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Revision mid term for 1st prep
1)
Complete the following:
π
1-
If π is a rational number, then a β β¦β¦β¦β¦β¦
2-
The numberπβπ is a rational number if x β β¦β¦β¦
3-
The number πβπ is a rational number if x β β¦β¦β¦
4-
The number ππ is a rational number if x β β¦β¦β¦
5-
The number πβπ= 0 if x = β¦β¦β¦
6-
The number
7-
The additive identity element in Q is β¦β¦β¦β¦β¦
8-
The additive inverse of the number π is β¦β¦β¦β¦β¦
9-
The additive inverse of the number -π is......β¦β¦β¦β¦
10-
π
π±+π
π
πβπ±
π±βπ
π
= 0 if x = β¦β¦β¦β¦β¦
π
π
βπ
isthe additive inverse of the number β¦β¦β¦β¦β¦
βππ
π ππππ
11- The additive inverse of the number (π)
is β¦β¦β¦β¦β¦
π ππππ
12- The additive inverse of the number (β π)
is β¦β¦β¦β¦
π
13- The additive inverse of the number |π| is β¦β¦β¦β¦β¦
14- The additive inverse of the number zero is β¦β¦β¦β¦β¦
15- The multiplicative identity of the rational numbers is β¦..
π
16- The multiplicative inverse of the number π is β¦β¦β¦β¦β¦
π
17- The multiplicative inverse of the number -π is β¦β¦β¦β¦
18- The multiplicative inverse of the number -8 is β¦β¦β¦β¦
π
19- The multiplicative inverse of the number 5π is β¦β¦β¦β¦
20- The multiplicative inverse of the number 0.8 is β¦β¦β¦β¦
21- The multiplicative inverse of the number 1 is β¦β¦β¦β¦
Using the addition properties in Q, find out the result of each of the following
in the simplest form:
π
π
+(β π) +
π
π
π
π
+
π
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π
π
π
π
1) π + π + π+ π
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
2)
1)
2)
Using the distribution property, find the value of
each of the following in the simplest form:
5
Π₯3+
12
4
Π₯ 11 +
9
5
12
4
9
Π₯6
Π₯ 16
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
π
π
π
π
1) Find a rational number in half- way between πππ
(from the side of
the smaller number)
ππ
ππ
ππ
ππ
the smaller number
the greater number
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3
4
5
5
2) One third of the way between β , β (from the side of the greater number)
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦...
3)
Reduce to the simplest form:
1)
3a + 2b + 5a + 4b
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2) 2x β 4y β 9x -3
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦.
4)
1)
Answer each of the following:
Subtract: y2 from -3y2
2)
Subtract: -6x2y from 9x2y
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦...
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5)
Find th sum of each of the following:
1 ) 3π³-2π΄+5
,
π³+2π΄-2
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2 ) 2π β 5m + 6n ,
5m β 6n β 2π
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
Second geometry
1) If the two outer sides of two adjacent angles are
perpendicular, then these two adjacent angles areβ¦β¦β¦.
2) If the two adjacent angles are supplementary, then their
outer sides are β¦β¦β¦.
3) If two straight lines intersect, then each of two vertically
opposite angles are β¦β¦β¦
4) β¦.. is the union of two rays with the same starting
pointβ¦β¦β¦β¦..
5) The measure of the straight angle = β¦β¦ o and the
measure of zero angle is β¦β¦β¦.o
The measure of right angle is β¦β¦β¦.o
6)
7) The acute angle is the angle whose measure is less than
β¦... And more than β¦..
8) The two complement angles are the two angles whose
sum of their measure isβ¦β¦β¦.
9) The two supplement angles are the two angles whose
sum of their measures is β¦β¦β¦β¦..
In the opposite figure:
If: BC = FD, m(β A)=m(β E)=95o, m(β B)= 35o, m(β D)=
50oand FE=7cm.
Complete the following:
1) m( β C) = β¦β¦β¦β¦o
2) m( β F) = β¦β¦β¦β¦o
3) β³ ACB β‘β³ β¦β¦β¦β¦.
4) ACβ‘ β¦β¦β¦β¦.
5)
AB = β¦β¦β¦β¦.. cm.
In the opposite figure:
If: CD β© BA ={F}, FA= FB, CF=FD,
m(β CFB)=35o and m(β B)= 100o
Then m( β D) = β¦β¦β¦β¦o
1) Compelet :
1. The angle is
β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦β¦
2. The acute angle supplements β¦β¦β¦β¦..angle.
3. If m(β π΄π΅πΆ ) = 60 °, then m ( reflex β ABC ) =
β¦β¦β¦β¦
4. The sum of measures of the two
5. supplementary angles = β¦β¦..°
6. The two adjacent angles whose two outer sides are
perpendicular are β¦β¦β¦..
7.If the ratio between the measures of two
supplementary angles is 1 : 2 , then the measure of the
smaller angle equals β¦β¦β¦
8. If m(β A)=150° , β B supplements β π΄, β B ,then m
(β π) = β¦β¦. °
9. The angle whose measure =37 °complements an
angle of measure β¦β¦β¦..°
10. The angle whose measure =62 °is supplemented
by an angle of measure β¦β¦β¦β¦
11. Zero angle is complemented by β¦β¦β¦ angle.