حلول الأسئلة

السؤال

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً.

الحل

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center center columnspacing 1em end attributes row 2 5 3 cell negative 1 end cell row cell negative 3 end cell 1 8 cell negative 3 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row cell negative 7 end cell 1 row 2 0 row cell negative 1 end cell 0 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 5 left parenthesis negative 7 right parenthesis plus 3 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis negative 3 right parenthesis plus 5 left parenthesis 1 right parenthesis plus 3 left parenthesis 0 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 0 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 6 right parenthesis plus 1 left parenthesis negative 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 3 right parenthesis plus 1 left parenthesis 1 right parenthesis plus 8 left parenthesis 0 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 0 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 16 end cell cell negative 1 end cell row cell negative 6 end cell 10 end table end cell blank end table close square brackets equals end cell end table

شاهد حلول جميع الاسئلة

حل أسئلة تأكد

تأكد

حدد إذا كانت عملية الضرب معرفة في كل مما يأتي أم لا؟ وإن كانت معرفة فأوجد رتبة المصفوفة الناتجة.

1)

A with _ below subscript 2 cross times 4 end subscript times B with _ below subscript 4 cross times 3 end subscript

معرفة 2 cross times 3

2)

C with _ below subscript 5 cross times 4 end subscript times D with _ below subscript 5 cross times 4 end subscript

غير معرفة.

3)

E with _ below subscript 8 cross times 6 end subscript times F with _ below subscript 6 cross times 10

معرفة 10 cross times 8

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً.

4)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 2 1 row 7 cell negative 5 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 6 end cell 3 row cell negative 2 end cell cell negative 4 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis negative 6 right parenthesis plus 1 left parenthesis negative 2 right parenthesis end cell cell 2 left parenthesis 3 right parenthesis plus 1 left parenthesis negative 4 right parenthesis end cell row cell 7 left parenthesis negative 6 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 7 left parenthesis 3 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis negative 4 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 14 end cell 2 row cell negative 32 end cell 41 end table end cell blank end table close square brackets equals end cell end table

5)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 10 cell negative 2 end cell row cell negative 7 end cell 3 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 1 4 row 5 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 10 left parenthesis 1 right parenthesis plus left parenthesis negative 2 right parenthesis left parenthesis 5 right parenthesis end cell cell 10 left parenthesis 4 right parenthesis plus left parenthesis negative 2 right parenthesis left parenthesis negative 2 right parenthesis end cell row cell left parenthesis negative 7 right parenthesis left parenthesis 1 right parenthesis plus 3 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 7 right parenthesis left parenthesis 4 right parenthesis plus 3 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 0 44 row 8 cell negative 34 end cell end table end cell blank end table close square brackets equals end cell end table

6)

left square bracket table attributes columnalign left left columnspacing 1em end attributes row 9 cell negative 2 end cell end table right square bracket times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 2 end cell 4 row 6 cell negative 7 end cell end table end cell blank end table close square brackets

left square bracket table attributes columnalign left left columnspacing 1em end attributes row cell negative 30 end cell 50 end table right square bracket equals

7)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 9 end cell row 6 end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left left columnspacing 1em end attributes row cell negative 1 end cell cell negative 10 end cell 1 end table right square bracket end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell left parenthesis negative 9 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 9 right parenthesis left parenthesis negative 10 right parenthesis end cell cell left parenthesis negative 9 right parenthesis left parenthesis 1 right parenthesis end cell row cell left parenthesis 6 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis 6 right parenthesis left parenthesis negative 10 right parenthesis end cell cell left parenthesis 6 right parenthesis left parenthesis 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 9 90 cell negative 9 end cell row cell negative 6 end cell cell negative 60 end cell 6 end table end cell blank end table close square brackets equals end cell end table

8)

open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 8 end cell 7 4 row cell negative 5 end cell cell negative 3 end cell 8 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 10 6 row 8 4 end table end cell blank end table close square brackets

غير معرفة.

