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G6/2ND/ALGEBRA/UNIT#01

Total questions: 131

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

Choose the correct answer:

∣−5∣+3 ...... Z\left|-5\right|+3\ ......\ Z

a)

∈\in

b)

∉\notin

c)

⊂\subset

d)

⊄\not\subset

2.

Choose the correct answer:

Z-N= ....

a)

N

b)

Z+Z^+

c)

Z−Z^-

d)

ϕ\phi

3.

Choose the correct answer:

Φ .......{a,b}

a)

∈\in

b)

∉\notin

c)

⊂\subset

d)

⊄\not\subset

4.

Choose the correct answer:

The multiplicative in Z added to 99=?

a)

0

b)

1

c)

99

d)

100

5.

Write the following sets using the listing method:

- set of negative integers where the absolute value of each is greater than 4

(a)  

6.

Write the following sets using the listing method:

- set of non negative odd integers

(a)  

7.

Write the following sets using the listing method:

- set of non positive even integers

(a)  

8.

Write the following sets using the listing method:

- set of non positive even integers

(a)  

9.

Write the previous and the next integer for each of the following:

-9

(a)  

10.

Write the previous and the next integer for each of the following:

13

(a)  

11.

Write the previous odd and the next even integer for each of the following:

-3

(a)  

12.

Use the properties of addition to find :

8 + 20 + (-8)

4 lines
13.

Use the properties of addition to find :

22 + (-13) + (-22) + 3

4 lines
14.

If a + (-5) = b + a, then b= ...

(a)  

15.

If a + b = b , then a= ...

(a)  

16.

If b is the additive inverse of a, then a + (a)   = 0

17.

Z is closed under addition operation

a)

TRUE

b)

FALSE

18.

the additive identity in Z is one

a)

TRUE

b)

FALSE

19.

Use the properties of addition to find :

(-77) + (19) + 17

4 lines
20.

Use the properties of addition to find :

(-15) + 29 + 15

4 lines
21.

Use the properties of addition to find :

26 + 20 + (-26) + 80

4 lines
22.

Find the result of:

9 + (-5)

(a)  

23.

Find the result of:

(-8) + (-2)

(a)  

24.

Find the result of:

(-16) + 14

(a)  

25.

Find the result of:

Zero + (-30)

(a)  

26.

Find the result of:

(-11) + (-12) + (-35)

(a)  

27.

Find the result of:

−∣−22∣+15+27-\left|-22\right|+15+27

(a)  

28.

Complete the following:

5+(a)<spanclass=5+ (a) <span class=

29.

Complete the following:

If a + (-5) =b + a, then b = ?



(a)  

30.

Complete the following:

If a + b = b , then b = ?



(a)  

31.

Complete the following:

If b is the additive inverse of a, then a + (a)   = 0

32.

Complete the following:

The additive identity of integer number is (a)  

33.

Complete the following:

The additive inverse of Zero is (a)  

34.

Complete the following:

∣6−82∣=?\left|\frac{6-8}{2}\right|=?



(a)  

35.

Complete the following:

The result of subtracting (-9) from (-7) is (a)  

36.

Complete the following:

The result of subtracting (-9) from 3 is (a)  

37.

Complete the following:

The result of subtracting (-8) from (-12) is (a)  

38.

Z is closed under addition operation

a)

True

b)

False

39.

the addition operation is commutative in Z

a)

True

b)

False

40.

the addition operation is not associative in Z

a)

True

b)

False

41.

the additive identity in Z is one

a)

True

b)

False

42.

For every a∈Z, then (−a) ∈Z, where a +(−a)=ZeroFor\ every\ a\in Z,\ then\ \left(-a\right)\ \in Z,\ where\ a\ +\left(-a\right)=Zero

a)

True

b)

False

43.

Use the prosperities of addition in Z to get the result of:

(-77) + (19) + 17

4 lines
44.

Use the prosperities of addition in Z to get the result of:

(-15) + 29 + 15

4 lines
45.

Use the prosperities of addition in Z to get the result of:

26 + 20 + (-26) + 80

4 lines
46.

Check the closure property of the addition and subtraction operations in the following set :

{2,7,-2}

4 lines
47.

Check the closure property of the addition and subtraction operations in the following set :

{-2,0,2}

4 lines
48.

Check the closure property of the addition and subtraction operations in the following set :

{-1,0,1}

4 lines
49.

