Lettervormen getalwaarde

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Bereken de getalwaarde

1. \(2a+3b\text{ [met a = 1 en b = -5]}\)
2. \(ab+2b-14\text{ [met a = -2 en b = -4]}\)
3. \(4ab+2b+14\text{ [met a = 5 en b = -1]}\)
4. \(ab-2b+5\text{ [met a = 4 en b = -5]}\)
5. \(2ab+5b-14\text{ [met a = 1 en b = 4]}\)
6. \(5ab+4b+2\text{ [met a = 4 en b = -4]}\)
7. \(2a^2-6b\text{ [met a = -3 en b = 1]}\)
8. \(3ab-b+5\text{ [met a = 5 en b = 3]}\)
9. \(4ab+3b+4\text{ [met a = 1 en b = -5]}\)
10. \(5ab-b-2\text{ [met a = 6 en b = 5]}\)
11. \(8a-2b\text{ [met a = -2 en b = 2]}\)
12. \(2a^2+b\text{ [met a = 4 en b = 1]}\)

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} 2a+3b&=2.a+3.b \text{ [met a = 1 en b = -5]}\\&=2.1+3.(-5)\\&=-13\\ \end{align}\)
2. \(\begin{align} ab+2b-14&=1.a.b+2.b-14 \text{ [met a = -2 en b = -4]}\\&=1.(-2).(-4)+2.(-4)-14\\&=-14\\ \end{align}\)
3. \(\begin{align} 4ab+2b+14&=4.a.b+2.b+14 \text{ [met a = 5 en b = -1]}\\&=4.5.(-1)+2.(-1)+14\\&=-8\\ \end{align}\)
4. \(\begin{align} ab-2b+5&=1.a.b-2.b+5 \text{ [met a = 4 en b = -5]}\\&=1.4.(-5)-2.(-5)+5\\&=-5\\ \end{align}\)
5. \(\begin{align} 2ab+5b-14&=2.a.b+5.b-14 \text{ [met a = 1 en b = 4]}\\&=2.1.4+5.4-14\\&=14\\ \end{align}\)
6. \(\begin{align} 5ab+4b+2&=5.a.b+4.b+2 \text{ [met a = 4 en b = -4]}\\&=5.4.(-4)+4.(-4)+2\\&=-94\\ \end{align}\)
7. \(\begin{align} 2a^2-6b&=2.a^2-6.b \text{ [met a = -3 en b = 1]}\\&=2.(-3)^2-6.1\\&=12\\ \end{align}\)
8. \(\begin{align} 3ab-b+5&=3.a.b-1.b+5 \text{ [met a = 5 en b = 3]}\\&=3.5.3-1.3+5\\&=47\\ \end{align}\)
9. \(\begin{align} 4ab+3b+4&=4.a.b+3.b+4 \text{ [met a = 1 en b = -5]}\\&=4.1.(-5)+3.(-5)+4\\&=-31\\ \end{align}\)
10. \(\begin{align} 5ab-b-2&=5.a.b-1.b-2 \text{ [met a = 6 en b = 5]}\\&=5.6.5-1.5-2\\&=143\\ \end{align}\)
11. \(\begin{align} 8a-2b&=8.a-2.b \text{ [met a = -2 en b = 2]}\\&=8.(-2)-2.2\\&=-20\\ \end{align}\)
12. \(\begin{align} 2a^2+b&=2.a^2+1.b \text{ [met a = 4 en b = 1]}\\&=2.4^2+1.1\\&=33\\ \end{align}\)