Working with formulas > Rewriting formulas
1234Rewriting formulas

Solutions to the exercises

Exercise 1
a

x + 2 y + 10 = 0

b

y = 2 x 2 - 2 x

c

2 x h + x 2 = 50

d

W = - 2 p 2 + 690 p - 13000

Exercise 2
a

y = 0 . 5 x - 5

b

y = 6 x + 2

c

y = ± 4 - x

d

y = ± 2 x

e

y = 8 - 1 3 x

f

y = 2 - x

g

y = ± x 2 - 25

h

y = 25 x - 1 2 x

Exercise 3
a

-2 x 3 - 12 x 2

b

- x 2 - 8 x

c

t 2 + 15 t - 100

d

3 x 2 - 2 x 2 + 3 x - 2

e

a 2 - 9

f

36 x 2 36 x + 9

g

a 2 - 2 + 1 a 2

h

x 3 - 6 x 2 + 12 x - 8

Exercise 4
a

x ( x - 4 )

b

- 2 t ( t - 9 )

c

( x + 6 ) ( x - 1 )

d

- ( p + 6 ) ( p - 2 )

e

4 ( k - 2 ) ( k + 2 )

f

2 p ( p - 4 ) ( p + 3 )

g

( 4 - p ) ( 4 + p )

h

( x - 9 ) ( x - 1 )

Exercise 5
a

3 x + 5 y x y

b

x + 4 x 2 - 2 x

c

2 y 3 x

d

4 x 2 - 1 2 x

Exercise 6
a

A = 2 x 2

b

A = ( x - 6 ) ( 2 x - 10 )

c

( x - 6 ) ( 2 x - 10 ) = 2 x 2 - 2690 gives x = 125 .

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