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Secondary 1 Mathematics Algebra Functions Quiz

Free Sec 1 Maths Algebra Functions quiz, HY3 AI version, with questions, answers, and syllabus-aligned practice for Singapore students.

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Secondary 1 Mathematics AI Generated Generated by Tencent HY3 Free Updated 2026-08-17

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Questions

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.

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: ________

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: ________

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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Answers

Secondary 1 Mathematics Quiz - Algebra Functions (Answer Key)

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

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]

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]

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.