From Förberedande kurs i matematik 1
Exercise 2.2:1
Solve the equations
a)
| x−2=−1
| b)
| 2x+1=13
|
c)
| 31x−1=x
| d)
| 5x+7=2x−6
|
Svar 2.2:1
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Exercise 2.2:2
Solve the equations
a)
| 65x−9x+2=21
| b)
| 78x+3−45x−7=2
|
c)
| (x+3)2−(x−5)2=6x+4
| d)
| (x2+4x+1)2+3x4−2x2=(2x2+2x+3)2
|
Svar 2.2:2
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Exercise 2.2:3
Svar 2.2:3
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Exercise 2.2:4
a)
| Write the equation for the line y=2x+3 in the form ax+by=c
|
b)
| Write the equation for the line 3x+4y−5=0 in the form y=kx+m
|
Svar 2.2:4
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Exercise 2.2:5
a)
| Determine the equation for the straight line that goes between the points (2 3) and(3 0)
|
b)
| Determine the equation for the straight line that has gradient −3 and goes through the point (1 −2)
|
c)
| Determine the equation for the straight line that goes through the point (−1 2) and is parallel to the line y=3x+1
|
d)
| Determine the equation for the straight line that goes through the point (2 4) and is perpendicular to the line y=2x+5
|
e)
| Determine the slope, k for the straight line that cuts the x-axis at the point (5 0) and y-axis at the point (0 −8)
|
Svar 2.2:5
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Exercise 2.2:6
Finn skärningspunkten mellan följande linjer
a)
| y=3x+5 och x-axeln
| b)
| y=−x+5 och y-axeln
|
c)
| 4x+5y+6=0 och y-axeln
| d)
| x+y+1=0 och x=12
|
e)
| 2x+y−1=0 och y−2x−2=0
|
Svar 2.2:6
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Exercise 2.2:7
Skissera grafen till följande funktioner
a)
| f(x)=3x−2
| b)
| f(x)=2−x
| c)
| f(x)=2
|
Svar 2.2:7
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Exercise 2.2:8
Rita in i ett xy-plan alla punkter vars koordinater (x
y) uppfyller
Svar 2.2:8
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Exercise 2.2:9
Svar 2.2:9
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