Upload
epic-win
View
219
Download
0
Embed Size (px)
Citation preview
8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions
http://slidepdf.com/reader/full/g-levelv2macnvc08k1algebrafunctions 1/5
Solutions Test G-Level MaC1NVC08 K1 Algebra & Functions NV-College
G-Level Test on Algebra and Functions:
Second Grade Equations, Simultaneous Equations
MaCNVCO08
Warning: There are more than one versions of the test.
Instructions
Test period 14:10-15:20.You are not allowed to use calculator in this part.
Resources Formula sheet, your personalised formula booklet, ruler and protractor.
The test For most items a single answer is not enough. It is also expected
• that you write down what you do
• that you explain/motivate your reasoning
• that you draw any necessary illustrations.
Try all of the problems. It can be relatively easy, even towards the end of
the test, to receive some points for partial solutions. A positive evaluation
can be given even for unfinished solutions.
Score and The maximum score is 30 G points..
mark levels
The maximum number of points you can receive for each solution is
indicated after each problem. If a problem can give 2 ”Pass”-points and 1
”Pass with distinction”-point this is written [2/1]. Some problems are
marked with ¤ , which means that they more than other problems offer
opportunities to show knowledge that can be related to the criteria for ”Pass
with Special Distinction” in Assessment Criteria 2000.
Lower limit for the mark on the test
G: Pass: 15 points
VG: Pass with distinction: At least 25 points on this test, and the required level
of illustration of performance on part II. Tomorrow!
MVG: Pass with special distinction: At least 25 points on this test, and the required level
of illustration of performance on part II. Tomorrow!
Only the marked problems in the box below will be graded.
1a 1b 1c 1d 1e 2a 2b 2c 2d 2e 3 4 Sum Grade
2 2 2 2 4 1 1 2 1 4 4 5 30
©[email protected] Not for sale. Free to use for educational purposes 1
8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions
http://slidepdf.com/reader/full/g-levelv2macnvc08k1algebrafunctions 2/5
Solutions Test G-Level MaC1NVC08 K1 Algebra & Functions NV-College
Solve all of the problems in test sheet in the space available:
1. Simplify the following expressions as far as possible:
(a) 2510
252
2
++
−
x x
x[2/0]
Solution:
(b) ( ) x x x
1
1
1−
+[2/0]
Solution:
(c) ba
ba
baba
ba
25
25
42025
42522
22
+
−⋅
+−
−[2/0]
Solution:
(d) 27log9log3log 333 −+ [2/0]
Solution:
(e) ( ) ⎟⎟ ⎠
⎞⎜⎜⎝
⎛ +⎟
⎠
⎞⎜⎝
⎛ −
1000log
100log10log
3
2
x
x x [4/0]
Solution:
©[email protected] Not for sale. Free to use for educational purposes 2
8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions
http://slidepdf.com/reader/full/g-levelv2macnvc08k1algebrafunctions 3/5
Solutions Test G-Level MaC1NVC08 K1 Algebra & Functions NV-College
2. Solve the following equations. Show the detail of your solutions. Give the answers in the
surd (exact) form.
(a) 02832 =−− x x [1/0]
Solution:
(b) 200100 5= x [1/0]
Solution:
(c) 4
3
3
4 −=
+
x
x[2/0]
Solution:
(d) 43 = x [1/0]
Solution:
(e) ( ) 1423log7=− x [4/0]
Solution:
©[email protected] Not for sale. Free to use for educational purposes 3
8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions
http://slidepdf.com/reader/full/g-levelv2macnvc08k1algebrafunctions 4/5
Solutions Test G-Level MaC1NVC08 K1 Algebra & Functions NV-College
3. Find the equation of the parabola illustrated in the figure below. The graph passes through
the points ( )0,1− , ( )0,2 , and ( )6,0 as demonstrated in the figure. Show the details of
your solutions. [4/0]
-4
-2
0
2
4
6
8
-2 -1 0 1 2 3
x
y
Solutions:
©[email protected] Not for sale. Free to use for educational purposes 4
8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions
http://slidepdf.com/reader/full/g-levelv2macnvc08k1algebrafunctions 5/5
Solutions Test G-Level MaC1NVC08 K1 Algebra & Functions NV-College
4. Find the equation of the exponential function illustrated in the figure below. The graph
passes through the points ( )800,0 , ( )400,1 , and ( )100,3 as demonstrated in the figure.
Show the details of your solutions. [5/0]
0
100
200
300
400
500
600
700
800
900
-1 0 1 2 3 4
x
y
Solutions:
©[email protected] Not for sale. Free to use for educational purposes 5