**Q9: **

The sum, , of the first consecutive integers can be found using Starting from 1, how many consecutive integers are required to make a sum of 21?

**Q10: **

The height of a ball seconds after it was kicked from the ground is modeled by the function , where .

For how long does the ball remain in the air?

For how long does the ball remain above a height of 10 m?

**Q11: **

Which of the following exceeds its multiplicative inverse by ?

- A or 5
- B or
- C 6 or
- D or

**Q12: **

A study was carried out to determine how many people in a small town were infected with the hepatitis C virus. An approximation for the number of infected people, , can be found using , where is the number of years after 2006. In which year do we expect there to be no infected people?

**Q13: **

The length of a rectangle is 26 cm
more than its width. Given that its area is 120 cm^{2},
determine its perimeter.

**Q14: **

The length of a rectangle is 15 cm
more than its width. Given that its area is 54 cm^{2},
determine its perimeter.

**Q15: **

The length of a rectangle is 10 cm
more than its width. Given that its area is 24 cm^{2},
determine its perimeter.

**Q16: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q17: **

Given that nine times the square of is 25, what are the possible values of ?

- A
- B or
- C5 or
- D or

**Q18: **

Determine the positive number whose square exceeds twice its value by 15.

**Q19: **

Find the positive number whose square is equal to two times the number.

**Q20: **

The difference between the square of Danielβs age now and 5 times his age 2 years ago is 160. How old is Daniel now?

**Q21: **

At which values of does the graph of cross the -axis?

- A0 and 2
- B0 and
- C0 and
- D0 and
- E0 and

**Q22: **

When twice the square of a number is added to 1, the result is 99. What is the number?

- A98
- B10 or
- C10
- D7 or

**Q23: **

Find two numbers with a sum of 10 and a product of 9.

- A8, 2
- B5, 5
- C3, 7
- D1, 9
- E6, 5

**Q24: **

A study was carried out to investigate the number of people in a town infected by norovirus. The number of people infected, , occurring years after the start of the study, can be found using the equation What was the value of when there were 347 people infected?

**Q25: **

The length of a rectangle is 3 cm more than double the width.
The area of the rectangle is 27 cm^{2}.
Write an equation that can be used to find , the width of the rectangle, in centimeters.

- A
- B
- C
- D
- E