Algebra 1 Common Core Student Edition, Grade 8-9

The cross product o f t w o s e ts A a nd B, denoted by A X B, is the set o f a ll ordered

p a ir s w i t h t h e f i r s t e le m e n t i n A a n d w i t h th e s e c o n d e le m e n t i n B. In set-builder

notation, you write:

A X B = { (a, b) | a is an elem ent o f A, b is a n e le m e n t o f B}

For example, suppose A = {1, 2 } and B = {7,10,12}. Then:

A X B = {(1, 7), (1,10), (1,12), (2, 7), (2, 10), (2, 12)}

Given sets A and B, find A x B.

40. A = {1,2,3}, B= {-3 , -2, -1 ,0} 41. A = {tt, 2tt, 3-tt, 4 it} , B = { 2 , 4 }


41. A = {grape, apple, orange}, B = {ja m , ju ic e } 43. A = {reduce, reuse, recycle}, B = {plastic}

Challenge 44. U s e a V e n n d ia g r a m t o d e t e r m in e w h e t h e r t h e s ta t e m e n t {A PI B)' = A' D B' is

true o r false.

45. Reasoning Is th e s ta te m e n t 04 U B) f l C = A U {B f l C ) always, sometimes, or
    never t r u e? J u s t i f y y o u r a n s w e r.

^SAT/ACT

Short

, R esp o n se

St a n d a r d i ze d Test Pr ep

46. SetX = {jc| xis a f a c t o r o f 1 2 } a n d s e t Y= {y|y is a f a c t o r o f 16}. W h ic h set
    represents x n Y?
    (A > 0 C D {1,2,4} CD {0, 1 ,2,4} CD {1,2,3,4,6,8,12,16}


47. W h ic h c o m p o u n d in e q u a l i t y is e q u iv a le n t t o | x + 4 | < 8?
    CD-12<x<4 CED ~12 > x > 4
    CDx<-12orx>4 CD x>-12 orx< 4


48. S u p p o s e y o u e a r n $ 8 0 p e r w e e k a t y o u r s u m m e r jo b. Y o u r e m p lo y e r o ffe r s y o u a $2 0
    r a is e o r a 2 0 % ra is e. W h ic h s h o u ld y o u ta k e? E x p la in.

A

Mixed Review

Solve each equation or inequality.

49. |x| = 4 50. \n\ + 7 = 9


50. |4d|<20 54. |x -3 |> 7
    51. 4|/-5| = 12
    55. \2w -+- 6 1 > 24

Tell whether the ordered pair is a solution to the given equation.

57. x + 3 = y; (1,4) 58. 2 x - 5 = y ; ( - 1 , 8 )

Get Read y! To p r e p a r e f o r Lesso n 4 - 1 , d o Ex e r c i se s 6 0 - 6 3.

Graph each point on the same coordinate grid.

60. (1,4) 61. (-1,-5) 62. (3,-6)

4*' See Lesson 3-7.

52. 3 13y + 2 1 = 18


53. 2 13x| +1=9

4/p See Lesson 1-9.

59. ix + 7 = y ; ( 8 , 11 )

See Review p. 60.

63. ( - 2 , 1 )

2 2 0 Chapter 3 Solving Inequalities