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Bogstavregning - VUC Aarhus

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Matematik på AVU<br />

Opgaver til niveau G<br />

36: Løs (nogle af) disse ligninger. Måske kan du gætte nogle af resultaterne.<br />

2 ⋅ x<br />

a: = 8<br />

3<br />

4<br />

3x<br />

b: x = 12<br />

c: = 24<br />

5<br />

7<br />

d:<br />

5⋅<br />

x<br />

45 = e:<br />

8<br />

x ⋅ 5<br />

7 ⋅ x<br />

28 = f: = 5, 6<br />

13<br />

9<br />

37: Løs (nogle af) disse ligninger. Måske kan du gætte nogle af resultaterne.<br />

x + 4<br />

a: = 6<br />

2<br />

11+<br />

x<br />

b: = 7<br />

4<br />

x ⋅ 4<br />

c: + 2 = 10<br />

3<br />

d: ( x + 3) ⋅ 2 = 14<br />

e: ( 8 − x) ⋅ 4 = 20<br />

f: ( 15 + x) : 4 = 11<br />

g: ( x + 12) : 2 = 10<br />

h: 8 ⋅ ( x − 6) = 34<br />

i: ( 7,2 + x) ⋅ 4 = 82<br />

4,2x<br />

j: 2 = −1,<br />

5<br />

k:<br />

3<br />

2x + 28<br />

4x + 42<br />

6 = l: = 12<br />

8<br />

8,5<br />

38: Løs (nogle af) disse ligninger:<br />

a: 6 ⋅ x − 5 = 4 ⋅ x + 1<br />

b: 8 ⋅ x −15<br />

= 5 ⋅ x + 6<br />

c: 7 x − 22 = x + 8<br />

d: 7x − 51 = 2x − 6<br />

e: 2 ⋅ x + 5 = 4 ⋅ x −11<br />

f: 9x<br />

+ 15 = 14x − 3<br />

39: Løs (nogle af) disse ligninger. Flere af resultaterne er negative tal.<br />

a: 3 ⋅ x + 18 = 12<br />

b: 2x + 10 = 4<br />

c: 2x − 7 = −15<br />

d: 4x − 3 = x + 18<br />

e: 6 ⋅ x − 7 = −19<br />

f: 2x + 5 = 3x + 9<br />

x<br />

x<br />

g: + 8 = 13<br />

h: 4 = + 6<br />

i: x : 5 + 8 = 2<br />

2<br />

5<br />

40: Løs (nogle af) disse ligninger:<br />

a: 4 ⋅ x −10<br />

+ 2x = 4 ⋅ x<br />

b: 6 + (x − 5) = 2 ⋅ x − 7<br />

c: 7x − 3 = 4(x + 2) + 2x − 8<br />

d: 2 + 5(x − 4) − 2x = x + 6<br />

<strong>Bogstavregning</strong> Side 83

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