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2.2 Übungen

Aus Online Mathematik Brückenkurs 1

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===Exercise 2.2:1===
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===Übung 2.2:1===
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Solve the equations
Solve the equations
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</div>{{#NAVCONTENT:Answer|Answer 2.2:1|Solution a|Solution 2.2:1a|Solution b|Solution 2.2:1b|Solution c|Solution 2.2:1c|Solution d|Solution 2.2:1d}}
</div>{{#NAVCONTENT:Answer|Answer 2.2:1|Solution a|Solution 2.2:1a|Solution b|Solution 2.2:1b|Solution c|Solution 2.2:1c|Solution d|Solution 2.2:1d}}
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===Exercise 2.2:2===
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===Übung 2.2:2===
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Solve the equations
Solve the equations
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</div>{{#NAVCONTENT:Answer|Answer 2.2:2|Solution a|Solution 2.2:2a|Solution b|Solution 2.2:2b|Solution c|Solution 2.2:2c|Solution d|Solution 2.2:2d}}
</div>{{#NAVCONTENT:Answer|Answer 2.2:2|Solution a|Solution 2.2:2a|Solution b|Solution 2.2:2b|Solution c|Solution 2.2:2c|Solution d|Solution 2.2:2d}}
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===Exercise 2.2:3===
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===Übung 2.2:3===
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Solve the equations
Solve the equations
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</div>{{#NAVCONTENT:Answer|Answer 2.2:3|Solution a|Solution 2.2:3a|Solution b|Solution 2.2:3b|Solution c|Solution 2.2:3c|Solution d|Solution 2.2:3d}}
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===Exercise 2.2:4===
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===Übung 2.2:4===
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{| width="100%" cellspacing="10px"
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</div>{{#NAVCONTENT:Answer|Answer 2.2:4|Solution a|Solution 2.2:4a|Solution b|Solution 2.2:4b}}
</div>{{#NAVCONTENT:Answer|Answer 2.2:4|Solution a|Solution 2.2:4a|Solution b|Solution 2.2:4b}}
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===Exercise 2.2:5===
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===Übung 2.2:5===
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</div>{{#NAVCONTENT:Answer|Answer 2.2:5|Solution a|Solution 2.2:5a|Solution b|Solution 2.2:5b|Solution c|Solution 2.2:5c|Solution d|Solution 2.2:5d|Solution e|Solution 2.2:5e}}
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===Exercise 2.2:6===
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===Übung 2.2:6===
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Find the points of intersection between the pairs of lines in the following
Find the points of intersection between the pairs of lines in the following
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</div>{{#NAVCONTENT:Answer|Answer 2.2:6|Solution a|Solution 2.2:6a|Solution b|Solution 2.2:6b|Solution c|Solution 2.2:6c|Solution d|Solution 2.2:6d|Solution e|Solution 2.2:6e}}
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===Exercise 2.2:7===
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===Übung 2.2:7===
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Sketch the graph of the functions
Sketch the graph of the functions
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</div>{{#NAVCONTENT:Answer|Answer 2.2:7|Solution a|Solution 2.2:7a|Solution b|Solution 2.2:7b|Solution c|Solution 2.2:7c}}
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===Exercise 2.2:8===
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===Übung 2.2:8===
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In the ''xy''-plane, fill in all the points whose coordinates <math>\,(x,y)\,</math> satisfy
In the ''xy''-plane, fill in all the points whose coordinates <math>\,(x,y)\,</math> satisfy
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</div>{{#NAVCONTENT:Answer|Answer 2.2:8|Solution a|Solution 2.2:8a|Solution b|Solution 2.2:8b|Solution c|Solution 2.2:8c}}
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===Exercise 2.2:9===
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===Übung 2.2:9===
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Calculate the area of the triangle which
Calculate the area of the triangle which

Version vom 09:14, 22. Okt. 2008

 

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Übung 2.2:1

Solve the equations

a) x−2=−1 b) 2x+1=13
c) 31x−1=x d) 5x+7=2x−6

Answer | Solution a | Solution b | Solution c | Solution d

Übung 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

Answer | Solution a | Solution b | Solution c | Solution d

Übung 2.2:3

Solve the equations

a) x−3x+3−x−2x+5=0
b) 4x4x−7−12x−3=1
c) 1x−1−1x+1x2+21=3x−36x−1 
d) x2−314x+21−12x−322−12x+3112x−31=0 

Answer | Solution a | Solution b | Solution c | Solution d

Übung 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.

Answer | Solution a | Solution b

Übung 2.2:5

a) Determine the equation for the straight line that goes between the points (23) and(30).
b) Determine the equation for the straight line that has slope −3 and goes through the point (1−2).
c) Determine the equation for the straight line that goes through the point (−12) and is parallel to the line y=3x+1.
d) Determine the equation for the straight line that goes through the point (24) 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 (50) and y-axis at the point (0−8).

Answer | Solution a | Solution b | Solution c | Solution d | Solution e

Übung 2.2:6

Find the points of intersection between the pairs of lines in the following

a) y=3x+5  and the x-axis b) y=−x+5  and the y-axis
c) 4x+5y+6=0  and the y-axis d) x+y+1=0  and  x=12
e) \displaystyle 2x+y-1=0\ and \displaystyle \ y-2x-2=0

Answer | Solution a | Solution b | Solution c | Solution d | Solution e

Übung 2.2:7

Sketch the graph of the functions

a) \displaystyle f(x)=3x-2 b) \displaystyle f(x)=2-x c) \displaystyle f(x)=2

Answer | Solution a | Solution b | Solution c

Übung 2.2:8

In the xy-plane, fill in all the points whose coordinates \displaystyle \,(x,y)\, satisfy

a) \displaystyle y \geq x b) \displaystyle y < 3x -4 c) \displaystyle 2x+3y \leq 6

Answer | Solution a | Solution b | Solution c

Übung 2.2:9

Calculate the area of the triangle which

a) has corners at the points \displaystyle \,(1,4)\,, \displaystyle \,(3,3)\, and \displaystyle \,(1,0)\,.
b) is bordered by the lines \displaystyle \ x=2y\,, \displaystyle \ y=4\ and \displaystyle \ y=10-2x\,.
c) is described by the inequalities \displaystyle \ x+y \geq -2\,, \displaystyle \ 2x-y \leq 2\ and \displaystyle \ 2y-x \leq 2\,.

Answer | Solution a | Solution b | Solution c

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/2.2_%C3%9Cbungen“