Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} ab-4b-13&=1.a.b-4.b-13 \text{ [met a = 4 en b = -3]}\\&=1.4.(-3)-4.(-3)-13\\&=-13\\ \end{align}\)
2. \(\begin{align} 8a+9b&=8.a+9.b \text{ [met a = -4 en b = -4]}\\&=8.(-4)+9.(-4)\\&=-68\\ \end{align}\)
3. \(\begin{align} a^2-3b&=1.a^2-3.b \text{ [met a = -3 en b = 6]}\\&=1.(-3)^2-3.6\\&=-9\\ \end{align}\)
4. \(\begin{align} 5a^2-4b&=5.a^2-4.b \text{ [met a = 3 en b = 3]}\\&=5.3^2-4.3\\&=33\\ \end{align}\)
5. \(\begin{align} 3a^2+b&=3.a^2+1.b \text{ [met a = -4 en b = 4]}\\&=3.(-4)^2+1.4\\&=52\\ \end{align}\)
6. \(\begin{align} 5a+10b&=5.a+10.b \text{ [met a = 2 en b = -2]}\\&=5.2+10.(-2)\\&=-10\\ \end{align}\)
7. \(\begin{align} 4a+5b&=4.a+5.b \text{ [met a = -2 en b = -1]}\\&=4.(-2)+5.(-1)\\&=-13\\ \end{align}\)
8. \(\begin{align} a+9b&=1.a+9.b \text{ [met a = 3 en b = -1]}\\&=1.3+9.(-1)\\&=-6\\ \end{align}\)
9. \(\begin{align} 8a-b&=8.a-1.b \text{ [met a = -2 en b = -2]}\\&=8.(-2)-1.(-2)\\&=-14\\ \end{align}\)
10. \(\begin{align} 5a^2+b&=5.a^2+1.b \text{ [met a = 3 en b = -1]}\\&=5.3^2+1.(-1)\\&=44\\ \end{align}\)
11. \(\begin{align} 3a^2+2b&=3.a^2+2.b \text{ [met a = 1 en b = -1]}\\&=3.1^2+2.(-1)\\&=1\\ \end{align}\)
12. \(\begin{align} 2a^2+5b&=2.a^2+5.b \text{ [met a = -4 en b = 3]}\\&=2.(-4)^2+5.3\\&=47\\ \end{align}\)