Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

Lesso n Ch eck


Do y o u k n o w H OW?
Find each product. Simplify, if necessary.


  1. —3(—12) 2. g(_ g)


Find each quotient. Simplify, if necessary.


  1. -4 8 -3 4. 10 +H)


MATHEMATICAL
Do yo u UN DERSTAND? l< 2 * PRACTICES


  1. Vocabulary W h a t is th e r e c ip r o c a l o f —|?

  2. R e a s o n i n g U s e a n u m b e r l in e t o e x p la in w h y
    -1 5 -3 = -5.

  3. Reasoning D e t e r m in e h o w m a n y r e a l s q u a r e r o o ts
    each num ber has. Explain your answers.
    a. 49 b. 0


Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses


Practice Find each product. Simplify, if necessary.

8. - 8 ( 12 ) 9. 8 ( 12 )

MATHEMATICAL
PRACTICES


  1. 7(—9)


See Problem 1.


  1. 5 • 4.1

  2. -7 • 1.1 13. 10(—2.5) 14. 6 (-L ) 15.4H )


16 - 2. - 9 -IDl 7 10 1 *- (-D 2 19. (-1.2)2

Simplify each expression. 4/ b See Problem 2.


  1. V400 21. VI69 22 .— V l 6 23. -V900 24 \ / 5 6V 49


25- - \ / l 26. - V? 27- 28. ± VL96 29. ±V(T25

Find each quotient. Simplify, if necessary. 4b See Problem 3.


  1. 48-3 31. -84-14 32. -39 -(-1 3 ) 33.-21^63

  2. -46 - (-2) 35. -8.1 - 9 36. n~121 37. 75- (-0.3)

  3. Scuba Diving A s c u b a d iv e r ’s v e r t ic a l p o s it io n i n r e la t io n t o t h e s u r fa c e o f th e
    w a t e r c h a n g e s b y —9 0 f t i n 3 m in. W h a t is th e a v e ra g e c h a n g e i n th e d iv e r ’s v e r t ic a l
    position each minute?

  4. Part-Time Job Y o u e a r n t h e s a m e a m o u n t e a c h w e e k a t y o u r p a r t - t im e jo b. T h e
    t o t a l a m o u n t y o u e a r n i n 4 w e e k s is $ 4 6 0. H o w m u c h d o y o u e a r n p e r w e e k?


Find each quotient. Simplify, if necessary.


  1. 20 - | 41. -5+ ( -! ) 42. 10
    *N)


4b See Problem 4.

Find the value of the expression | for the given values of x and y. Write your
answer in the simplest form.


  1. x = 45. x= —~,y- 46. x = ^-,y =^2021


43 _12^12
13 ' 13

47.* = § ; y = §

42 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

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