Getal & Ruimte (13e editie) - 2 havo/vwo

'Rekenvolgorde met letters'.

2 havo/vwo 1.vk Letterrekenen

Rekenvolgorde met letters (9)

opgave 1

Herleid.

1p

a

\(2 ⋅ 6 p + 3 ⋅ 4 p\)

Rekenvolgorde (1)
00mg - Rekenvolgorde met letters - basis - 1ms - dynamic variables

a

\(2 ⋅ 6 p + 3 ⋅ 4 p = 12 p + 12 p = 24 p\)

1p

1p

b

\(-4 ⋅ -6 a - 3 ⋅ 2 a\)

Rekenvolgorde (2)
00mh - Rekenvolgorde met letters - basis - 0ms - dynamic variables

b

\(-4 ⋅ -6 a - 3 ⋅ 2 a = 24 a - 6 a = 18 a\)

1p

1p

c

\(3 a ⋅ 4 b - 6 a ⋅ 2 b\)

Rekenvolgorde (3)
00mi - Rekenvolgorde met letters - basis - 0ms - dynamic variables

c

\(3 a ⋅ 4 b - 6 a ⋅ 2 b = 12 a b - 12 a b\)

1p

1p

d

\(2 x ⋅ 6 x + 3 x ⋅ 4 x\)

Rekenvolgorde (4)
00mj - Rekenvolgorde met letters - basis - 0ms - dynamic variables

d

\(2 x ⋅ 6 x + 3 x ⋅ 4 x = 12 x^{2} + 12 x^{2} = 24 x^{2}\)

1p

opgave 2

Herleid.

1p

a

\(6 x + 2 + 4 ⋅ x\)

Rekenvolgorde (5)
00mk - Rekenvolgorde met letters - basis - 0ms - dynamic variables

a

\(6 x + 2 + 4 ⋅ x = 6 x + 2 + 4 x = 10 x + 2\)

1p

1p

b

\(4 p ⋅ -3 q ⋅ 2 r - x\kern{-.8pt}y\kern{-.8pt}z\)

Rekenvolgorde (6)
00ml - Rekenvolgorde met letters - basis - 0ms - dynamic variables

b

\(4 p ⋅ -3 q ⋅ 2 r - p q r = -24 p q r - p q r = -25 p q r\)

1p

1p

c

\(x + 3 ⋅ -4 x + 2 x\)

Rekenvolgorde (7)
00mm - Rekenvolgorde met letters - basis - 0ms - dynamic variables

c

\(x + 3 ⋅ -4 x + 2 x = x - 12 x + 2 x = -9 x\)

1p

1p

d

\(5 a + 2 a ⋅ -a - 6 a\)

Rekenvolgorde (8)
00mn - Rekenvolgorde met letters - basis - 0ms - dynamic variables

d

\(5 a + 2 a ⋅ -a - 6 a = 5 a - 2 a^{2} - 6 a = -2 a^{2} - a\)

1p

opgave 3

Herleid.

1p

\(2 a b + 4 a + 6 a ⋅ -b + 3 b\)

Rekenvolgorde (9)
00mo - Rekenvolgorde met letters - basis - 0ms - dynamic variables

○

\(2 a b + 4 a + 6 a ⋅ -b + 3 b = 2 a b + 4 a - 6 a b + 3 b = -4 a b + 4 a + 3 b\)

1p

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