9)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 2 8 row 3 cell negative 1 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row 6 row cell negative 7 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 8 left parenthesis negative 7 right parenthesis end cell row cell 3 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 7 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 44 end cell row 25 end table end cell blank end table close square brackets equals end cell end table

10)

table attributes columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 4 end cell 3 2 row cell negative 1 end cell cell negative 5 end cell 4 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 2 1 6 row 8 4 cell negative 1 end cell row 5 3 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell left parenthesis negative 4 right parenthesis 2 plus 3 left parenthesis 8 right parenthesis plus 2 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 4 right parenthesis left parenthesis 1 right parenthesis plus 3 left parenthesis 4 right parenthesis plus 2 left parenthesis 3 right parenthesis end cell cell left parenthesis negative 4 right parenthesis 6 plus 3 left parenthesis negative 1 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell row cell left parenthesis negative 1 right parenthesis 2 plus left parenthesis negative 5 right parenthesis 8 plus 4 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 1 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis 4 right parenthesis plus 4 left parenthesis 3 right parenthesis end cell cell left parenthesis negative 1 right parenthesis 6 plus left parenthesis negative 5 right parenthesis left parenthesis negative 1 right parenthesis plus 4 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 26 14 cell negative 31 end cell row cell negative 22 end cell cell negative 9 end cell cell negative 9 end cell end table end cell blank end table close square brackets equals end cell end table

11)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center center columnspacing 1em end attributes row 2 5 3 cell negative 1 end cell row cell negative 3 end cell 1 8 cell negative 3 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row cell negative 7 end cell 1 row 2 0 row cell negative 1 end cell 0 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 5 left parenthesis negative 7 right parenthesis plus 3 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis negative 3 right parenthesis plus 5 left parenthesis 1 right parenthesis plus 3 left parenthesis 0 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 0 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 6 right parenthesis plus 1 left parenthesis negative 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 3 right parenthesis plus 1 left parenthesis 1 right parenthesis plus 8 left parenthesis 0 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 0 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 16 end cell cell negative 1 end cell row cell negative 6 end cell 10 end table end cell blank end table close square brackets equals end cell end table

12) لياقة بدنية: يبين الجدول المجاور عدد المشتركين في دورات اللياقة البدنية في المستويين الأول والثاني لدى أحد مراكز اللياقة البدنية في مدينة الرياض إذا كانت رسوم الاشتراك الأسبوعي 110 ريالات ورسوم الاشتراك الشهري 165 ريال ورسوم الاشتراك السنوي 439 ريالاً.

الجدول

a) اكتب مصفوفة تمثل عدد الأشخاص المسجلين في المستويات كلها ومصفوفة تمثل رسوم الاشتراك فيها.

left square bracket table attributes columnalign left left left columnspacing 1em end attributes row 110 156 439 end table right square bracket times open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row 35 28 row 32 17 row 18 12 end table end cell blank end table close square brackets

b) ما المبلغ الكلي الذي يحصل عليه المركز من اشتراكات المستويين الأول والثاني.

المبلغ الكلي 110 left parenthesis 35 plus 28 right parenthesis plus 165 left parenthesis 32 plus 17 right parenthesis plus 439 left parenthesis 18 plus 12 right parenthesis equals

= 28185 ريالاً.

إذا كانت X with _ below equals space open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 cell negative 8 end cell end table end cell blank end table close square brackets comma space Y with _ below equals open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets space comma space Z with _ below equals open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell cell negative 1 end cell row cell negative 8 end cell cell negative 4 end cell end table end cell blank end table close square brackets فحدد ما إذا كانت المعادلات الآتية صحيحة للمصفوفات المعطاة.

13)

لا.

