Ws Nd1 Transposition _1
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Transposition (1) Simple Linear Equations EXERCISE 1 0. How many terms do you see in each of the following equations: (a) 2 x = 6
(b) x 5 = 5 x + 7 ANS: 2
(c)
2x + 4 5
x 1 =1 2
ANS: 4 (e) 2 x 1 =
4x + 5 3
ANS: 3
ANS: 3
1. Transpose for x (i.e. solve for x): (a) 2 x = 6
(b) 3 x = 15
ANS: x = 3 (c) 2 x + 5 = 13
ANS: x = 5 (d) 5 = 2 x + 9
ANS: x = 4 (e) 4 x 3 = x + 9
ANS: x = 2 (f) x 5 = 5 x + 7
ANS: x = 4 (g) x 7 = 5 x + 9
ANS: x = 3 (h) 2 x 5 = 7 x 10
ANS: x = 4
ANS: x = 1
2. Transpose for x (i.e. solve for x): (a) 3( x + 2) = 9
(b) 2( x 1) = 14
ANS: x = 1 (c) 3( x 1) + 5 = 17
ANS: x = 8 (e) 3( x + 2) 2( x + 1) = 2
ANS: x = 5
ANS: x = 2
3. Transpose for x (i.e. solve for x): (a)
x =5 2
(b)
x =5 3
ANS: x = 10 (c)
2x + 7 = 11 3
ANS: x = 15 (e) 5 =
2x +3 5
ANS: x = 6 (c)
3x +4= 8 2
ANS: x = 5 (e) 1 =
ANS: x = 8
2x +3 3
ANS: x = 3
4. Transpose for x (i.e. solve for x): (a) 2 x 1 =
4x + 5 3
(b)
x + 8 5 2x = 2 3
ANS: x = 4 (c) 2 x
4 x 1 = 3 6
(d)
ANS: x =
(d)
ANS: x = 2 1 2x 1 2x =1 2 3
1 2
3 5 = x x 2
ANS: x = 2.5 (h)
ANS: x = 3
5 x 2
1 =0 x
ANS: x = 0.5
Transposition (1) Extra Questions 3. Transpose for x (i.e. solve for x): (a)
x =5 2
(b)
(c)
2 =5 x
(d)
(e) 3
2x +1 =x 5
(f)
x = 7.5 3
2 x 3
5
=5
1 =0 x 1 x +
EXERCISE 2 1. Transpose for x (i.e. solve for x): (a) 2 x 1 = 5 x + 20
(c)
x + 8 5 2x = 2 3
(e) 4 +
2x +1 = 20 5
(b) 7 3( x 1) = 5
(d) 2 x 1 =
(f)
4x + 5 3
x+3 x 2 + =5 2 3
(g)
3 5 = x x 2
(h)
(i)
2x + 4 5
(j) 5
x 1 =1 2
2. Find x if 2 : ( x 2) = 5 : ( x + 7) .
3.
x 3
x a = 2 . If x = 3 then determine the value of a. 2
5 x 2
1 =0 x
2x 3 1 = (3 x 1) 3 2
4. 8 x
5. 2
5x a = 21 . If x = 3 then determine the value of a. 3
x 3y y = 3 2
x . If y = 1 then determine the value of x.
EXERCISE 3 1. Transpose for x (i.e. solve for x): (a) 2 x 2 = 8
(b) 3 x 2 = 5
(c) 3 x 2 5 = 9
(d)
8 9 x + = x 2x 2
x = 20
(f)
x 5 = 2 x+3
(e) x 2
2. Transpose for x (i.e. solve for x): (a) 2 x = 8
(b) 3 x = 5
(c) 3 x 5 = 9
(d) 5 x 3 = x + 7
(e) 2 x + 5 = 21
(f) 3 x 1 + 5 = 11
(b) x 5 = 5 x + 7 ANS: 2
(c)
2x + 4 5
x 1 =1 2
ANS: 4 (e) 2 x 1 =
4x + 5 3
ANS: 3
ANS: 3
1. Transpose for x (i.e. solve for x): (a) 2 x = 6
(b) 3 x = 15
ANS: x = 3 (c) 2 x + 5 = 13
ANS: x = 5 (d) 5 = 2 x + 9
ANS: x = 4 (e) 4 x 3 = x + 9
ANS: x = 2 (f) x 5 = 5 x + 7
ANS: x = 4 (g) x 7 = 5 x + 9
ANS: x = 3 (h) 2 x 5 = 7 x 10
ANS: x = 4
ANS: x = 1
2. Transpose for x (i.e. solve for x): (a) 3( x + 2) = 9
(b) 2( x 1) = 14
ANS: x = 1 (c) 3( x 1) + 5 = 17
ANS: x = 8 (e) 3( x + 2) 2( x + 1) = 2
ANS: x = 5
ANS: x = 2
3. Transpose for x (i.e. solve for x): (a)
x =5 2
(b)
x =5 3
ANS: x = 10 (c)
2x + 7 = 11 3
ANS: x = 15 (e) 5 =
2x +3 5
ANS: x = 6 (c)
3x +4= 8 2
ANS: x = 5 (e) 1 =
ANS: x = 8
2x +3 3
ANS: x = 3
4. Transpose for x (i.e. solve for x): (a) 2 x 1 =
4x + 5 3
(b)
x + 8 5 2x = 2 3
ANS: x = 4 (c) 2 x
4 x 1 = 3 6
(d)
ANS: x =
(d)
ANS: x = 2 1 2x 1 2x =1 2 3
1 2
3 5 = x x 2
ANS: x = 2.5 (h)
ANS: x = 3
5 x 2
1 =0 x
ANS: x = 0.5
Transposition (1) Extra Questions 3. Transpose for x (i.e. solve for x): (a)
x =5 2
(b)
(c)
2 =5 x
(d)
(e) 3
2x +1 =x 5
(f)
x = 7.5 3
2 x 3
5
=5
1 =0 x 1 x +
EXERCISE 2 1. Transpose for x (i.e. solve for x): (a) 2 x 1 = 5 x + 20
(c)
x + 8 5 2x = 2 3
(e) 4 +
2x +1 = 20 5
(b) 7 3( x 1) = 5
(d) 2 x 1 =
(f)
4x + 5 3
x+3 x 2 + =5 2 3
(g)
3 5 = x x 2
(h)
(i)
2x + 4 5
(j) 5
x 1 =1 2
2. Find x if 2 : ( x 2) = 5 : ( x + 7) .
3.
x 3
x a = 2 . If x = 3 then determine the value of a. 2
5 x 2
1 =0 x
2x 3 1 = (3 x 1) 3 2
4. 8 x
5. 2
5x a = 21 . If x = 3 then determine the value of a. 3
x 3y y = 3 2
x . If y = 1 then determine the value of x.
EXERCISE 3 1. Transpose for x (i.e. solve for x): (a) 2 x 2 = 8
(b) 3 x 2 = 5
(c) 3 x 2 5 = 9
(d)
8 9 x + = x 2x 2
x = 20
(f)
x 5 = 2 x+3
(e) x 2
2. Transpose for x (i.e. solve for x): (a) 2 x = 8
(b) 3 x = 5
(c) 3 x 5 = 9
(d) 5 x 3 = x + 7
(e) 2 x + 5 = 21
(f) 3 x 1 + 5 = 11
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