Question

question 20 (week 5-8: comprehensive)
a student scores 75% on a test. if the test is out of 80 marks, how many marks did they score?
a. 55 marks
b. 60 marks
c. 65 marks
d. 70 marks

question 21 (week 10: perfect squares)
expand \\((x + 3)^2\\)
a. \\(x^2 + 9\\)
b. \\(x^2 + 6x + 9\\)
c. \\(x^2 + 3x + 9\\)
d. \\(x + 6x + 9\\)

question 22 (week 10: difference of two squares)
factorise \\(x^2 - 25\\)
a. \\((x + 5)(x - 5)\\)
b. \\((x + 5)^2\\)
c. \\((x - 5)^2\\)
d. \\((x + 25)(x - 1)\\)

question 23 (week 10: algebraic fractions)
for which value is \\(\frac{x}{x-3}\\) undefined?
a. \\(x = 0\\)
b. \\(x = 1\\)
c. \\(x = 3\\)
d. \\(x = -3\\)

question 24 (week 11: linear equations)
solve: \\(2x - 5 = 11\\)
a. \\(x = 3\\)
b. \\(x = 6\\)
c. \\(x = 8\\)
d. \\(x = 16\\)

question 25 (week 11: linear inequalities)
solve: \\(x + 3 < 8\\)
a. \\(x < 5\\)
b. \\(x > 5\\)
c. \\(x \le 5\\)
d. \\(x \ge 5\\)

question 26 (week 11: inequalities with negatives)
solve: \\(-2x > 6\\)
a. \\(x > -3\\)
b. \\(x < -3\\)
c. \\(x > 3\\)
d. \\(x < 3\\)

question 27 (week 12: systems - substitution)
solve: \\(x + y = 5\\) and \\(x - y = 1\\)
a. \\((2,3)\\)
b. \\((3,2)\\)
c. \\((1,4)\\)
d. \\((4,1)\\)

question 28 (week 12: systems - elimination)
solve: \\(2x + y = 5\\) and \\(x - y = 1\\)
a. \\((1,3)\\)
b. \\((2,1)\\)
c. \\((3,1)\\)
d. \\((1,2)\\)

question 29 (week 12: system classification)
what type of system is:
\\(x + y = 3\\) and \\(2x + 2y = 6\\)?
a. consistent and independent
b. consistent and dependent
c. inconsistent
d. no solution

question 30 (week 9-12: comprehensive)
solve: \\(3x + 4 = 2x + 10\\)
a. \\(x = 6\\)
b. \\(x = 5\\)
c. \\(x = 4\\)
d. \\(x = 3\\)

section b: short answer questions
instructions: write your final answer clearly.
total marks: 10 (5 marks each)

question 1 (week 2-3: sets and properties) 5 marks
if \\(a = \\{1,2,3,4\\}\\) and \\(b = \\{3,4,5,6\\}\\):
a) find \\(a \cup b\\) (1 mark)
b) find \\(a \cap b\\) (1 mark)
c) identify the property: \\(7 + 3 = 3 + 7\\) (1 mark)
d) find the additive inverse of -5 (1 mark)
e) find the multiplicative inverse of \\(\frac{1}{2}\\) (1 mark)

Explanation:

Answer:

Question 20: B. 60 marks
Question 21: B. \(x^2 + 6x + 9\)
Question 22: A. \((x + 5)(x - 5)\)
Question 23: C. \(x = 3\)
Question 24: C. \(x = 8\)
Question 25: A. \(x \< 5\)
Question 26: B. \(x \< -3\)
Question 27: B. (3,2)
Question 28: B. (2,1)
Question 29: B. Consistent and dependent
Question 30: A. \(x = 6\)