Secondary 3, Mathematics, Worksheet 3: Algebra & Linear Equations – incomplete answers due pending funny symbols entry for answer, tbc
Secondary 3, Mathematics, Worksheet 3: Algebra & Linear Equations – incomplete answers due pending funny symbols entry for answer, tbc
Template:
There are a total of 57 questions.
Time Limit: minutes
====================
Completed:
a) 57 questions already input into LMS. Q6d deleted as requested.
b) categorized.
To follow up:
a) marks allocation (informed by Vik dtd 3/6/2021 @ 1350hrs: more of practise, no marks and no time limit) – amended
b) time limit – – amended
c) model answers and workings / explanations (if any). Missing answer for Q10a. Answer for Q10b = 1.5h (h = hours?) – amended. Q2g question seems incorrect (question amended with workings included (answer not entered due to the need to rectify how students enter funny symbols) – working also attached to PDF).
d) review and determine if format (currently using Fill in the Blanks) / presentation is appropriate
Outstanding answers not yet entered till we can resolve how students enter funny symbols such as square, cube, roots etc: Q2a, Q2c – Q2g, Q3b, Q3e – Q3g, Q3h, Q5, Q11b – Q11c,
NOTE: Also, for answers and workings, cannot type in coding (informed in Whatsapp chat dtd 4/6/2021 @ 1852hrs)
Update as at 15/6/2021:
a) To input workings into LMS: 2g, 10a, 10b (because only these 3 have workings). Workings saved as images and uploaded to LMS. Vik to provide workings for other questions. Already provided and uploaded dtd 6 Jul 2021. Vik to review.
b) Check on fraction answers for Q4c, 5a, 6b, 12C) – model answers input as “/” for fractions – require Vik to review if this is alright or prefer traditional fraction method. – already replied by Vik, amended for workings but problem for student to input of answers.
c) Review Q8a – Q8f and Q9 for free choice format – cannot be done because only accept 1 answer instead of more than 1. Using fill in the blanks, it cannot avoid the problem whereby students enter the same for both (eg instead of x=1, x=1, they entered either x=1,x=1 or x=1, x=1) it shall be marked as correct.
d) Input answers for Q2a, 2c2f, 3b, 3e3g, 3i, 5a5b, 10a10b, 11b11c (1. cannot input because of square and cubes which will only display as coding on screen – with or without “$” for coding. 2. Tried also using spreadsheet superscript to cut n paste into LMS – does not work. 3. Tried using “block code” found in the answer section but cannot be done). Workings done by uploading images.
Update as at 6/7/2021:
a) Q2g amended as requested; Q6d deleted as requested. Answer for Q12e amended from 1 to 0.
b) answer for Q4a division was written as “/” slant, to input as slant?
c) answer for Q5a, maybe better to include explanation on why from divide then becomes “x” and, how “cancellation” is been done. cannot perform cancellation as per workings provided cos it can ended up
d) Q10b there is an alternate answer (previously provided), need to enter as well?
e) Q12g answer / working seems to be wrong
f) Answers for Q3c,d, g to m, does it matters if the answers in brackets are in what order? If not, have to think of a solution to let students answer as if its either way, both should be marked as correct.
NOTE: As there are no points / marks to be allocated, we should consider if the students will then be concerned if it will add on to the scoring for leaderboards.
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Question 1 of 57
1. Question
0 point(s)Given that a = 2. b = 4, c = 5, evaluate:
5a – 2b + 3c

Answer:
CorrectIncorrect 

Question 2 of 57
2. Question
0 point(s)Given that a = 2. b = 4, c = 5, evaluate:
$\frac{(4a+3b)}{c}$

Answer:
CorrectIncorrect 

Question 3 of 57
3. Question
0 point(s)Expand and simplify the following:
2 ( $x^2$ + 7x – 4 ) – x ( 3x – 5 )

Answer：
CorrectIncorrect 

Question 4 of 57
4. Question
0 point(s)Expand and simplify the following:
18x – 2 [ 5x – 2 ( 3 – x ) ]

Answer：
CorrectIncorrect 

Question 5 of 57
5. Question
0 point(s)Expand and simplify the following:
( 5x + 4 )$^2$

Answer：
CorrectIncorrect 

Question 6 of 57
6. Question
0 point(s)Expand and simplify the following:
( 3x + 2y )$^2$

Answer：
CorrectIncorrect 

Question 7 of 57
7. Question
0 point(s)Expand and simplify the following:
( 2x – 1 ) ( x + 4 )

