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

\(3 ⋅ 2 p + 4 ⋅ p\)

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

a

\(3 ⋅ 2 p + 4 ⋅ p = 6 p + 4 p = 10 p\)

1p

1p

b

\(2 ⋅ a + 3 ⋅ -4 a\)

Rekenvolgorde (2)
00mh - Rekenvolgorde met letters - basis - 1ms - dynamic variables

b

\(2 ⋅ a + 3 ⋅ -4 a = 2 a - 12 a = -10 a\)

1p

1p

c

\(6 a ⋅ 3 b + 4 a ⋅ 5 b\)

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

c

\(6 a ⋅ 3 b + 4 a ⋅ 5 b = 18 a b + 20 a b = 38 a b\)

1p

1p

d

\(5 x ⋅ -2 x + x ⋅ -6 x\)

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

d

\(5 x ⋅ -2 x + x ⋅ -6 x = -10 x^{2} - 6 x^{2} = -16 x^{2}\)

1p

opgave 2

Herleid.

1p

a

\(4 x + 2 - 3 ⋅ 5 x\)

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

a

\(4 x + 2 - 3 ⋅ 5 x = 4 x + 2 - 15 x = -11 x + 2\)

1p

1p

b

\(-4 p ⋅ 2 q ⋅ -5 r + x\kern{-.8pt}y\kern{-.8pt}z\)

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

b

\(-4 p ⋅ 2 q ⋅ -5 r + p q r = 40 p q r + p q r = 41 p q r\)

1p

1p

c

\(-4 x + 2 ⋅ 3 x + 6 x\)

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

c

\(-4 x + 2 ⋅ 3 x + 6 x = -4 x + 6 x + 6 x = 8 x\)

1p

1p

d

\(a - 2 a ⋅ -4 a + 5 a\)

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

d

\(a - 2 a ⋅ -4 a + 5 a = a + 8 a^{2} + 5 a = 8 a^{2} + 6 a\)

1p

opgave 3

Herleid.

1p

\(6 a b + a + 5 a ⋅ -3 b + 2 b\)

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

\(6 a b + a + 5 a ⋅ -3 b + 2 b = 6 a b + a - 15 a b + 2 b = -9 a b + a + 2 b\)

1p

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