Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} a^2-6b&=1.a^2-6.b \text{ [met a = 5 en b = -2]}\\&=1.5^2-6.(-2)\\&=37\\ \end{align}\)
2. \(\begin{align} a^2+2b&=1.a^2+2.b \text{ [met a = 3 en b = 6]}\\&=1.3^2+2.6\\&=21\\ \end{align}\)
3. \(\begin{align} 2a^2+6b&=2.a^2+6.b \text{ [met a = 4 en b = -1]}\\&=2.4^2+6.(-1)\\&=26\\ \end{align}\)
4. \(\begin{align} 5a^2+3b&=5.a^2+3.b \text{ [met a = -4 en b = -3]}\\&=5.(-4)^2+3.(-3)\\&=71\\ \end{align}\)
5. \(\begin{align} 3ab-5b+1&=3.a.b-5.b+1 \text{ [met a = 1 en b = -2]}\\&=3.1.(-2)-5.(-2)+1\\&=5\\ \end{align}\)
6. \(\begin{align} ab+4b-1&=1.a.b+4.b-1 \text{ [met a = 4 en b = -2]}\\&=1.4.(-2)+4.(-2)-1\\&=-17\\ \end{align}\)
7. \(\begin{align} 4ab-2b-5&=4.a.b-2.b-5 \text{ [met a = 6 en b = -1]}\\&=4.6.(-1)-2.(-1)-5\\&=-27\\ \end{align}\)
8. \(\begin{align} 4a^2-2b&=4.a^2-2.b \text{ [met a = 4 en b = 2]}\\&=4.4^2-2.2\\&=60\\ \end{align}\)
9. \(\begin{align} 5ab+5b-11&=5.a.b+5.b-11 \text{ [met a = 6 en b = -1]}\\&=5.6.(-1)+5.(-1)-11\\&=-46\\ \end{align}\)
10. \(\begin{align} 2a+10b&=2.a+10.b \text{ [met a = -4 en b = -1]}\\&=2.(-4)+10.(-1)\\&=-18\\ \end{align}\)
11. \(\begin{align} 6a+8b&=6.a+8.b \text{ [met a = 3 en b = -4]}\\&=6.3+8.(-4)\\&=-14\\ \end{align}\)
12. \(\begin{align} ab-4b-7&=1.a.b-4.b-7 \text{ [met a = 3 en b = 5]}\\&=1.3.5-4.5-7\\&=-12\\ \end{align}\)