Find the value of xx in the following:

∣−5∣+0=x\left|-5\right|+0=x



(a)  

50.

Find the value of xx in the following:

(−4)+x=−4\left(-4\right)+x=-4



(a)  

51.

Find the value of xx in the following:

x+5=0x+5=0



(a)  

52.

Find the value of xx in the following:

(−2)+x=−10\left(-2\right)+x=-10



(a)  

53.

Nour has deposited L.E. 6220 in the bank, then she withdraw an amount of L.E. 1211, after wards Nour deposited another amount of L.E. 2100.

How much is Nour's credit in the bank?



(a)  

54.

The minimum temperature recoded in Paris is −5°C-5\degree C ,while the maximum temperature is 12°c12\degree c in the afternoon.

Find the amount of increase.



(a)  

55.

Find the result of the following:

(-4)x[(4)+(-5)]

(a)  

56.

Find the result of the following:

[9+(-5)] x (-2)

(a)  

57.

Find the result of the following:

(-24) ÷ (-8)

(a)  

58.

Complete the following:

5×(a)<spanclass=5\times (a) <span class=

59.

Complete the following:

∣−25∣×(a)<spanclass=\left|-25\right|\times (a) <span class=

60.

Complete the following:

if x3=5, the x =?if\ \frac{x}{3}=5,\ the\ x\ =?

(a)  

61.

Complete the following:

∣−3∣+3×5=(a)<spanclass=\left|-3\right|+3\times5= (a) <span class=

62.

Complete the following:

Multiplying any integer by Zero equals …

(a)  

63.

Complete the following:

The product of a positive integer and negative integer is a …. integer

(a)  

64.

Complete the following:

The multiplicative neutral element in Z is …

(a)  

65.

Complete the following:

if x×(y+z)=0, and x≠0, then y+z=?if\ x\times\left(y+z\right)=0,\ and\ x\ne0,\ then\ y+z=?

(a)  

66.

Use the prosperities of multiplication in Z to find:

50 x (-27) x 2

4 lines
67.

Use the distribution prosperity to find:

(-6) x (-7) + 2 x (-6)

4 lines
68.

Use the distribution prosperity to find:

102 x 15 x 102 x (-15)

4 lines
69.

Choose the correct answer:

The additive inverse of (−5)2 =?The\ additive\ inverse\ of\ \left(-5\right)^2\ =?

a)

-25

b)

5

c)

-5

d)

25

70.

Find the value of the following:

(−4)3\left(-4\right)^3

(a)  

71.

Find the value of the following:

(−9)2\left(-9\right)^2

(a)  

72.

Choose the correct answer:

If x=−1,y=−2, then the negative number in the foloowing is ?If\ x=-1,y=-2,\ then\ the\ negative\ number\ in\ the\ foloowing\ is\ ?

a)

x+y2x+y^2

b)

x2+yx^2+y

c)

x2−yx^2-y

d)

x2+y2x^2+y^2

73.

Choose the correct answer:

(−1)105 +(−1)20=?\left(-1\right)^{105\ }+\left(-1\right)_{ }^{20}=?

a)

2

b)

1

c)

-1

d)

Zero

74.

Choose the correct answer:

134×37 ...... Z\frac{1}{3^4}\times3^7\ ......\ Z

a)

∈\in

b)

∉\notin

c)

⊂\subset

d)

⊄\not\subset

75.

Find the value of the following:

(−9)0\left(-9\right)^0

(a)  

76.

Find the value of the following:

(−1)24\left(-1\right)^{24}

(a)  

77.

Find the value of the following:

7 squared7\ squared

(a)  

78.

Find the value of the following:

2 cubed2\ cubed

(a)  

79.

Find the value of the following:

The additive inverse of (−1)3The\ additive\ inverse\ of\ \left(-1\right)^3

(a)  

80.

Find the value of the following:

26×22÷272^6\times2^2\div2^7

(a)  

81.

If 25÷2a=30, then a=?If\ 2^5\div2^a=3^0,\ then\ a=?

(a)  

82.

Find the value of the following:

(−3)3×(−3)4(−3)5\frac{\left(-3\right)^3\times\left(-3\right)^4}{\left(-3\right)^5}

(a)  

83.

Find the value of the following:

(−8)5(8)3×(−7)Zero\frac{\left(-8\right)^5}{\left(8\right)^3}\times\left(-7\right)^{Zero}

(a)  

84.

