Math 9 · Unit 10: Graphs · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. A fitness club costs a $20 joining fee plus $15 per week. What is the total cost for 4 weeks?

   • $35
   • $80
   • $60
   • $140
   Check

2. 2. A fitness club costs a $20 joining fee plus $15 per week. What is the total cost for 10 weeks?

   • $350
   • $200
   • $170
   • $150
   Check

3. 3. The fitness club costs $20 to join plus $15 per week. The total for w weeks is y dollars. Which function is correct?

   • y = 20w + 15
   • y = 15w + 20
   • y = 15 + 20
   • y = 35w
   Check

4. 4. Arun lifts four 2 kg weights and three 4 kg weights. What is the total mass?

   • 18 kg
   • 13 kg
   • 20 kg
   • 24 kg
   Check

5. 5. Arun lifts x 2 kg weights and y 4 kg weights. The total mass is 22 kg. Which function shows this?

   • x + y = 22
   • 6xy = 22
   • 4x + 2y = 22
   • 2x + 4y = 22
   Check

6. 6. Alicia is a years old and Barak is b years old. The total of their ages is 36 years. Write a function to show this.

   • a + b = 36
   • ab = 36
   • a − b = 36
   • 36a = b
   Check

7. 7. Alicia is a years old and Barak is b years old. Their ages total 36. Alicia is 13. How old is Barak?

   • 49
   • 26
   • 13
   • 23
   Check

8. 8. Barak is 3 times Alicia's age. Which function shows this?

   • a = 3b
   • b = 3a
   • b = a + 3
   • 3b = a
   Check

9. 9. A small taxi takes 4 passengers and a large taxi takes 6. How many can 3 small and 2 large taxis take?

   • 24
   • 10
   • 20
   • 30
   Check

10. 10. s small taxis (4 seats) and l large taxis (6 seats) take 40 passengers. There are 7 small taxis. How many large taxis are there?

    • 3
    • 5
    • 12
    • 2
    Check

11. 11. Tanya's time is 20 minutes less than twice Gareth's time. Gareth takes 52 minutes. What is Tanya's time?

    • 72 minutes
    • 84 minutes
    • 32 minutes
    • 124 minutes
    Check

12. 12. Tanya's time t is 20 minutes less than twice Gareth's time g. Which function is correct?

    • t = 2g − 20
    • g = 2t − 20
    • t = 2(g − 20)
    • t = 20 − 2g
    Check

13. 13. Using t = 2g − 20, Tanya's time is 52 minutes. What is Gareth's time?

    • 16 minutes
    • 36 minutes
    • 84 minutes
    • 26 minutes
    Check

14. 14. How many vertices are there on 5 pentagons and 10 hexagons?

    • 15
    • 85
    • 80
    • 110
    Check

15. 15. p pentagons and h hexagons have 100 vertices in total. Which function shows this?

    • 6p + 5h = 100
    • 5p + 6h = 100
    • p + h = 100
    • 11ph = 100
    Check

16. 16. p pentagons and h hexagons have 100 vertices in total. What is the largest possible number of hexagons?

    • 10
    • 16
    • 20
    • 15
    Check

17. 17. Here is a function: y = 20x + 10. Describe a situation this function could represent. Write what x and y represent.

    • A plumber charges a $10 call-out fee plus $20 per hour: x is the total cost in dollars, y the hours worked
    • A plumber charges a $10 call-out fee plus $20 per hour: x is the hours worked, y the total cost in dollars
    • A plumber charges $20 per hour and takes $10 off the total: x is the hours worked, y the total cost in dollars
    • A plumber charges a $20 call-out fee plus $10 per hour: x is the hours worked, y the total cost in dollars
    Check

18. 18. Here is a function: 10c + 20d = 200. Describe a situation this function could represent. Write what c and d represent.

    • A school sells $10 tickets and $20 tickets and raises $200: c is the number of $20 tickets, d the number of $10 tickets
    • A school sells $10 tickets and raises $200: c is the price of a ticket, d the number sold
    • A school sells $10 tickets and $20 tickets and sells 200 tickets in total: c is the number of $10 tickets, d the number of $20 tickets
    • A school sells $10 tickets and $20 tickets and raises $200: c is the number of $10 tickets, d the number of $20 tickets
    Check

19. 19. Here are five functions. Which function is the odd one out?

    • 2x + 2y = 20
    • x = 10 − y
    • y = 10 + x
    • x + y = 10
    Check

20. 20. Marcus has r red counters and b blue counters, 18 counters in total. Which function shows this?

    • rb = 18
    • 4r + b = 18
    • r + 4b = 18
    • r + b = 18
    Check