Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 4ab+3b+13&=4.a.b+3.b+13 \text{ [met a = -2 en b = 4]}\\&=4.(-2).4+3.4+13\\&=-7\\ \end{align}\)
2. \(\begin{align} a^2+b&=1.a^2+1.b \text{ [met a = 6 en b = 3]}\\&=1.6^2+1.3\\&=39\\ \end{align}\)
3. \(\begin{align} 3a^2-b&=3.a^2-1.b \text{ [met a = 1 en b = 3]}\\&=3.1^2-1.3\\&=0\\ \end{align}\)
4. \(\begin{align} 8a+9b&=8.a+9.b \text{ [met a = 3 en b = 4]}\\&=8.3+9.4\\&=60\\ \end{align}\)
5. \(\begin{align} 10a-b&=10.a-1.b \text{ [met a = -4 en b = -4]}\\&=10.(-4)-1.(-4)\\&=-36\\ \end{align}\)
6. \(\begin{align} ab-5b+4&=1.a.b-5.b+4 \text{ [met a = -2 en b = -3]}\\&=1.(-2).(-3)-5.(-3)+4\\&=25\\ \end{align}\)
7. \(\begin{align} 7a+2b&=7.a+2.b \text{ [met a = 3 en b = -1]}\\&=7.3+2.(-1)\\&=19\\ \end{align}\)
8. \(\begin{align} 5ab-2b+12&=5.a.b-2.b+12 \text{ [met a = -4 en b = 1]}\\&=5.(-4).1-2.1+12\\&=-10\\ \end{align}\)
9. \(\begin{align} 3a^2+6b&=3.a^2+6.b \text{ [met a = -1 en b = 3]}\\&=3.(-1)^2+6.3\\&=21\\ \end{align}\)
10. \(\begin{align} 4ab+5b+12&=4.a.b+5.b+12 \text{ [met a = 3 en b = 5]}\\&=4.3.5+5.5+12\\&=97\\ \end{align}\)
11. \(\begin{align} ab+3b-7&=1.a.b+3.b-7 \text{ [met a = -1 en b = -1]}\\&=1.(-1).(-1)+3.(-1)-7\\&=-9\\ \end{align}\)
12. \(\begin{align} 4a-4b&=4.a-4.b \text{ [met a = 2 en b = 2]}\\&=4.2-4.2\\&=0\\ \end{align}\)