Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 5a^2+5b&=5.a^2+5.b \text{ [met a = 2 en b = -3]}\\&=5.2^2+5.(-3)\\&=5\\ \end{align}\)
2. \(\begin{align} a^2-5b&=1.a^2-5.b \text{ [met a = 6 en b = 6]}\\&=1.6^2-5.6\\&=6\\ \end{align}\)
3. \(\begin{align} 4ab+2b+5&=4.a.b+2.b+5 \text{ [met a = 2 en b = 3]}\\&=4.2.3+2.3+5\\&=35\\ \end{align}\)
4. \(\begin{align} 2a+b&=2.a+1.b \text{ [met a = 3 en b = -1]}\\&=2.3+1.(-1)\\&=5\\ \end{align}\)
5. \(\begin{align} a-5b&=1.a-5.b \text{ [met a = 4 en b = -3]}\\&=1.4-5.(-3)\\&=19\\ \end{align}\)
6. \(\begin{align} 2a^2-6b&=2.a^2-6.b \text{ [met a = -2 en b = 2]}\\&=2.(-2)^2-6.2\\&=-4\\ \end{align}\)
7. \(\begin{align} 4a-3b&=4.a-3.b \text{ [met a = 2 en b = -1]}\\&=4.2-3.(-1)\\&=11\\ \end{align}\)
8. \(\begin{align} a^2+6b&=1.a^2+6.b \text{ [met a = -5 en b = 1]}\\&=1.(-5)^2+6.1\\&=31\\ \end{align}\)
9. \(\begin{align} 3a^2-2b&=3.a^2-2.b \text{ [met a = 4 en b = 3]}\\&=3.4^2-2.3\\&=42\\ \end{align}\)
10. \(\begin{align} a+b&=1.a+1.b \text{ [met a = 1 en b = 4]}\\&=1.1+1.4\\&=5\\ \end{align}\)
11. \(\begin{align} 2a+4b&=2.a+4.b \text{ [met a = -3 en b = -1]}\\&=2.(-3)+4.(-1)\\&=-10\\ \end{align}\)
12. \(\begin{align} 6a-b&=6.a-1.b \text{ [met a = -4 en b = 5]}\\&=6.(-4)-1.5\\&=-29\\ \end{align}\)