SOLVE FOR X:
1) x= 0. 0
2) 2x= 0. 0
3) 5x= 0. 0
4) -3x= 0. 0
5) x/2 = 0. 0
6) 3x/2= 0. 0
7) -5x/3= 0. 0
8) -4x/-3= 0. 0
9) 7x/-6= 0. 0
10) -4x/8 = 0. 0
EXERCISE -B
SOLVE FOR x:
1) x - 3 = 0. 3
2) x + 5 = 0. -5
3) -x - 9 = 0. -9
4) - x + 18 = 0. 18
5) 4 - x = 0. 4
6) 6 + x = 0. -6
7) -12 - x = 0. - 12
8) 27 + x = 0. -27
9) -x -55= 0. -55
10) 32 - x= 0. 32
EXERCISE -C
SOLVE FOR X:
1) 4/3 - x = 0. 4/3
2) 3/7 + x = 0. -3/7
3) -5/9 + x = 0. 5/9
4) -7/8 - x = 0. -7/8
5) x - 3/11= 0. 3/11
6) x + 7/12= 0. -7/12
7) - x - 8/19= 0. -8/19
CONTINUE........
EXERCISE - D
SOLVE FOR X:
1) 2x = 1. 1/2
2) 3x = 2. 2/3
3) -5x = 3. -3/5
4) 7x = -2. -2/7
5) -8x = -3. 3/8
6) -3x = 10. -10/3
7) -9x = -11. 11/9
8) 32x= -13. -13/32
9) 3x= -22. -22/3
EXERCISE -E
Solve for x:
1) x/2 = 3. 6
2) x/3 = 2. 6
3) - x/4 = 6. -24
4) -x/7 = -3. 21
5) x/-3 = 4. -12
6) -x/7 = -13. 91
7) x/5 = -4. -20
8) x/-3 = -8. 24
EXERCISE -F
Solve for x:
1) 2x = 4. 2
2) 3x = 9. 3
3) 4x = 12. 3
4)
Exercise -G
1) x - 3 = 4. 7
2) x - 7 = 6. 13
3) x- 21= 5. 26
4) x- 17= 8 25
5) x - 9 = 5. 14
6) x - 31 = 4. 35
7) x - 27 = - 6. 21
8) x- 21= - 9 12
9) x- 17= -12 5
10) x - 29 = - 1. 28
11) x - 2 =-51. -49
12) x - 9 = -35 -26
13) x - 22= -55. -32
14) x- 17= -81 -64
15) x - 23 = -51. -28
EXERCISE -H
1) x + 2 = 4. 2
2) x + 11 = 16. 5
3) x + 21= 25. 3
4) x+17= 39 22
5) x + 29 = 35. 6
6) x +23 = 41. 17
7) x + 27 = -16. -43
8) x+21= -15. -36
9) x+ 37= -8 45
10) x + 9 = -35. -44
EXERCISE -I
1) 3x - 1/4= 8.
2) x/7 + x= 16.
3) 8x= 20+3x
4) 2x/3 +1=7/3
5) 5x/8- 6 = 9
6) 3x - 5/3= x - 3
7) 15x/4 = 5x - 5/2.
8) 3x - 5 = 2x/3 + 9.
9) 32x + 11/4= x/3 +2.
10) x/3 + x/4 = 14.
11) x/6 + x/4 = x- 7.
12) 2x/3 + 4x = 42.
EXERCISE J
1) 2x - 5 = 4. 9
2) 3x - 17 = 4. 7
3) 5x- 20= 5. 5
4) 3x- 17= 28 15
5) 7x - 9 = 5. 2
6) 9x - 23 = 4. 3
7) 12x - 6= 6. 1
8) 6x- 21= 3. 4
9) 8x- 17= 7 3
10) 5x - 9 = 106. 23
11) x - 40 % of x = 12.
12) x - 24% of x = 38
EXERCISE -K
1) 3x + 5= 5x -11.
2) 9x - 7= 6x +14
3) 5x -16= 19- 2x.
4) 5(x +4)= 35.
5) 5x+7= 2x-8
6) 2(x - 5/2) = 0.3
7) 3x - 5 = 2x+ 8. 13
8) 5x - 17 = 2x- 8. 3
9) 0.6x - 1.9= 0.2x + 0.5.
10) 4x-9= 2x +7.
11) 2a -1= 14- a
12) 7k/5 = k -4.
13) 5y + 18= 11- 2y.
14) x/4 + x/6 = x -7
15) 8x+3= 27+2x
16) 3a+ 2/3 = 2x +1.
EXERCISE-L
1) 5(3-x)= 3(x+4)
2) 9x/(7- 6x)= 15
3) 3x/(5x +2)= -4
4) 2(3x - 2)- 4(2x -5) = 9.
5) 2/3(x -3 )= 5/6 (3x-4)
6) (8x -3)/3x =2
7) (6y -5)/2y = 7/9
8) 7 - 2(5 - 3x)= 4(x -3) +5.
9) 6 - 3(2x- 3)= 5(6-x) -4x. 5
10) 21- 3(x-7) = x +20.
11) 9x +5= 4(x -2)+8
12) 2(x - 5)+ 3(x -2) = (2-5x).
13) (x - 5) - 16 = 12- 2(x -3).
14) 3(x - 7)- 2(3x -4) = 8+ 7(x -4).
15) 6(3x +2)- 5(6x -1) = 3(x -8) - 5(7x -6)+ 9x.
