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一元一次不等式组单元测试题2含答案

一元一次不等式组单元测试题2含答案
一元一次不等式组单元测试题2含答案

一元一次不等式(组)单元测试题

一、选择题(每题3分,共30分)

1、下列不等式中,是一元一次不等式的是( )

A 、x 1 +1>2

B 、x 2>9

C 、2x +y ≤5

D 、2

1 (x -3)<0 2、|a |+a 的值一定是( )

(A)、大于零 (B)、小于零 (C)、不大于零 (D)、不小于零

3、不等式2x <4的解都能使关于x 的一次不等式(a ﹣1)x <a+5成立,则a 的取值范围是( )

A 、1<a≤7

B 、a≤7

C 、a <1或a≥7

D 、a=7

4、若关于x 的方程3x +2m =2的解是正数,则m 的取值范围是( )

A 、m >1

B 、m <1

C 、m ≥1

D 、m ≤1

5、如果不等式组213(1)x x x m ->-??

的解集是x <2,那么m 的取值范围是( ) A 、m=2 B 、m >2 C 、m <2 D 、m≥2

6、如果a <0,b >0,a +b <0,那么下列关系式中正确的是( )

A 、a >b >-b >-a

B 、a >-a >b >-b

C 、b >a >-b >-a

D 、-a >b >-b >a

7、已知x=m+15,y=5-2m ,若m >-3,则x 与y 的关系为( )

A 、x=y

B 、x >y

C 、x <y

D 、不能确定

8、某抢险地段需实行爆破.操作人员点燃导火线后,要在炸药爆炸前跑到400米以外的安全区域、已知导火线的燃烧速度是1.2厘米/秒,操作人员跑步的速度是5米/秒.为了保证操作人员的安全,导火线的长度要超过( )

A 、66厘米

B 、76厘米

C 、86厘米

D 、96厘米 9、若1-=a a

,则a 只能是 ( )

A .1-≤a

B .0

C .1-≥a

D .0≤a

10、已知ax <2a (a ≠0)是关于x 的不等式,那么它的解集是( )

A.、x <2 B 、x >-2 C 、当a >0时,x <2 D 、a >0时,x <2;当a <0时,x >2

二、填空题(每题4分,共36分)

11、关于x 的不等式3x ﹣a≤0,只有四个正整数解,则a 的取值范围是 。

12、若不等式组?

??>-<-3212b x a x 的解集为11<<-x ,那么)3)(3(+-b a 的值等于_______。 13、如果关于x 的不等式5)1(+<-a x a 和42

14、若不等式组???->+<1

21m x m x 有解,则 m 的取值范围 。 15、已知b <a <0,则ab ,a2,b2的大小为 。

16、若三个连续正奇数的和不大于27,则这样的奇数组有 组。

17、已知△ABC 有两边的长分别为5和7,第三边的长是关于x 的方程

解,则a 的取值范围 。

18、若不等式组有解,那么不等式组的解是 。

19、若关于x 的方程组???-=++=+1

34123p y x p y x 的解满足x >y ,则P 的取值范围是_______

三、解不等式或组(每题5分,共20分)

(20)、)1(2)3(410-≤--x x (21)、93621≤-<-x

(22)、 ?????≤--<+2123932x x (23)、?????<--+->++-.,021331215)1(2)5(7x x x x

四、应用题(共34分)

24、(10分)某次数学竞赛活动,共有20道选择题,评分办法是:答对一题给4分,不答或答错一题倒扣2分,那么这个学生至少答对多少题,成绩才能在60分以上?

25、(12分)、某商场准备进一批两种不同型号的衣服,已知购进A 种型号衣服9件,B 种型号衣服10件,则共需1810元;若购进A 种型号衣服12件,B 种型号衣服8件,共需1880元;已知销售一件A 型号衣服可获利18元,销售一件B 型号衣服可获利30元,要使在这次销售中获利不少于699元,且A 型号衣服不多于28件.

(1)求A 、B 型号衣服进价各是多少元?

(2)若已知购进A 型号衣服是B 型号衣服的2倍还多4件,则商店在这次进货中可有几种方案并简述购货方案.

26、(12分)、我市移动通讯公司开设了两种通讯业务,A 类是固定用户:先缴25元基础费,然后每通话1分钟再付话费0.2元;B 类是“神州行”用户:使用者不缴月租费,每通话1分钟会话费0.3元(这里均指市内通话);若果一个月内通话时间为x 分钟。

(1)你选用哪种通讯业务?

(2)若某人话费165元,他应选择哪种方式合算?

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