If a=−2,b=−1, and c=3, then find the value of a2+b2c(b−a)If\ a=-2,b=-1,\ and\ c=3,\ then\ find\ the\ value\ of\ \frac{a^2+b^2}{c^{\left(b-a\right)}}

(a)  

85.

Complete in the same pattern:

13, 16,112,...,...,...,...,...\frac{1}{3},\ \frac{1}{6},\frac{1}{12},...,...,...,...,...

(a)  

86.

Complete in the same pattern:

243, 81,27,...,...,...,...,...243,\ 81,27,...,...,...,...,...

(a)  

87.

Complete in the same pattern:

50, 46,42,...,...,...,...,...50,\ 46,42,...,...,...,...,...

(a)  

88.

Complete in the same pattern:

−12, −9,−6,...,...,...,...,...-12,\ -9,-6,...,...,...,...,...

(a)  

89.

Discover the rule of the numerical patterns, then complete the pattern:

128,64,...,16,8,...,...

4 lines
90.

Discover the rule of the numerical patterns, then complete the pattern:

0.5,1,...,2,2.5,...,...

4 lines
91.

Discover the rule of the numerical patterns, then complete the pattern:

14,12,...,...,54,...\frac{1}{4},\frac{1}{2},...,...,\frac{5}{4},...

4 lines
92.

An Egyptian agriculture company reclaims 6 feddans per day making them prepared and ready for agriculture:

- how many days does the company required to reclaim 54 feddans?

- write the numerical pattern which express this and describe it ?

4 lines
93.

Hamada decided to lose weight at the rate of 5kg monthly. if he is 85kg heavy right now:

- How many months does he need to reach 55 kg ?

- write the pattern which expresses this and describe it?

4 lines
94.

Choose the correct answer:

if x×(7−(−2))=(−8×9)×(−1), then x=?if\ x\times\left(7-\left(-2\right)\right)=\left(-8\times9\right)\times\left(-1\right),\ then\ x=?

a)

63

b)

-63

c)

-8

d)

8

95.

Choose the correct answer:

∣13∣−∣−13∣......Z\left|\frac{1}{3}\right|-\left|-\frac{1}{3}\right|......Z

a)

∈\in

b)

∉\notin

c)

⊂\subset

d)

⊄\not\subset

96.

Choose the correct answer:

2−(−3)0=?2-\left(-3\right)^0=?

a)

6

b)

3

c)

1

d)

-1

97.

Choose the correct answer:

(−1)8+(−1)9=?\left(-1\right)^8+\left(-1\right)^9=?

a)

Zero

b)

1

c)

-1

d)

2

98.

Choose the correct answer:

(−5)zero×(−3)2=?\left(-5\right)^{zero}\times\left(-3\right)^2=?

a)

4

b)

9

c)

10

d)

-8

99.

Choose the correct answer:

64×6567=?\frac{6^4\times6^5}{6^7}=?

a)

626^2

b)

666^6

c)

6

d)

636^3

100.

Complete the following:

if 2x−1=∣−5∣, then x=?if\ 2x-1=\left|-5\right|,\ then\ x=?

(a)  

101.

Complete the following:

102.

Complete the following:

if 2x=6, x∈Z, then x−1=?if\ 2x=6,\ x\in Z,\ then\ x-1=?

(a)  

103.

Complete the following:

if x=∣−12∣, and y=−3, then xy=?if\ x=\left|-12\right|,\ and\ y=-3,\ then\ \frac{x}{y}=?

(a)  

104.

Complete the following:

Z−Z−=?Z-Z^-=?

(a)  

105.

Complete the following:

(−4)9÷(−4)7=?\left(-4\right)^9\div\left(-4\right)^7=?

(a)  

106.

Complete the following:

(−4)9÷(−4)7=?\left(-4\right)^9\div\left(-4\right)^7=?

(a)  

107.

Arrange the following numbers in ascending order:

−9, 17, ∣−9∣, −15, 16-9,\ 17,\ \left|-9\right|,\ -15,\ 16

4 lines
108.

Complete the following:

2,3,5,8,13,... in the same pattern2,3,5,8,13,...\ in\ the\ same\ pattern

(a)  

109.

Complete the following:

110.

