Embed Size (px)
DESCRIPTION
1st Prep Algebra
Citation preview
1
Question
I) Complete the following:
1)
×
= ………………
2)
= ………………
3)
÷
= ………………
4)
= ………………
5)
-
= ………………
6) The additive inverse of the number
is ………………
7) (3x-1)2 =
8) If x = -
, y = 3 then xy = ………………
9)
= ………………
10) (30 – 2-2)-2 = ………………
11) 2x-2 y-3 = ………………
12) 7 (62 ÷ 2 × 3) = ………………
13) 12 (2)2 ÷ 24 + 32 = ………………
14) The multiplicative inverse of
is ………………
15)
= ………………
1st prep Algebra
Midterm Second term
2
Algebra 1st prep
Midterm Second term
16) -3 ab2 × 2a2b3 = ………………
17) = ………………
18) 3 × 4 – 21 ÷ 7 = ………………
19) = ………………
20) If x + 9 = 11 then 7x = ………………
21) Three subtracted from twice a number is ………………
22) If x =
, y =
then (x – y)-1 = ………………
23) = ………………
24) The S.S of 3x + 7 = 5 , x is ………………
25) If A × C > B × C, C < 0, then A ………… B
26) If 7 – 2x = 3 then x = ………………
27) If 3x + 1 > 10 then S.S = ………………
28) The standard form of the number 0.7 × 0.005 is ………………
29)
= ………………
30)
= ………………
31) 0.00037 = 3.7 × 10n then n = ………………
32) The S.S of inequality 2 < x < 4 in N is ………………
33) If A = 0.000625 then = 2.5 × 10…….
34) If 3000000 = 3 × 10n then n = ………………
35) If
=
then
= ………………
36) If 3y = 6 then 6y = ………………
37) If 2a + 3 = 15 then
a = ………………
3
Algebra 1st prep
Midterm Second term
38) If k – 1
= 5
then the value of 4k – 18 = ………………
39) If
=
the value of
= ………………
40) 5b0 = ………………
(2) Choose the correct answer:
1)
= ……………… [ 3a , 3a5 7 ,
,
]
2)
= ……………… [
, -
,
,
]
3) Which is greater = ………… [ 6.3 × 105 , 9.8 × 104 , 5.2 × 105]
4)
= ………… [
,
,
,
]
5)
= ………… [
, a2 , 1 ,
]
6) 2.37 × 10-4 = ………… [ 0.00237 , 0.000237 , 23700 , 0.0000237]
7)
= ………… [
,
,
,
]
8) 310 + 310 + 310 = ………… [ 310 , 311 , 320 , 3-3 ]
9) 24 × 34 = ………… [ 54 , 64 , 68 , 616 ]
10) If x = 0.0009 then = ………… [ 0.003 , 0.0081 , 0.003 , 0.03 ]
11) Which is smaller? [ 314 × 103 , 3.14 × 104 , 31.4 × 105 ]
12) If –x < 3 then [ x > 3 , x < -3 , x < 3 , x < -3 ]
13) Quarter of 420 = ………… [ 45 , 410 , 419 , 210 ]
4
Algebra 1st prep
Midterm Second term
14) 27 × 37 = ………… [ 57 , 67 , 614 , 649 ]
15) If a = b then
= ………… [ zero , 1 ,
,
]
16)
= ………… [ 2 ab , 2 a5b7 ,
,
]
17) If 3a = then
= ………… [ 2 : 3 , 3 : 2 , 4 : 3 , 3 : 4 ]
18)
= ………… [
,
,
,
]
19) 23 × 25 = …………. [ 22 , 28 , 215 , 253 ]
20) The side length of square whose area is 9x2 cm2 is ………….
