SCD MathQuest

Sam's age is twice that of John. Ten years ago, Sam's age was three times John's age. Determine their current ages.

• John=20

  Sam = 40

• John=40

  Sam = 20

• John=10

  Sam = 30

• John=30

  Sam = 10

Anna is four years younger than Ben. Three years ago, Anna was half the age of Ben. Determine their current ages.

• Ben=22

  Anna=18

• Ben=30

  Anna=26

• Ben=16

  Anna=12

• Ben=24

  Anna=20

Emma got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Emma’s monthly income must be at least three times as much as the rent. What is the highest rent Emma will qualify for?

• rent<=1755

• rent>=1755

• rent>=1200

• rent <=1200

Tom's salary is $4,500 per month. To afford a new car, his monthly expenses must not exceed 60% of his salary. What is the maximum amount Tom can spend on monthly expenses?

• expenses <=3000

• expenses>=3000

• expenses>=2700

• expenses<=2700

A farmer wants to fence off a triangular piece of land. The lengths of two sides of the fence are 72 metres and 55 metres,and the angle between them is 83∘.Find the perimeter of the fence giving your answer to the nearest meter

• perimeter=220

• perimeter=212

• perimeter=85

• perimeter=100

What is the simplified form? 
3x - 1 + 2x - 3

• -x
• 5x - 4
• 2x - 1
• 9

Which inequality is represented by the graph?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

To qualify for an award, a student volunteers no less than 25 hours each month at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• 30w < 25
• 7w > 25
• 4w ≥ 25
• 4w ≤ 25

Factorize x²−10x+25

• 
  (x−5)(x−5)

• 
  (x+5)(x−5)

• 
  (x+5)(x+5)

• None

Factorize 5z³−10z²

• 5z²,(z−2)
  

• 5z,(z−2)

• 5z,(z²−2)

• 5z³,(z−5)