Lettervormen getalwaarde

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Bereken de getalwaarde

1. \(4a^2+b\text{ [met a = -4 en b = -2]}\)
2. \(2a^2-6b\text{ [met a = 6 en b = -4]}\)
3. \(4a+4b\text{ [met a = -3 en b = -2]}\)
4. \(6a-7b\text{ [met a = -1 en b = -5]}\)
5. \(3ab-2b+14\text{ [met a = -5 en b = 2]}\)
6. \(a-4b\text{ [met a = 2 en b = -3]}\)
7. \(4a^2-3b\text{ [met a = 6 en b = 2]}\)
8. \(a-7b\text{ [met a = -4 en b = 2]}\)
9. \(4a+b\text{ [met a = -5 en b = 4]}\)
10. \(5ab-3b-15\text{ [met a = 3 en b = 3]}\)
11. \(3ab-4b+14\text{ [met a = 6 en b = 1]}\)
12. \(2ab+5b+13\text{ [met a = -2 en b = -2]}\)

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 4a^2+b&=4.a^2+1.b \text{ [met a = -4 en b = -2]}\\&=4.(-4)^2+1.(-2)\\&=62\\ \end{align}\)
2. \(\begin{align} 2a^2-6b&=2.a^2-6.b \text{ [met a = 6 en b = -4]}\\&=2.6^2-6.(-4)\\&=96\\ \end{align}\)
3. \(\begin{align} 4a+4b&=4.a+4.b \text{ [met a = -3 en b = -2]}\\&=4.(-3)+4.(-2)\\&=-20\\ \end{align}\)
4. \(\begin{align} 6a-7b&=6.a-7.b \text{ [met a = -1 en b = -5]}\\&=6.(-1)-7.(-5)\\&=29\\ \end{align}\)
5. \(\begin{align} 3ab-2b+14&=3.a.b-2.b+14 \text{ [met a = -5 en b = 2]}\\&=3.(-5).2-2.2+14\\&=-20\\ \end{align}\)
6. \(\begin{align} a-4b&=1.a-4.b \text{ [met a = 2 en b = -3]}\\&=1.2-4.(-3)\\&=14\\ \end{align}\)
7. \(\begin{align} 4a^2-3b&=4.a^2-3.b \text{ [met a = 6 en b = 2]}\\&=4.6^2-3.2\\&=138\\ \end{align}\)
8. \(\begin{align} a-7b&=1.a-7.b \text{ [met a = -4 en b = 2]}\\&=1.(-4)-7.2\\&=-18\\ \end{align}\)
9. \(\begin{align} 4a+b&=4.a+1.b \text{ [met a = -5 en b = 4]}\\&=4.(-5)+1.4\\&=-16\\ \end{align}\)
10. \(\begin{align} 5ab-3b-15&=5.a.b-3.b-15 \text{ [met a = 3 en b = 3]}\\&=5.3.3-3.3-15\\&=21\\ \end{align}\)
11. \(\begin{align} 3ab-4b+14&=3.a.b-4.b+14 \text{ [met a = 6 en b = 1]}\\&=3.6.1-4.1+14\\&=28\\ \end{align}\)
12. \(\begin{align} 2ab+5b+13&=2.a.b+5.b+13 \text{ [met a = -2 en b = -2]}\\&=2.(-2).(-2)+5.(-2)+13\\&=11\\ \end{align}\)