Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
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Do y o u k n o w H OW?


W r i t e a n i n e q u a l i t y f o r e a c h g r a p h.


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-1 2 -1 0

-4 -0 I
-8 -6

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-4 -2

—i— i—
0 2

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4

-2 -1 0 1 2 34 5 6

-6 -5


  • ro
    I


  • I -2 -1 0 1 2




-3 -2 -1 01 23 4 5

4.

Solve each inequality. Graph the solutions.


  1. z + 7 < 9

  2. —| x < 2

  3. 5 w £ —6w + 11



    • | ( m - 2) < 21



  4. \x — 5| > 3

  5. 9<6-h< 12

  6. 4 + 3n > 1 or -5n > 25

  7. 1 0 f c < 7 5 a n d 4 - f c < 0


List the subsets of each set.



  1. {1,3, 5, 7} 14. {re d , blue, y e llo w }

  2. Quality Control A m a n u f a c t u r e r is c u t t in g f a b r ic
    i n t o r e c ta n g le s t h a t a re 1 8 .5 5 in. lo n g b y 3 6 .7 5 in.
    w id e. E a c h re c ta n g le 's le n g t h a n d w i d t h m u s t b e
    within 0.05 in. of the desired size. Write and solve
    in e q u a lit ie s t o f i n d th e a c c e p ta b le r a n g e f o r t h e
    le n g t h € a n d th e w i d t h w.


Write a compound inequality that each graph
could represent.
16.


17.

4- 4- H 1------0 I"
-1 0 -8 -6 -4 -2


  1. Multiple Choice Suppose A = {x | x > — 1 } and
    B = {x | — 3 < x < 2 }. W h ic h s ta t e m e n t is tru e?
    <X? AU£={}
    OD A' = {x|x< —1}
    CO A n B= {jc I -1 <x<^2 }
    CO B C {x | x < 2}


Solve each equation. Check your solution.


  1. |4Jt — 2\ = 11 20. 23 = |n + 10|

  2. |3 c + l|- 4 = 13 22. 4|5-f|=20

  3. Fundraising A d r a m a c lu b w a n t s t o r a is e a t le a s t
    $ 5 0 0 i n t ic k e t s a le s f o r it s a n n u a l s h o w. T h e m e m b e r s
    of the club sold 50 tickets at a special $5 rate. The
    u s u a l t ic k e t p r ic e th e d a y o f th e s h o w is $ 7 .5 0. A t
    le a s t h o w m a n y tic k e t s d o t h e y h a v e t o s e ll t h e d a y o f
    t h e s h o w t o m e e t t h e g o a l?

  4. O f 145 r u n n e r s , 7 2 r u n o n ly o n w e e k e n d s a n d 6 3 r u n
    o n b o t h w e e k e n d s a n d d u r i n g t h e w e e k. H o w m a n y
    o f th e r u n n e r s r u n o n l y d u r i n g th e w e e k?


Do You UN DERSTAND?



  1. Open-Ended W r it e a n a b s o lu te v a lu e i n e q u a lit y t h a t
    has 3 and —5 as tw o o f its solutions.

  2. Writing Compare and contrast the M ultiplication
    Property of Equality and the M ultiplication Property
    of Inequality.

  3. Describe the region
    la b e le d C in te rm s o f
    set A and set B.

  4. Suppose set A has
    9 elem ents. W h a t is
    th e greatest n u m b e r
    of elements a subset
    o f A c a n h a v e?


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