Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 10a+3b&=10.a+3.b \text{ [met a = -2 en b = 2]}\\&=10.(-2)+3.2\\&=-14\\ \end{align}\)
2. \(\begin{align} a^2+2b&=1.a^2+2.b \text{ [met a = 6 en b = -3]}\\&=1.6^2+2.(-3)\\&=30\\ \end{align}\)
3. \(\begin{align} a^2-3b&=1.a^2-3.b \text{ [met a = -3 en b = -1]}\\&=1.(-3)^2-3.(-1)\\&=12\\ \end{align}\)
4. \(\begin{align} 5a^2-3b&=5.a^2-3.b \text{ [met a = 3 en b = -3]}\\&=5.3^2-3.(-3)\\&=54\\ \end{align}\)
5. \(\begin{align} 5a^2+4b&=5.a^2+4.b \text{ [met a = 1 en b = 1]}\\&=5.1^2+4.1\\&=9\\ \end{align}\)
6. \(\begin{align} 10a+4b&=10.a+4.b \text{ [met a = 3 en b = 1]}\\&=10.3+4.1\\&=34\\ \end{align}\)
7. \(\begin{align} 4a^2-6b&=4.a^2-6.b \text{ [met a = -4 en b = 2]}\\&=4.(-4)^2-6.2\\&=52\\ \end{align}\)
8. \(\begin{align} 2a-8b&=2.a-8.b \text{ [met a = -1 en b = 5]}\\&=2.(-1)-8.5\\&=-42\\ \end{align}\)
9. \(\begin{align} 7a-5b&=7.a-5.b \text{ [met a = 2 en b = -4]}\\&=7.2-5.(-4)\\&=34\\ \end{align}\)
10. \(\begin{align} 3ab-2b+12&=3.a.b-2.b+12 \text{ [met a = 3 en b = 5]}\\&=3.3.5-2.5+12\\&=47\\ \end{align}\)
11. \(\begin{align} 8a-b&=8.a-1.b \text{ [met a = -2 en b = -4]}\\&=8.(-2)-1.(-4)\\&=-12\\ \end{align}\)
12. \(\begin{align} 5ab-2b-1&=5.a.b-2.b-1 \text{ [met a = 5 en b = 2]}\\&=5.5.2-2.2-1\\&=45\\ \end{align}\)