s c o re s o n th e
r e m a in in g fiv e h o le s a re - 1 , 0, - 1 , + 1 , 0. P a r f o r t h e n in e h o le s
is 36. W h a t is th e g o lf e r ’s t o t a l n u m b e r o f s tro k e s f o r t h e n in e h o le s?


  • C a n y o u s o lv e t h e p r o b le m b y a d d in g t h e s tro k e s ta k e n o n e a c h
    hole?

  • H o w is t h e s u m o f th e g o lf e r ’s s c o re s r e la t e d t o th e t o t a l n u m b e r o f s tro k e s ta k e n?


(^R easoning Use reasoning to determine whether the value of each expression is
posi t i ve or negat i ve. Do not calculate the exact answers.


  1. -2 2 5 + 318 54. -| + | 55. 34.5 + 12.9 - 50


» 56. Temperature Scales The K elvin tem perature scale is related to the degrees Celsius
(°C ) te m p e ra tu re scale b y th e fo rm u la x = 273 + y, w here x i s t h e n u m b e r o f
kelvins and y is t h e t e m p e r a t u r e i n d e g re e s C e ls iu s. W h a t is e a c h t e m p e r a t u r e
in kelvins?
a. —2 2 ° C b. 0°C c. — 3 2 ° C
@ 57. Writing E x p la in h o w y o u c a n t e l l w i t h o u t c a lc u la t in g w h e t h e r t h e s u m o f a p o s it iv e
n u m b e r a n d a n e g a tiv e n u m b e r w i l l b e p o s itiv e , n e g a tiv e , o r z e ro.


Decide whether each statement is true or false. Explain your reasoning.


  1. T h e s u m o f a p o s it iv e n u m b e r a n d a n e g a tiv e n u m b e r is a lw a y s n e g a tiv e.

  2. The difference of two numbers is always less than the sum of those two numbers.

  3. A n u m b e r m in u s its o p p o s it e is t w ic e th e n u m b e r.

  4. Meteorology Weather forecasters use a barometer to measure air pressure and
    m a k e w e a t h e r p r e d ic t io n s. S u p p o s e a s ta n d a r d m e r c u r y b a r o m e t e r r e a d s 2 9 .8 in.
    T h e m e r c u r y r is e s 0 .0 2 in. a n d t h e n f a lls 0 .0 9 in. T h e m e r c u r y f a lls a g a in 0 .1 8 in.
    b e fo r e r is in g 0 .0 7 in. W h a t is th e f i n a l r e a d in g o n t h e b a r o m e te r?

  5. Multiple Choice Which expression is equivalent to x - y?
    CS)y-x <3Dx-[-y) C 2 D x + ( - y ) C E ) y + ( - x )

  6. Chemistry A t o m s c o n t a in p a r t ic le s c a lle d p r o t o n s a n d e le c tr o n s. E a c h p r o t o n
    h a s a c h a rg e o f + 1 a n d e a c h e le c t r o n h a s a c h a rg e o f - 1. A c e r t a in s u lf u r i o n h a s
    18 e le c tr o n s a n d 16 p r o t o n s. T h e c h a r g e o n a n i o n is t h e s u m o f th e c h a rg e s o f its
    p r o t o n s a n d e le c tr o n s. W h a t is th e s u lf u r i o n ’s c h a rg e?


Golf Scorecard
Number
of Strokes
4 6 +2
4 3 -1

(^330)
5 3
~2

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