Complete the following:

if A=3, B=−2, then 2AB=?if\ A=3,\ B=-2,\ then\ 2AB=?

(a)  

111.

Complete the following:

The smallest non−negative number is ?The\ smallest\ non-negative\ number\ is\ ?

(a)  

112.

Complete the following:

32+32+32=3?3^2+3^2+3^2=3^?

(a)  

113.

Complete the following:

32+32+32=3?3^2+3^2+3^2=3^?

(a)  

114.

Complete the following:

13,23, 1, 43,...,... in the same pattern\frac{1}{3},\frac{2}{3},\ 1,\ \frac{4}{3},...,...\ in\ the\ same\ pattern

(a)  

115.

Complete the following:

14,12, 34, 1, 54,...,... in the same pattern\frac{1}{4},\frac{1}{2},\ \frac{3}{4},\ 1,\ \frac{5}{4},...,...\ in\ the\ same\ pattern

(a)  

116.

Complete the following:

3, 7. 11, 15,...,... in the same pattern3,\ 7.\ 11,\ 15,...,...\ in\ the\ same\ pattern

(a)  

117.

Complete the following:

7, 3, −1, ,...,... in the same pattern7,\ 3,\ -1,\ ,...,...\ in\ the\ same\ pattern

(a)  

118.

Complete the following:

(−19)zero +(−19)zero=?\left(-19\right)^{zero\ }+\left(-19\right)^{zero}=?

(a)  

119.

Use the properties of addition in Z to find the result of:

(-116) + 190 + 116 (state the property used in each step)

4 lines
120.

Find the value of:

(3)2×(3)5(−3)6\frac{\left(3\right)^2\times\left(3\right)^5}{\left(-3\right)^6}

(a)  

121.

Find the value of:

(−3)4×(−3)5(−3)6×(−3)\frac{\left(-3\right)^4\times\left(-3\right)^5}{\left(-3\right)^6\times\left(-3\right)}

(a)  

122.

Find the value of:

(2)5×(−2)3(−2)×(2)4\frac{\left(2\right)^5\times\left(-2\right)^3}{\left(-2\right)^{ }\times\left(2\right)^4}

(a)  

123.

Find the value of:

(3)6(3)3+(−2)5(−2)4\frac{\left(3\right)^6}{\left(3\right)^3}+\frac{\left(-2\right)^5}{\left(-2\right)^4}

(a)  

124.

One night in winter, the TV announcer of the weather forecast announced that the temperature in cairo is 18°C and in Moscow is −4°C. Calculate the difference in the temperature between Cairo and Moscow.One\ night\ in\ winter,\ the\ TV\ announcer\ of\ the\ weather\ forecast\ announced\ that\ the\ temperature\ in\ cairo\ is\ 18\degree C\ and\ in\ Moscow\ is\ -4\degree C.\ Calculate\ the\ difference\ in\ the\ temperature\ between\ Cairo\ and\ Moscow.

(a)  

125.

Find the value of:

23×(−1)2÷82^3\times\left(-1\right)^2\div8

(a)  

126.

Choose the correct answer:

The number of integers between -2 and 2= ....

a)

2

b)

3

c)

4

d)

5

127.

Choose the correct answer:

if n is anegative integer, which of the following is the smallest?if\ n\ is\ anegative\ integer,\ which\ of\ the\ following\ is\ the\ smallest?

a)

3+n3+n

b)

3n3n

c)

−3n-\frac{3}{n}

d)

3−n3-n

128.

Choose the correct answer:

if a+b=zero where a≠b, then a×b ..... zeroif\ a+b=zero\ where\ a\ne b,\ then\ a\times b\ .....\ zero

a)

>>

b)

==

c)

<<

d)

≥\ge

129.

if 35÷3a=30, then a = ...if\ 3^5\div3^a=3^0,\ then\ a\ =\ ...

(a)  

130.

If F is an odd number, then the even number in the following is ...If\ F\ is\ an\ odd\ number,\ then\ the\ even\ number\ in\ the\ following\ is\ ...

a)

F2F^2

b)

F2+FF^2+F

c)

2F+12F+1

d)

F3F^3

131.

Choose the correct answer:

The equation x2×2x=14 is an equation of .... deg⁡reeThe\ equation\ x^2\times2x=14\ is\ an\ equation\ of\ ....\ \deg ree

a)

First

b)

Third

c)

Fourth

d)

Second

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