Lettervormen getalwaarde

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Bereken de getalwaarde

1. \(4a^2+b\text{ [met a = -2 en b = 5]}\)
2. \(a^2+6b\text{ [met a = -2 en b = -2]}\)
3. \(10a-2b\text{ [met a = 3 en b = -3]}\)
4. \(8a-5b\text{ [met a = -2 en b = -2]}\)
5. \(4ab-4b+13\text{ [met a = 2 en b = 4]}\)
6. \(9a+b\text{ [met a = -4 en b = 4]}\)
7. \(ab-b-2\text{ [met a = 3 en b = -2]}\)
8. \(6a-2b\text{ [met a = -4 en b = -4]}\)
9. \(a^2-2b\text{ [met a = -1 en b = 3]}\)
10. \(5a^2+2b\text{ [met a = -3 en b = -1]}\)
11. \(6a-b\text{ [met a = -5 en b = 4]}\)
12. \(5a^2+3b\text{ [met a = 5 en b = 6]}\)

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 4a^2+b&=4.a^2+1.b \text{ [met a = -2 en b = 5]}\\&=4.(-2)^2+1.5\\&=21\\ \end{align}\)
2. \(\begin{align} a^2+6b&=1.a^2+6.b \text{ [met a = -2 en b = -2]}\\&=1.(-2)^2+6.(-2)\\&=-8\\ \end{align}\)
3. \(\begin{align} 10a-2b&=10.a-2.b \text{ [met a = 3 en b = -3]}\\&=10.3-2.(-3)\\&=36\\ \end{align}\)
4. \(\begin{align} 8a-5b&=8.a-5.b \text{ [met a = -2 en b = -2]}\\&=8.(-2)-5.(-2)\\&=-6\\ \end{align}\)
5. \(\begin{align} 4ab-4b+13&=4.a.b-4.b+13 \text{ [met a = 2 en b = 4]}\\&=4.2.4-4.4+13\\&=29\\ \end{align}\)
6. \(\begin{align} 9a+b&=9.a+1.b \text{ [met a = -4 en b = 4]}\\&=9.(-4)+1.4\\&=-32\\ \end{align}\)
7. \(\begin{align} ab-b-2&=1.a.b-1.b-2 \text{ [met a = 3 en b = -2]}\\&=1.3.(-2)-1.(-2)-2\\&=-6\\ \end{align}\)
8. \(\begin{align} 6a-2b&=6.a-2.b \text{ [met a = -4 en b = -4]}\\&=6.(-4)-2.(-4)\\&=-16\\ \end{align}\)
9. \(\begin{align} a^2-2b&=1.a^2-2.b \text{ [met a = -1 en b = 3]}\\&=1.(-1)^2-2.3\\&=-5\\ \end{align}\)
10. \(\begin{align} 5a^2+2b&=5.a^2+2.b \text{ [met a = -3 en b = -1]}\\&=5.(-3)^2+2.(-1)\\&=43\\ \end{align}\)
11. \(\begin{align} 6a-b&=6.a-1.b \text{ [met a = -5 en b = 4]}\\&=6.(-5)-1.4\\&=-34\\ \end{align}\)
12. \(\begin{align} 5a^2+3b&=5.a^2+3.b \text{ [met a = 5 en b = 6]}\\&=5.5^2+3.6\\&=143\\ \end{align}\)