Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 5a-3b&=5.a-3.b \text{ [met a = 1 en b = 3]}\\&=5.1-3.3\\&=-4\\ \end{align}\)
2. \(\begin{align} 10a+6b&=10.a+6.b \text{ [met a = -1 en b = -4]}\\&=10.(-1)+6.(-4)\\&=-34\\ \end{align}\)
3. \(\begin{align} 3a-5b&=3.a-5.b \text{ [met a = -2 en b = 3]}\\&=3.(-2)-5.3\\&=-21\\ \end{align}\)
4. \(\begin{align} 2a-7b&=2.a-7.b \text{ [met a = -2 en b = 1]}\\&=2.(-2)-7.1\\&=-11\\ \end{align}\)
5. \(\begin{align} 2a^2+4b&=2.a^2+4.b \text{ [met a = 5 en b = 4]}\\&=2.5^2+4.4\\&=66\\ \end{align}\)
6. \(\begin{align} ab-2b-10&=1.a.b-2.b-10 \text{ [met a = -3 en b = -3]}\\&=1.(-3).(-3)-2.(-3)-10\\&=5\\ \end{align}\)
7. \(\begin{align} a^2-3b&=1.a^2-3.b \text{ [met a = -1 en b = 3]}\\&=1.(-1)^2-3.3\\&=-8\\ \end{align}\)
8. \(\begin{align} 2ab+4b+13&=2.a.b+4.b+13 \text{ [met a = -4 en b = 4]}\\&=2.(-4).4+4.4+13\\&=-3\\ \end{align}\)
9. \(\begin{align} 6a+9b&=6.a+9.b \text{ [met a = 5 en b = 3]}\\&=6.5+9.3\\&=57\\ \end{align}\)
10. \(\begin{align} 5a+6b&=5.a+6.b \text{ [met a = -3 en b = -4]}\\&=5.(-3)+6.(-4)\\&=-39\\ \end{align}\)
11. \(\begin{align} ab+5b+7&=1.a.b+5.b+7 \text{ [met a = -1 en b = -5]}\\&=1.(-1).(-5)+5.(-5)+7\\&=-13\\ \end{align}\)
12. \(\begin{align} ab-4b+3&=1.a.b-4.b+3 \text{ [met a = 6 en b = -3]}\\&=1.6.(-3)-4.(-3)+3\\&=-3\\ \end{align}\)