Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 4ab-3b+1&=4.a.b-3.b+1 \text{ [met a = 4 en b = -5]}\\&=4.4.(-5)-3.(-5)+1\\&=-64\\ \end{align}\)
2. \(\begin{align} 2a^2+2b&=2.a^2+2.b \text{ [met a = 5 en b = -1]}\\&=2.5^2+2.(-1)\\&=48\\ \end{align}\)
3. \(\begin{align} a^2-b&=1.a^2-1.b \text{ [met a = -4 en b = 5]}\\&=1.(-4)^2-1.5\\&=11\\ \end{align}\)
4. \(\begin{align} 5a-3b&=5.a-3.b \text{ [met a = -1 en b = -3]}\\&=5.(-1)-3.(-3)\\&=4\\ \end{align}\)
5. \(\begin{align} 10a-b&=10.a-1.b \text{ [met a = -5 en b = -2]}\\&=10.(-5)-1.(-2)\\&=-48\\ \end{align}\)
6. \(\begin{align} 10a-7b&=10.a-7.b \text{ [met a = 3 en b = -1]}\\&=10.3-7.(-1)\\&=37\\ \end{align}\)
7. \(\begin{align} 5ab-2b-8&=5.a.b-2.b-8 \text{ [met a = 1 en b = -4]}\\&=5.1.(-4)-2.(-4)-8\\&=-20\\ \end{align}\)
8. \(\begin{align} 5a^2+2b&=5.a^2+2.b \text{ [met a = 2 en b = -4]}\\&=5.2^2+2.(-4)\\&=12\\ \end{align}\)
9. \(\begin{align} 4a^2+3b&=4.a^2+3.b \text{ [met a = 2 en b = -1]}\\&=4.2^2+3.(-1)\\&=13\\ \end{align}\)
10. \(\begin{align} 3a-8b&=3.a-8.b \text{ [met a = -2 en b = 5]}\\&=3.(-2)-8.5\\&=-46\\ \end{align}\)
11. \(\begin{align} 3a-6b&=3.a-6.b \text{ [met a = 4 en b = 3]}\\&=3.4-6.3\\&=-6\\ \end{align}\)
12. \(\begin{align} 2a^2+3b&=2.a^2+3.b \text{ [met a = 4 en b = 2]}\\&=2.4^2+3.2\\&=38\\ \end{align}\)