Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

Apply 48. Think About a Plan A lu m b e r ja c k c u ts 7 p ie c e s o f e q u a l le n g t h
f r o m a lo g , as s h o w n a t t h e r ig h t. W h a t is th e c h a n g e i n th e l o g ’s
le n g t h a fte r 7 c u ts?



  • W h a t o p e r a t io n c a n y o u u s e t o f i n d th e a n s w e r?

  • W i l l y o u r a n s w e r b e a p o s it iv e v a lu e o r a n e g a tiv e
    v a lu e? H o w d o y o u k n o w?



  1. Farmer's M arket A f a r m e r h a s 120 b u s h e ls o f b e a n s fo r sale a t a fa rm e r's m a rk e t.
    He sells an average of 15| bushels each day. After 6 d a y s , w h a t is th e c h a n g e i n t h e
    to ta l n u m b e r o f bushels the fa rm e r has fo r sale at the fa rm e r’s m arket?

  2. Stocks T h e p r ic e p e r s h a re o f a s to c k c h a n g e d b y - $ 4. 5 0 o n e a c h o f 5 c o n s e c u tiv e
    d a y s. I f th e s t a r t in g p r ic e p e r s h a re w a s $ 6 7 .5 0 , w h a t w a s t h e e n d in g p ric e?


@ Open-Ended Write an algebraic expression that uses x, y, and z and simplifies
to the given value when x = -3, y = - 2, and z = - 1. The expression should
involve only multiplication or division.


  1. -16 52. 1 53. 12


2 }ft^

ii l i m y


Evaluate each expression for m = — 5, n = ^ and p = — 8.



  1. —7 m — lO n 55. —3 mnp

  2. 8 n = (-6p) 57. 2 p2{-n) m

  3. Look for a Pattern E x te n d t h e p a t t e r n i n t h e d ia g r a m to s ix fa c to r s o f



      1. W h a t r u le d e s c r ib e s t h e s ig n o f th e p r o d u c t b a s e d o n th e n u m b e r o f
        negative factors?





  4. Temperature The form ula F = |c + 32 changes a temperature reading
    fro m the Celsius scale C to the F ahrenheit scale F. W h a t is th e t e m p e r a t u r e
    measured in degrees Fahrenheit when the Celsius temperature is—25°C?


-2 (-2 ) = 4


  • 2 (- 2 )(- 2 ) = -8

  • 2 (- 2 )(- 2 )(- 2 ) = 16



  1. Reasoning Suppose a a n d b are in te g e rs. D e s c rib e w h a t v a lu e s o f a a n d b m a k e th e
    s t a te m e n t t r u e.
    a. Quotient | is positive. b. Quotient | is negative,


c. Quotient | is equal to 0. d. Quotient | is undefined.


  1. W riting E x p la in h o w to f i n d t h e q u o t i e n t o f - 1 | a n d —2 .

  2. Reasoning D o y o u t h i n k a n e g a tiv e n u m b e r r a is e d t o a n
    p o s it iv e o r n e g a tiv e? E x p la in.

  3. History The R hind Papyrus is one of the best-know n
    examples of Egyptian m athem atics. One problem
    solved on the R hind Papyrus is 100 = l. W hat is the
    solution of this problem?


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