Lettervormen getalwaarde

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Bereken de getalwaarde

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

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Bereken de getalwaarde

Verbetersleutel

1. \(\begin{align} ab-2b-11&=1.a.b-2.b-11 \text{ [met a = 4 en b = 2]}\\&=1.4.2-2.2-11\\&=-7\\ \end{align}\)
2. \(\begin{align} 2a+10b&=2.a+10.b \text{ [met a = 5 en b = 5]}\\&=2.5+10.5\\&=60\\ \end{align}\)
3. \(\begin{align} a^2+2b&=1.a^2+2.b \text{ [met a = -3 en b = 4]}\\&=1.(-3)^2+2.4\\&=17\\ \end{align}\)
4. \(\begin{align} 4a^2+3b&=4.a^2+3.b \text{ [met a = -4 en b = 3]}\\&=4.(-4)^2+3.3\\&=73\\ \end{align}\)
5. \(\begin{align} 2a^2-2b&=2.a^2-2.b \text{ [met a = 2 en b = 3]}\\&=2.2^2-2.3\\&=2\\ \end{align}\)
6. \(\begin{align} 3ab-b+11&=3.a.b-1.b+11 \text{ [met a = -3 en b = 1]}\\&=3.(-3).1-1.1+11\\&=1\\ \end{align}\)
7. \(\begin{align} 2a-5b&=2.a-5.b \text{ [met a = 5 en b = -3]}\\&=2.5-5.(-3)\\&=25\\ \end{align}\)
8. \(\begin{align} a^2-3b&=1.a^2-3.b \text{ [met a = -4 en b = 2]}\\&=1.(-4)^2-3.2\\&=10\\ \end{align}\)
9. \(\begin{align} 5a^2+4b&=5.a^2+4.b \text{ [met a = -2 en b = 6]}\\&=5.(-2)^2+4.6\\&=44\\ \end{align}\)
10. \(\begin{align} a^2+b&=1.a^2+1.b \text{ [met a = 1 en b = 5]}\\&=1.1^2+1.5\\&=6\\ \end{align}\)
11. \(\begin{align} 8a-5b&=8.a-5.b \text{ [met a = 3 en b = 2]}\\&=8.3-5.2\\&=14\\ \end{align}\)
12. \(\begin{align} 3ab-5b+1&=3.a.b-5.b+1 \text{ [met a = -4 en b = -4]}\\&=3.(-4).(-4)-5.(-4)+1\\&=69\\ \end{align}\)