Algebra 1 Common Core Student Edition, Grade 8-9

60. Open-Ended W rite an inequality th a t can b e solved by dividing by a negative
    n u m b e r a n d h as the solution x < |.

61. Pat t er n s C onsider th e p a tte rn of inequalities § < 10, § < 10, | < 10,...

S uppose a real n u m b e r a is a solution of a certain inequality in th e p attern. W hat

oth er inequalities in th e p a ttern do you know have a as a solution? Explain.

) 62. Reasoning If ax < ay and ay < az, is x < z? Explain.

Ch al l en g e 63. Bask et b al l A com pany sells m e n ’s basketballs w ith a circum ference of 29.5 in.

They also sell youth basketballs w ith a circum ference of 27.75 in. The com pany has

cu b e-sh ap ed packaging boxes w ith edges th a t are eith er 8 in., 9 in., or 10 in. long.

W hat is th e sm allest box in w hich each ball can b e packaged?

UU2) 64. Construction A contractor is b uilding a rectangular walkway 3^ ft w ide by 35 ft

long using square cem en t pavers. Each paver h as an area of | ft2. W hat is th e least

n u m b e r of pavers h e n ee d s to m ake th e walkway?

^SAT/ACT

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

65. The m ayor of R enee’s tow n chose 160 stu d en ts from h e r school to atten d a city
    debate. This a m o u n t is no m ore th a n | of th e stu d en ts in R enee’s school. W hat is
    th e least possible n u m b e r of stu d en ts th a t a tten d R enee’s school?
    CD 40 CD 160 CD 320 CD 640

66. An art teac h er h as a box of 100 m arkers. The teac h er gives 7 m arkers to each

stu d en t in th e class a n d h as 16 m arkers left over. How m any stu d en ts are in

th e class?

CD 11 C D 12 CD 13 CD 14

A

Short
, R e s p o n s e

67. The w idth of a rectangle is 3 in. sh o rter th a n th e length. The p erim e te r of the
    rectangle is 18 in. W hat is th e length of th e rectangle? Show your work.

Mixed Review

Solve each inequality.

68. x+ 5 < -6

71.|> | + c

4/ B See Lesson 3-2.

69. y- 4.7 > 8.9
    72. - f <4 + 1
    70. q- 5 < 0
    73. y-21 <54

Get Read y! To p r e p a r e f o r Le sso n 3 - 4 , d o Ex e r c i se s 7 4 - 7 6.

Solve each equation. Se e Lesso n 2- 3.

74. -x + 8 + 4jc = 14 75. -6(2y+2) = 12 76. 0.5f + 3.5 - 2.5f = 1.5f

Lesso n 3- 3 Solving Inequalit ies Using M ult ip licat io n or Division 183