X with _ below Y with _ below equals Y with _ below X with _ below

table attributes columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 8 end table end cell blank end table close square brackets open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets equals X with _ below Y with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 10 right parenthesis left parenthesis negative 5 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 10 right parenthesis 6 plus left parenthesis negative 3 right parenthesis 9 end cell row cell 2 left parenthesis negative 5 right parenthesis plus left parenthesis negative 8 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis 6 right parenthesis plus left parenthesis negative 8 right parenthesis 9 end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 53 cell negative 87 end cell row cell negative 2 end cell cell negative 60 end cell end table end cell blank end table close square brackets equals X with _ below Y with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 cell negative 8 end cell end table end cell blank end table close square brackets equals Y with _ below X with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell left parenthesis negative 5 right parenthesis left parenthesis negative 10 right parenthesis plus 6 left parenthesis 2 right parenthesis end cell cell left parenthesis negative 5 right parenthesis left parenthesis negative 3 right parenthesis plus 6 left parenthesis negative 8 right parenthesis end cell row cell left parenthesis negative 1 right parenthesis left parenthesis negative 10 right parenthesis plus 9 left parenthesis 2 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis plus 9 left parenthesis negative 8 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 62 cell negative 33 end cell row 28 cell negative 69 end cell end table end cell blank end table close square brackets equals Y with _ below X with _ below end cell end table

واضح أن X with _ below Y with _ below not equal to Y with _ below X with _ below

14)

X with _ below left parenthesis Y with _ below Z with _ below right parenthesis equals left parenthesis X with _ below Y with _ below right parenthesis Z with _ below

نعم.

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open parentheses table row cell table attributes columnalign left left columnspacing 1em end attributes row 431 295 row 490 242 end table end cell blank end table close parentheses equals X with _ below left parenthesis Y with _ below Z with _ below right parenthesis end cell row blank cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row 431 295 row 490 242 end table end cell blank end table close square brackets equals left parenthesis X with _ below Y with _ below right parenthesis Z with _ below end cell end table

مشاركة الدرس

السؤال

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً.

الحل

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center center columnspacing 1em end attributes row 2 5 3 cell negative 1 end cell row cell negative 3 end cell 1 8 cell negative 3 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row cell negative 7 end cell 1 row 2 0 row cell negative 1 end cell 0 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 5 left parenthesis negative 7 right parenthesis plus 3 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis negative 3 right parenthesis plus 5 left parenthesis 1 right parenthesis plus 3 left parenthesis 0 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 0 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 6 right parenthesis plus 1 left parenthesis negative 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 3 right parenthesis plus 1 left parenthesis 1 right parenthesis plus 8 left parenthesis 0 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 0 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 16 end cell cell negative 1 end cell row cell negative 6 end cell 10 end table end cell blank end table close square brackets equals end cell end table

حل أسئلة تأكد

تأكد

حدد إذا كانت عملية الضرب معرفة في كل مما يأتي أم لا؟ وإن كانت معرفة فأوجد رتبة المصفوفة الناتجة.

1)

A with _ below subscript 2 cross times 4 end subscript times B with _ below subscript 4 cross times 3 end subscript

معرفة 2 cross times 3

2)

C with _ below subscript 5 cross times 4 end subscript times D with _ below subscript 5 cross times 4 end subscript

غير معرفة.

3)

E with _ below subscript 8 cross times 6 end subscript times F with _ below subscript 6 cross times 10

معرفة 10 cross times 8

أوجد الناتج في كل مما يأتي إذا كان ذلك ممكناً.

4)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 2 1 row 7 cell negative 5 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 6 end cell 3 row cell negative 2 end cell cell negative 4 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis negative 6 right parenthesis plus 1 left parenthesis negative 2 right parenthesis end cell cell 2 left parenthesis 3 right parenthesis plus 1 left parenthesis negative 4 right parenthesis end cell row cell 7 left parenthesis negative 6 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 7 left parenthesis 3 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis negative 4 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 14 end cell 2 row cell negative 32 end cell 41 end table end cell blank end table close square brackets equals end cell end table

5)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 10 cell negative 2 end cell row cell negative 7 end cell 3 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 1 4 row 5 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 10 left parenthesis 1 right parenthesis plus left parenthesis negative 2 right parenthesis left parenthesis 5 right parenthesis end cell cell 10 left parenthesis 4 right parenthesis plus left parenthesis negative 2 right parenthesis left parenthesis negative 2 right parenthesis end cell row cell left parenthesis negative 7 right parenthesis left parenthesis 1 right parenthesis plus 3 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 7 right parenthesis left parenthesis 4 right parenthesis plus 3 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 0 44 row 8 cell negative 34 end cell end table end cell blank end table close square brackets equals end cell end table

