G Level+V2+MaCNVC08+K1+Algebra+&+Functions

8/3/2019 G Level+V2+MaCNVC08+K1+Algebra+&+Functions

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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




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:





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:





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:





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:


G Level+V2+MaCNVC08+K1+Algebra+&+Functions

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