Algebra 1 Common Core Student Edition, Grade 8-9

Ch all en g e 50. Reasoning W ithout listing each su b set of a set, how can you d eterm in e th e

n u m b e r of subsets th a t th e set has?

Use your answer from Exercise 50. Determine how many subsets each set has.

51. R = {positive even n u m b e rs less th a n 20} 52. Q = {o}

^SAT/ACT

St an d ar d i zed Test Pr ep

53. Let th e universal set be U = {x \ x is a n atu ra l n u m b e r} , an d let
    set E = {2,4, 6, 8,... }. W hat is E ’l
    C D { l, 3, 5, 7,... } CCD {all positive integers}
    CD { 0 , 2 , 4, 6, 8,... } CD { 2 , 4, 6, 8,... }


54. W hich set represents the solutions of —9x + 17 s —64?
    CD{| — 9} GD{| —9} CBD |x |x < -y | \x\x< C T )|x|x>-^|


55. In the diagram below, A ABC ~ A EFG. W hat is FG1

Short
, R e s p o n s e

7 cm

CA5 3^8

A 5 cm C

ClDef CCD 11

56. W hat is th e least w h o le-n u m b e r solution of - 10n < 5?
    CD-I CGDO CBD 1

CD 121

CD 2

57. M um's Florist sells two dozen roses for $24.60. First Flowers Florist sells 6 roses for
    $7.50. W hich florist has th e low er cost p er rose? Explain.

Mixed Review

Solve each inequality.

58. 3b + 2 > 26 59. 2(7 + 2) — 37 > - 1

Se e Le sso n 3- 4.

60. 6z — 15 < 4z + 11

Evaluate each expression for the given value of the variable.

61. 3n — 6; n = 4 62. 7 — 2b; b = 5

Get Read y! To p r e p a r e f o r Le sso n 3-6, do Exercises 64-66.

Graph each pair of inequalities on one number line.

64. c<8;c> 10 65. 7 > - 2 ; 7 < - 5

Se e Lesso n 1- 2.

63. d = 9

See Lesso n 3- 1.

66. m ^ 7; m > 12

c

Po w erAlg eb ra.com [ Lesso n 3-5 Working With Sets^199