Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 3a^2-2b&=3.a^2-2.b \text{ [met a = 6 en b = 3]}\\&=3.6^2-2.3\\&=102\\ \end{align}\)
2. \(\begin{align} 5a-10b&=5.a-10.b \text{ [met a = 2 en b = -1]}\\&=5.2-10.(-1)\\&=20\\ \end{align}\)
3. \(\begin{align} 8a-9b&=8.a-9.b \text{ [met a = -4 en b = 1]}\\&=8.(-4)-9.1\\&=-41\\ \end{align}\)
4. \(\begin{align} a^2+6b&=1.a^2+6.b \text{ [met a = 2 en b = 5]}\\&=1.2^2+6.5\\&=34\\ \end{align}\)
5. \(\begin{align} 3a^2+b&=3.a^2+1.b \text{ [met a = -2 en b = -2]}\\&=3.(-2)^2+1.(-2)\\&=10\\ \end{align}\)
6. \(\begin{align} 2a+7b&=2.a+7.b \text{ [met a = 1 en b = 5]}\\&=2.1+7.5\\&=37\\ \end{align}\)
7. \(\begin{align} a+6b&=1.a+6.b \text{ [met a = 5 en b = -5]}\\&=1.5+6.(-5)\\&=-25\\ \end{align}\)
8. \(\begin{align} 3ab-5b+4&=3.a.b-5.b+4 \text{ [met a = 4 en b = -2]}\\&=3.4.(-2)-5.(-2)+4\\&=-10\\ \end{align}\)
9. \(\begin{align} 2ab-5b-3&=2.a.b-5.b-3 \text{ [met a = 3 en b = -5]}\\&=2.3.(-5)-5.(-5)-3\\&=-8\\ \end{align}\)
10. \(\begin{align} ab-5b-8&=1.a.b-5.b-8 \text{ [met a = 3 en b = 1]}\\&=1.3.1-5.1-8\\&=-10\\ \end{align}\)
11. \(\begin{align} 2a^2+3b&=2.a^2+3.b \text{ [met a = -4 en b = -3]}\\&=2.(-4)^2+3.(-3)\\&=23\\ \end{align}\)
12. \(\begin{align} ab+b+14&=1.a.b+1.b+14 \text{ [met a = 1 en b = 5]}\\&=1.1.5+1.5+14\\&=24\\ \end{align}\)