Answer：
CorrectIncorrect 

Question 8 of 57
8. Question
0 point(s)Expand and simplify the following:
( 1 + 2xy ) ( 1 – 2xy )

Answer：
CorrectIncorrect 

Question 9 of 57
9. Question
0 point(s)Expand and simplify the following:
( x + 2y – 1 ) ( x + 2y + 1 )

Answer:
CorrectIncorrect 

Question 10 of 57
10. Question
0 point(s)Factorize the following：
6x – 8

Answer：
CorrectIncorrect 

Question 11 of 57
11. Question
0 point(s)Factorize the following：
2$\pi$r$^2$ + 4$\pi$rh

Answer：
CorrectIncorrect 

Question 12 of 57
12. Question
0 point(s)Factorize the following：
px – 12qy – 4qx + 3py

Answer：
CorrectIncorrect 

Question 13 of 57
13. Question
0 point(s)Factorize the following：
8 (m – 4n ) – p ( 4n – m )

Answer：
CorrectIncorrect 

Question 14 of 57
14. Question
0 point(s)Factorize the following：
$x^2$ + 2x + 1

Answer：
CorrectIncorrect 

Question 15 of 57
15. Question
0 point(s)Factorize the following：
4$y^2$ – 12y + 9

Answer：
CorrectIncorrect 

Question 16 of 57
16. Question
0 point(s)Factorize the following：
9$x^2$ + 24xy + 16$y^2$

Answer：
CorrectIncorrect 

Question 17 of 57
17. Question
0 point(s)Factorize the following：
$x^2$ – 1

Answer：
CorrectIncorrect 

Question 18 of 57
18. Question
0 point(s)Factorize the following：
$x^4$ – 16$y^4$

Answer：
CorrectIncorrect 

Question 19 of 57
19. Question
0 point(s)Factorize the following：
$x^2$ + 5x + 6

Answer：
CorrectIncorrect 

Question 20 of 57
20. Question
0 point(s)Factorize the following：
2$x^2$ – 3x + 1

Answer：
CorrectIncorrect 

Question 21 of 57
21. Question
0 point(s)Factorize the following：
10$x^2$ – 11x – 6

Answer：
CorrectIncorrect 

Question 22 of 57
22. Question
0 point(s)Factorize the following：
17x – 5 – 6$x^2$

Answer：
CorrectIncorrect 

Question 23 of 57
23. Question
0 point(s)Solve the following equation:
5x – 3 = 17

Answer：
CorrectIncorrect 

Question 24 of 57
24. Question
0 point(s)Solve the following equation:
$\frac{1}{2}$x = 8

Answer：
CorrectIncorrect 

Question 25 of 57
25. Question
0 point(s)Solve the following equation:
3 ( x + 2 ) = 4

Answer：
CorrectIncorrect 

Question 26 of 57
26. Question
0 point(s)Solve the following equation:
7x – 4 ( 3 – x ) = 31 – 3 ( x + 5 )

Answer：
CorrectIncorrect 

Question 27 of 57
27. Question
0 point(s)Simplify the following:
$\frac{3ab^2}{10c^3}$ + $\frac{2b^5}{5ac^2}$

Answer：
CorrectIncorrect 

Question 28 of 57
28. Question
0 point(s)Simplify the following:
$\frac{ 3 }{ 2x – 1 }$ – $\frac{ 2 }{ 5x + 2 }$

Answer：
CorrectIncorrect 

Question 29 of 57
29. Question
0 point(s)Solve the following equation:
$\frac{2}{x}$ = 5

Answer：
CorrectIncorrect 

Question 30 of 57
30. Question
0 point(s)Solve the following equation:
$\frac{5}{(x+1)}$ + $\frac{3}{x}$ = 0

Answer：
CorrectIncorrect 

Question 31 of 57
31. Question
0 point(s)Solve the following equation:
5 / ( y – 2 ) = 3/y
$\frac{5}{(y2)}$ = $\frac{3}{y}$

Answer：
CorrectIncorrect 

Question 32 of 57
32. Question
0 point(s)Solve the following simultaneous equation：
2x – 3y = 12
3x + 2y = 5
Answer：
x =
y =
CorrectIncorrect 

Question 33 of 57
33. Question
0 point(s)Solve the following simultaneous equation：
X + 2y = 8
3x – 4y = 4
Answer：
x =
y =
CorrectIncorrect 