[ 3x , 3x2 , 9x , 9x2 ]
21) The multiplicative inverse of
is …………. [
,
,
,
]
22)
> 5 equal …………. [ x <
, x >
, x > 10 , x < 10 ]
23) 3x + 3x + 3x = …………… [ 3x , 3x + 1 , 27x , 3x3 ]
24) The S.S of equation x + 3 = 3 in is [ , {0} , {3} , {6} ]
25) Which number is in standard form ……………
[11 × 108 , 9.7 × 10-5 , 10.3 × 10-3 , 0.087 × 108 ]
26) The number is ……………
[rational – positive integer - negative integer – natural]
5
Algebra 1st prep
Midterm Second term
(3) Find in simplest form:
1)
2)
×
×
3)
(3n – 6) +
(6 – 2n) then find the value of the expression n = 1
4)
5) x-1y2
6)
7) (a2 × a-5)2
8)
9)
10) ±
11) ±
12)
13)
14)
×
(4) Write the following number in standard:
1) (4.4 × 103) × (2 × 10)5
2) (3.8 × 108) ÷ (1.9 × 106)
3) (3.8 × 105) + (4.6 × 104)
4) (5.3 × 108) – (0.8 × 107)
5) 48000000
6) 0.0000235
7) 0.75 × 108
8) 68 × 10-5
6
Algebra 1st prep
Midterm Second term
(5) Find the S.S of each of the following equations:
1) 3x – 13 = 26 , x
2) x – 6
= 12
, x
3) x + 3 = 18 – 3x , x
4) 5x – 4 = 2x + 11 , x
5) 3 (x + 2) + 7 (x – 1) = 12 , x
6) (3x + 2) + 5 = 13 , x
7) 3 – 4x = -5 , x
(6) Find S.S of the inequalities:
1) 4x + 7 < 3 in
2) 3 – 2x > 1 in
3) 1 < x – 3 < 6 in
4) 8x – 3x + 1 < 29 in
5) 3 (x + 2) < -x + 4 in
6) 3 (7y -
) < 20y – 1 in
(7) If x = -
, y =
, z = -
Find the numerical value of :
1) x3y3 2)
3)
4) 2x2 – xy + z2
7
Algebra 1st prep
Midterm Second term
(8) Find the area of square whose side length
(9) Find the valume of the cube whose side length is
(10) Arrange in a descending order:
3.6 × 10-3 , 5.2 × 10-5 , 1 × 10-2 , 8.35 × 10-2 , 6.08 × 10-8
8
Algebra 1st prep
Midterm Second term
Model Answers
(1) Complete:
1)
2)
3) -
= -
4)
=
5) -
-
= -
6) -
7)
8)
=
9)
= = 93 = 729
10) (1 -
)-2 =
=
11)
12) 378 13) 11
14)
= 2 the multiplicative inverse =
15)
16) – 6a3b5 17) = 5
18) 9 19) = 6
20) x = 11 – 9 = 2
7x = 7 × 2 = 14
21) 2x – 3
22)
=
= 8
23) = = 8
9
Algebra 1st prep
Midterm Second term
24) 3x = 5 – 7 , 3x = -2
x =
S.S = {
}
25) A < B
26) -2x = 3 – 7
- 2x = - 4
x = - 4 ÷ (-2)
x = 2
27) 3x > 10 – 1
3x > 9
x >
x > 3
28) 0.0035 = 3.5 × 10-3
29) 1
30)
31) = - 4
32) S.S = { 3, 4}
33) = = 0.025 = 2.5 × 10-2
34) x = 5
35)
×
= 1
36) y = 6 ÷ 3 y = 2 → 6y = 6 × 2 = 12
37) 2a = 15 – 3
2a = 12 → a = 6
a =
× 6 = 2
10
Algebra 1st prep
Midterm Second term
38) K = 5
+ 1
= 6
Then 4 k – 18 = 4 × 6
– 18
= 27 – 18 = 9
39) x =
× 4
x =
then
=
÷ 2 =
= 1
40) 5 × 1 = 5
(2) Choose the correct answer:
1)
2)
3) 6.3 × 105
4)
5)
6) 0.000237
7)
8) 311 9) 64
10) 0.03 11) 3.14 × 104 12) x > -3
13) 419 14) 67 15) 1
16)
17) 2 : 3 18)
19) 28 20) = 3x 21)
22) x < 10 23) 3x + 1 24) {0}
25) 9.7 × 10-5 26) rational
11
Algebra 1st prep
Midterm Second term
(3) Simplify
1) 1 2)
3)
n2 – 4n + 3 at n = 1
=
4) (x2)3 = x6 5)
6)
7) (a-3)2 = a-6 =
8) 1 9)
xy
10) ±
11) ±
12)
=
13)
= 22 ab2 = 4ab2
14)
× -
= -
=
(4) Write the following number in standard form:
1) 1.408 × 1010
2) 2 × 102
3) 4.26 × 105
4) 5.22 × 108
5) 4.8 × 107
6) 2.35 × 10-5
7) 7.5 × 107
8) 6.8 × 10-4
12
Algebra 1st prep
Midterm Second term
(5) Find S.S of the equating:
1) S.S = { 13 }
2) S.S = {
}
3) S.S =
4) S.S = { 5 }
5) S.S = {
}
6) S.S = { 2 }
7) S.S = { 2 }
(6) Find S.S of the inequalities:
1) S.S = { x : x , x < -1 }
2) S.S = { 1 , 0 , -1 , -2 , ……. }
3) S.S = { x : x , 4 > x > 9 }
4) S.S = { x : x , x <
}
5) S.S = { x : x , x < -
}
6) S.S = { y : y , y < zero }
(7) 1)
×
= -
2)
=
3)
4)
13
Algebra 1st prep
Midterm Second term
(8) Area of square
=
×
=
(9) Volume of cube = L × L × L
=
=
(10)
8.35 × 10-2 , 1 × 10-2 , 3.6 × 10-3 , 5.2 × 10-5 , 6.08 × 10-8
