Secondary 1 Mathematics Algebra Functions Quiz

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Secondary 1 Mathematics Quiz - Algebra Functions

Name: ________________________
Class: ________
Date: ____________
Score: _______ / 40

Duration: 60 minutes
Total Marks: 40

Instructions:

• This quiz has 20 questions on Algebra and Functions.
• Section A: 10 short questions (2 marks each). Section B: 6 structured questions (2–3 marks each). Section C: 4 extended questions (3 marks each).
• Show all working clearly. Use $ notation for maths where needed.
• Calculators may be used.

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Section A (Questions 1–10, 2 marks each)

1. Given $f(x) = 2x + 3$, find $f(4)$.
Answer: ________

2. A function is defined by $g(x) = 5 - x$. Find $g(-2)$.
Answer: ________

3. Write the algebraic expression for: "5 more than twice a number $x$".
Answer: ________

4. Simplify: $3a + 4a - 2a$.
Answer: ________

5. Given $h(x) = x^2$, find $h(3)$.
Answer: ________

6. Express "the product of $m$ and $n$ decreased by 7" as an algebraic expression.
Answer: ________

7. Evaluate $p(x) = 4x - 1$ when $x = 0$.
Answer: ________

8. Simplify: $2(3x + 1) - x$.
Answer: ________

9. A taxi fare is \2$plus$$1$per km. Write a function$C(d)$for cost in terms of distance$d$ km.
Answer: ________

10. Find the value of $y$ when $y = 3x - 5$ and $x = 2$.
Answer: ________

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Section B (Questions 11–16, 2–3 marks each)

11. (a) Given $f(x) = 3x - 2$, find $f(5)$. (1 mark)
(b) Hence find $f(5) + f(1)$. (1 mark)
Answers: (a) ____ (b) ____

12. The $n$th term of a sequence is given by $T(n) = 2n + 1$. Find the 10th term. (2 marks)
Answer: ________

13. Simplify: $4x - 2(3x - 5)$. Show your working. (2 marks)
Answer: ________

14. A function machine does: input $x$ → multiply by 3 → add 4. Write the function $f(x)$. (2 marks)
Answer: ________

15. Given $y = 2x + 1$, copy and complete the table below. (3 marks)

$x$	0	1	2
$y$

Answers: $y$ values: ____, ____, ____

16. The graph of $y = 2x + 1$ is a straight line. State its gradient. (2 marks)
Answer: ________

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Section C (Questions 17–20, 3 marks each)

17. A function is $f(x) = 2x + 3$.
(a) Find $f(0)$. (1 mark)
(b) Find $x$ when $f(x) = 11$. (2 marks)
Answers: (a) ____ (b) ____

18. The cost $C$ of buying $n$ notebooks at \3$each plus a fixed$$4$delivery is$C(n) = 3n + 4$. (a) Find the cost of 6 notebooks. (1 mark) (b) If the cost is$$25$, how many notebooks were bought? (2 marks)
Answers: (a) ____ (b) ____

19. Given the linear function $y = -x + 4$:
(a) Find $y$ when $x = -1$. (1 mark)
(b) State the gradient and whether it is positive or negative. (2 marks)
Answers: (a) ____ (b) ____

20. A pattern follows the rule: Stage 1 has 3 dots, Stage 2 has 5 dots, Stage 3 has 7 dots.
(a) Write an expression for the number of dots $D$ at stage $n$. (2 marks)
(b) Find the number of dots at stage 10. (1 mark)
Answers: (a) ____ (b) ____

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Secondary 1 Mathematics Quiz - Algebra Functions (Answer Key)

Total Marks: 40
Topic: Algebra and Functions (Sec 1 syllabus N5, N6)

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Section A Answers (Q1–10, 2 marks each)

1. $f(4) = 2(4) + 3 = 8 + 3 = 11$.
Teaching note: Substitute $x=4$ into $f(x)=2x+3$. Function means replace $x$ with the given number.
Answer: 11 [2]

2. $g(-2) = 5 - (-2) = 5 + 2 = 7$.
Teaching note: Subtracting a negative is adding.
Answer: 7 [2]

3. "5 more than twice $x$" → $2x + 5$.
Teaching note: "twice $x$" is $2x$, "more than" means add.
Answer: $2x+5$ [2]

4. $3a + 4a - 2a = (3+4-2)a = 5a$.
Teaching note: Combine like terms (all have $a$).
Answer: $5a$ [2]

5. $h(3) = 3^2 = 9$.
Teaching note: Square means multiply by itself.
Answer: 9 [2]

6. Product of $m$ and $n$ is $mn$, decreased by 7 → $mn - 7$.
Answer: $mn-7$ [2]

7. $p(0) = 4(0) - 1 = -1$.
Answer: -1 [2]

8. $2(3x+1) - x = 6x + 2 - x = 5x + 2$.
Teaching note: Expand bracket first, then collect like terms.
Answer: $5x+2$ [2]

9. $C(d) = 2 + 1 \times d = 2 + d$ or $C(d)=d+2$.
Answer: $C(d)=d+2$ [2]

10. $y = 3(2) - 5 = 6 - 5 = 1$.
Answer: 1 [2]

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Section B Answers (Q11–16)

11. (a) $f(5) = 3(5)-2 = 13$. (1 mark)
(b) $f(1) = 3(1)-2 = 1$; $13+1=14$. (1 mark)
Answers: (a) 13 (b) 14 [2]

12. $T(10) = 2(10)+1 = 21$.
Teaching note: nth term formula gives term number directly.
Answer: 21 [2]

13. $4x - 2(3x-5) = 4x - 6x + 10 = -2x + 10$.
Marking: Expand correctly (1), simplify (1).
Answer: $-2x+10$ [2]

14. Multiply by 3: $3x$, add 4: $f(x)=3x+4$.
Answer: $f(x)=3x+4$ [2]

15. $x=0$: $y=1$; $x=1$: $y=3$; $x=2$: $y=5$.
Marking: 1 mark each correct value.
Answers: 1, 3, 5 [3]

16. In $y = mx + c$, gradient is $m$. Here $m=2$.
Answer: 2 [2]

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Section C Answers (Q17–20)

17. (a) $f(0)=2(0)+3=3$. (1 mark)
(b) $2x+3=11 \Rightarrow 2x=8 \Rightarrow x=4$. (2 marks: equation 1, solve 1)
Answers: (a) 3 (b) 4 [3]

18. (a) $C(6)=3(6)+4=22$. (1 mark)
(b) $3n+4=25 \Rightarrow 3n=21 \Rightarrow n=7$. (2 marks)
Answers: (a) $22 (b) 7 [3]

19. (a) $y=-(-1)+4=1+4=5$. (1 mark)
(b) Gradient = $-1$ (coefficient of $x$); negative. (2 marks)
Answers: (a) 5 (b) -1, negative [3]

20. (a) Dots increase by 2 each stage: $D=2n+1$ (check: n=1→3). (2 marks)
(b) $D=2(10)+1=21$. (1 mark)
Answers: (a) $D=2n+1$ (b) 21 [3]

Common mistake note: In Q20(a), students may write $2n+3$; test with n=1 to verify.