6)

left square bracket table attributes columnalign left left columnspacing 1em end attributes row 9 cell negative 2 end cell end table right square bracket times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 2 end cell 4 row 6 cell negative 7 end cell end table end cell blank end table close square brackets

left square bracket table attributes columnalign left left columnspacing 1em end attributes row cell negative 30 end cell 50 end table right square bracket equals

7)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 9 end cell row 6 end table end cell blank end table close square brackets times left square bracket table attributes columnalign left left left columnspacing 1em end attributes row cell negative 1 end cell cell negative 10 end cell 1 end table right square bracket end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell left parenthesis negative 9 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 9 right parenthesis left parenthesis negative 10 right parenthesis end cell cell left parenthesis negative 9 right parenthesis left parenthesis 1 right parenthesis end cell row cell left parenthesis 6 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis 6 right parenthesis left parenthesis negative 10 right parenthesis end cell cell left parenthesis 6 right parenthesis left parenthesis 1 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 9 90 cell negative 9 end cell row cell negative 6 end cell cell negative 60 end cell 6 end table end cell blank end table close square brackets equals end cell end table

8)

open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 8 end cell 7 4 row cell negative 5 end cell cell negative 3 end cell 8 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 10 6 row 8 4 end table end cell blank end table close square brackets

غير معرفة.

9)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 2 8 row 3 cell negative 1 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row 6 row cell negative 7 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 8 left parenthesis negative 7 right parenthesis end cell row cell 3 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 7 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center columnspacing 1em end attributes row cell negative 44 end cell row 25 end table end cell blank end table close square brackets equals end cell end table

10)

table attributes columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell negative 4 end cell 3 2 row cell negative 1 end cell cell negative 5 end cell 4 end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 2 1 6 row 8 4 cell negative 1 end cell row 5 3 cell negative 2 end cell end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row cell left parenthesis negative 4 right parenthesis 2 plus 3 left parenthesis 8 right parenthesis plus 2 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 4 right parenthesis left parenthesis 1 right parenthesis plus 3 left parenthesis 4 right parenthesis plus 2 left parenthesis 3 right parenthesis end cell cell left parenthesis negative 4 right parenthesis 6 plus 3 left parenthesis negative 1 right parenthesis plus 2 left parenthesis negative 2 right parenthesis end cell row cell left parenthesis negative 1 right parenthesis 2 plus left parenthesis negative 5 right parenthesis 8 plus 4 left parenthesis 5 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 1 right parenthesis plus left parenthesis negative 5 right parenthesis left parenthesis 4 right parenthesis plus 4 left parenthesis 3 right parenthesis end cell cell left parenthesis negative 1 right parenthesis 6 plus left parenthesis negative 5 right parenthesis left parenthesis negative 1 right parenthesis plus 4 left parenthesis negative 2 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center center columnspacing 1em end attributes row 26 14 cell negative 31 end cell row cell negative 22 end cell cell negative 9 end cell cell negative 9 end cell end table end cell blank end table close square brackets equals end cell end table

11)

table attributes columnalign right columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center center center columnspacing 1em end attributes row 2 5 3 cell negative 1 end cell row cell negative 3 end cell 1 8 cell negative 3 end cell end table end cell blank end table close square brackets times open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 6 cell negative 3 end cell row cell negative 7 end cell 1 row 2 0 row cell negative 1 end cell 0 end table end cell blank end table close square brackets end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell 2 left parenthesis 6 right parenthesis plus 5 left parenthesis negative 7 right parenthesis plus 3 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis negative 3 right parenthesis plus 5 left parenthesis 1 right parenthesis plus 3 left parenthesis 0 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 0 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis left parenthesis 6 right parenthesis plus 1 left parenthesis negative 7 right parenthesis plus 8 left parenthesis 2 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 3 right parenthesis left parenthesis negative 3 right parenthesis plus 1 left parenthesis 1 right parenthesis plus 8 left parenthesis 0 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis 0 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 16 end cell cell negative 1 end cell row cell negative 6 end cell 10 end table end cell blank end table close square brackets equals end cell end table

12) لياقة بدنية: يبين الجدول المجاور عدد المشتركين في دورات اللياقة البدنية في المستويين الأول والثاني لدى أحد مراكز اللياقة البدنية في مدينة الرياض إذا كانت رسوم الاشتراك الأسبوعي 110 ريالات ورسوم الاشتراك الشهري 165 ريال ورسوم الاشتراك السنوي 439 ريالاً.

