Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 6a+10b&=6.a+10.b \text{ [met a = -1 en b = -2]}\\&=6.(-1)+10.(-2)\\&=-26\\ \end{align}\)
2. \(\begin{align} 2a^2-4b&=2.a^2-4.b \text{ [met a = -4 en b = 6]}\\&=2.(-4)^2-4.6\\&=8\\ \end{align}\)
3. \(\begin{align} 5a^2+b&=5.a^2+1.b \text{ [met a = 2 en b = 2]}\\&=5.2^2+1.2\\&=22\\ \end{align}\)
4. \(\begin{align} 5a-6b&=5.a-6.b \text{ [met a = 2 en b = 3]}\\&=5.2-6.3\\&=-8\\ \end{align}\)
5. \(\begin{align} 3a^2-2b&=3.a^2-2.b \text{ [met a = 1 en b = -3]}\\&=3.1^2-2.(-3)\\&=9\\ \end{align}\)
6. \(\begin{align} 5a+4b&=5.a+4.b \text{ [met a = 2 en b = -2]}\\&=5.2+4.(-2)\\&=2\\ \end{align}\)
7. \(\begin{align} 2ab+3b-11&=2.a.b+3.b-11 \text{ [met a = 4 en b = -5]}\\&=2.4.(-5)+3.(-5)-11\\&=-66\\ \end{align}\)
8. \(\begin{align} ab+2b+4&=1.a.b+2.b+4 \text{ [met a = -4 en b = -5]}\\&=1.(-4).(-5)+2.(-5)+4\\&=14\\ \end{align}\)
9. \(\begin{align} 5ab-4b+8&=5.a.b-4.b+8 \text{ [met a = -1 en b = 1]}\\&=5.(-1).1-4.1+8\\&=-1\\ \end{align}\)
10. \(\begin{align} 4a^2-4b&=4.a^2-4.b \text{ [met a = 5 en b = 4]}\\&=4.5^2-4.4\\&=84\\ \end{align}\)
11. \(\begin{align} 3a^2+5b&=3.a^2+5.b \text{ [met a = 3 en b = -5]}\\&=3.3^2+5.(-5)\\&=2\\ \end{align}\)
12. \(\begin{align} 5a^2+4b&=5.a^2+4.b \text{ [met a = 6 en b = -5]}\\&=5.6^2+4.(-5)\\&=160\\ \end{align}\)