Question 34 of 57
34. Question
0 point(s)Solve the following simultaneous equation：
3x + 5y = x – y = 8

Answer：
x =
y =
CorrectIncorrect 

Question 35 of 57
35. Question
0 point(s)Solve the following equation：
$x^2$ – 9x = 0

Answer：
x =
x =
CorrectIncorrect 

Question 36 of 57
36. Question
0 point(s)Solve the following equation：
$x^2$ – 5x + 6 = 0

Answer：
x =
x =
CorrectIncorrect 

Question 37 of 57
37. Question
0 point(s)Solve the following equation：
2$x^2$ + 3x = 2

Answer：
x =
x =
CorrectIncorrect 

Question 38 of 57
38. Question
0 point(s)Solve the following equation：
( x – 2 )$^2$ = 16

Answer：
x =
x =
CorrectIncorrect 

Question 39 of 57
39. Question
0 point(s)Solve the following equation：
( x + 3 )$^2$ = 5

Answer：
x =
x =
CorrectIncorrect 

Question 40 of 57
40. Question
0 point(s)Solve the following equation：
( 2x – 1 )$^2$ = 9

Answer：
x =
x =
CorrectIncorrect 

Question 41 of 57
41. Question
0 point(s)Solve the following equation, give your answers correct to 2 decimal places where necessary:
x$^2$ + 6x – 5 = 0

Answer：
x =
x =
CorrectIncorrect 

Question 42 of 57
42. Question
0 point(s)Solve the following equation, give your answers correct to 2 decimal places where necessary:
2x$^2$ – 3x – 4 = 0

Answer：
x =
x =
CorrectIncorrect 

Question 43 of 57
43. Question
0 point(s)Solve the following equation, give your answers correct to 2 decimal places where necessary:
x$^2$ + 3x – 2 = 0

Answer：
x =
x =
CorrectIncorrect 

Question 44 of 57
44. Question
0 point(s)Solve the following equation, give your answers correct to 2 decimal places where necessary:
2x$^2$ = 9x – 3

Answer：
x =
x =
CorrectIncorrect 

Question 45 of 57
45. Question
0 point(s)A motorist travelled from Town A to Town B which was 135 km apart. After travelling 60 km at an average speed of x km/h, he increased his average speed by 10 km/h for the remaining journey. He took 3 hours to complete his journey.
Question: Form an equation in terms of x and show that it reduces to x$^2$ – 35x – 200 =0
Answer：
CorrectIncorrect 

Question 46 of 57
46. Question
0 point(s)A motorist travelled from Town A to Town B which was 135 km apart. After travelling 60 km at an average speed of x km/h, he increased his average speed by 10 km/h for the remaining journey. He took 3 hours to complete his journey.
Question: Solve this equation to find the value x. Hence, find the time taken for the second part of the journey.
Answer： hours
CorrectIncorrect 

Question 47 of 57
47. Question
0 point(s)Solve the following inequalities:
5x – 1 > 11 + 3x

Answer：
CorrectIncorrect 

Question 48 of 57
48. Question
0 point(s)Solve the following inequalities:
8 – 5x $\leq$ 4 + 2 ( 5 – x )

Answer：
CorrectIncorrect 

Question 49 of 57
49. Question
0 point(s)Solve the following inequalities:
2x – 3 > 5 and 7x + 4 $\leq$ 60

Answer：
CorrectIncorrect 

Question 50 of 57
50. Question
0 point(s)Solve the following inequalities:
6 < 3x – 5 < 10

Answer：
CorrectIncorrect 

Question 51 of 57
51. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The greatest value of x + y.

Answer：
CorrectIncorrect 

Question 52 of 57
52. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The greatest value of y – x.

Answer：
CorrectIncorrect 

Question 53 of 57
53. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The greatest value of $\frac{x}{y}$.

Answer：
CorrectIncorrect 

Question 54 of 57
54. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The least value of x$^2$ + y$^2$.

Answer：
CorrectIncorrect 

Question 55 of 57
55. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The least value of ( x – y )$^2$.

Answer：
CorrectIncorrect 

Question 56 of 57
56. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The least value of xy.

Answer：
CorrectIncorrect 

Question 57 of 57
57. Question
0 point(s)Given that 5 $\leq$ x $\leq$ 2 and 3 $\leq$ 5, find:
The value of x when x$^2$ = 25.

Answer：
CorrectIncorrect 