الجدول

a) اكتب مصفوفة تمثل عدد الأشخاص المسجلين في المستويات كلها ومصفوفة تمثل رسوم الاشتراك فيها.

left square bracket table attributes columnalign left left left columnspacing 1em end attributes row 110 156 439 end table right square bracket times open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row 35 28 row 32 17 row 18 12 end table end cell blank end table close square brackets

b) ما المبلغ الكلي الذي يحصل عليه المركز من اشتراكات المستويين الأول والثاني.

المبلغ الكلي 110 left parenthesis 35 plus 28 right parenthesis plus 165 left parenthesis 32 plus 17 right parenthesis plus 439 left parenthesis 18 plus 12 right parenthesis equals

= 28185 ريالاً.

إذا كانت X with _ below equals space open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 cell negative 8 end cell end table end cell blank end table close square brackets comma space Y with _ below equals open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets space comma space Z with _ below equals open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell cell negative 1 end cell row cell negative 8 end cell cell negative 4 end cell end table end cell blank end table close square brackets فحدد ما إذا كانت المعادلات الآتية صحيحة للمصفوفات المعطاة.

13)

لا.

X with _ below Y with _ below equals Y with _ below X with _ below

table attributes columnspacing 1em end attributes row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 8 end table end cell blank end table close square brackets open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets equals X with _ below Y with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell left parenthesis negative 10 right parenthesis left parenthesis negative 5 right parenthesis plus left parenthesis negative 3 right parenthesis left parenthesis negative 1 right parenthesis end cell cell left parenthesis negative 10 right parenthesis 6 plus left parenthesis negative 3 right parenthesis 9 end cell row cell 2 left parenthesis negative 5 right parenthesis plus left parenthesis negative 8 right parenthesis left parenthesis negative 1 right parenthesis end cell cell 2 left parenthesis 6 right parenthesis plus left parenthesis negative 8 right parenthesis 9 end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 53 cell negative 87 end cell row cell negative 2 end cell cell negative 60 end cell end table end cell blank end table close square brackets equals X with _ below Y with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 5 end cell 6 row cell negative 1 end cell 9 end table end cell blank end table close square brackets open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row cell negative 10 end cell cell negative 3 end cell row 2 cell negative 8 end cell end table end cell blank end table close square brackets equals Y with _ below X with _ below end cell row blank row cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row cell left parenthesis negative 5 right parenthesis left parenthesis negative 10 right parenthesis plus 6 left parenthesis 2 right parenthesis end cell cell left parenthesis negative 5 right parenthesis left parenthesis negative 3 right parenthesis plus 6 left parenthesis negative 8 right parenthesis end cell row cell left parenthesis negative 1 right parenthesis left parenthesis negative 10 right parenthesis plus 9 left parenthesis 2 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis plus 9 left parenthesis negative 8 right parenthesis end cell end table end cell blank end table close square brackets equals end cell row blank row cell open square brackets table row cell table attributes columnalign center center columnspacing 1em end attributes row 62 cell negative 33 end cell row 28 cell negative 69 end cell end table end cell blank end table close square brackets equals Y with _ below X with _ below end cell end table

واضح أن X with _ below Y with _ below not equal to Y with _ below X with _ below

14)

X with _ below left parenthesis Y with _ below Z with _ below right parenthesis equals left parenthesis X with _ below Y with _ below right parenthesis Z with _ below

نعم.

table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell open parentheses table row cell table attributes columnalign left left columnspacing 1em end attributes row 431 295 row 490 242 end table end cell blank end table close parentheses equals X with _ below left parenthesis Y with _ below Z with _ below right parenthesis end cell row blank cell open square brackets table row cell table attributes columnalign left left columnspacing 1em end attributes row 431 295 row 490 242 end table end cell blank end table close square brackets equals left parenthesis X with _ below Y with _ below right parenthesis Z with _ below end cell end table