16) x - (2x + 5)- 5(1- 2x) = 2(3+ 4x) - 3(x -4).
17) 15(y -4) - 2(y -9)+ 5(y +6)=0
18) 3(5y -7) - 2(9y -11)= 4(8y -13)=0
EXERCISE -M
1) (x -4)(x+4) = (x+4)(x -7)+ 33.
2) (x -2)(x+3) = (x²-4).
3) (6x+7)/(3x+2)= (4x+5)/(2x+3).
4) (3x +5)/(2x+1)= 1/3
5) (2- 9x)/(17- 4x)= 4/5
6) (2 -9x)/(16+ 5x)= 0.
7) (2x +3 )/(3+ x) = 3/2.
8) (2x +1 )/(7x-2) = 3/5
9) (4x +7)/(9-3x) = 1/4
10) (7k +4)/(k+2) = -4/3
11) (8- 3x)/(5x+31) = 2/3
12) (5- 4x )/(3- 2x) = 13/7.
13) (2- 9x )/(17- 4x) = 4/5.
14) (0.5x +4)/(1.2x +6)= 5/3.
15) 7/(x -4 ) = 5/(x +2).
16) (6x -7)/(3x+1) = (2x +1)/(x +5).
17) (x +1)/(x -2) = (x -2)/(x -3).
18) (2x -3)/(2x -1)= (3x-1)/(3x +1).
19) (2x -3)/(3x -1)= (2x+3)/(3x +4).
20) (2x +3)/(3x+4) = (2x-3)/(3x -2). -2
21) 2- (3 - x)/(x -1)= (3x+ 4)/(x +1).
22) 2 + (2x -3)/(2x +4)= (3x+ 4)/(x +2).
23) 4/(x -3)+ 2/(x -2)= 6/x.
24) 5/(x +2)- 3/(x -2)= 2/x. 1/2
25) 3/(2x -1)+ 4/(2x +1)= 7/²x.
26) 1.25+ 9.75/x = 4.5. 3
27) 2x +1 )/(7x-2) = 3/5
Exercise -O
1) (x +5)/2 + x/3 = 20.
2) (5x -3 )/2 - (3x-2)/3 = 2/3. 1
3) (2x +3 )/3 - (3x-2)/4 =1
4) (3x -2 )/7 - (5x-8)/4 =1/14
6) (x +7 )/3 = 1+ (3x- 2)/5.
5) (2x +3 )/3 - (3x-2)/4 =1
6) (3x -2 )/7 - (5x-8)/4 =1/14
7) (a -4 )/5 + (a+ 2)/2 =10
8) (x -1 ) = 3/4 (x +1) - 1/2.
9) 2/3 (3x-2) = 4/5 (2x -3) - 4/3
10) 3/4 (2x -5 ) -5/6 (7- 5x)= 7x/3
11) 4(x + 5/8)/5 - 2(x - 1/4)/3 = 10/9
12) (x -2 )/3 + 5x/2= 6 - (x - 5)/6.
13) 12/3 - (3x-4)/5 = (x -)/3.
14) (5x -7)/4 - (2x - 5)/3 = 5x/6.
15) 2x - (x-8)/6 = 2(2x+19)/9. 52
16) 4- 2(x-4)/3 = (2x +5)/2.
17) 3x/4 - (x - 4)/3 = 5/3.
EXERCISE -P
1) (x +3 )/7 - (3x-5)/5 =(2x -5)/3 - 25. 25
2)(x -2)/3 + (x-3)/4 =(x -1)/2.
3) (x -4)/7 - (x +4)/5 = (x +3 )/7
4) (x +5)/6 - (x +1)/9 = (x + 3)/4.
5) (3x-2)/4 + (2x +3)/3= 2/3 - x.
16) (4x +1)/3 + (2x -1)/2 - (3x -7 )/5 = 6
17) (x +6)/4 - (5x -4)/8 + (x -4 )/5 = 0.
18) x - {2x - (3x-4)7}= (4x-27)/3 - 3
19) 5x - (x+1)/3 = 6(x +1/30).
20) (y -2)/4 + 1/3 = y - (2y - 1)/3.
21) (7x- 1) - {x - (1- x)/2} = 4x+ 1/2.
22) (5x - 11)/4 + -(3x -7)/2 = (4x-7)/3 + y - 1.
23) 3(7x -1)/4 - {2x - (1-x)/2} = x + 3/2.
24) 2x - {x+ (5x-4)/7}= (4x+7)/3 -7. 5
25) 2x/(x² -16)- 3/(x -4)= 5/(x+4). 4/3
26) 3/(x -2) - 2/(x -3)= 4/(x-3) - 3/(x -1).
27) (x+3)(x -3)- x(x +5)=6.
28) x(2x +3)- 2x(x -5)= 26.
29) (x+6)/4 + (x -3)/5= (5x -4)/8.
30) (2x+7)/5 + (3x +11)/2 = (2x +8)/3 - 5
31) (5x-4)/6 = (4x +1) - (3x +10)/2
EXERCISE -Q
1) (2x +1)/10 - (x -2)/6 = (3 -2x)/15. And find y, when 1/x + 1/y = 2. -7/5, 7/19
2) (2- x)/2 - (x -3)/3 = (1 -x). And find y, when 1/x + 1/y = 2.
3) If x= (k+1), find the value of k when (5x -3)/2 - (2 + 9k)/e = 1/4.
4) If m= (1- 3x)/5, n= (1- 2x)/3 and 3(n - 2m)+ 1, find x.
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