Question # 1

The Knights Banquet Hall uses the equation

25n – C + 1250 = 0 to determine the cost for a hall rental.

a) Express the equation in y = mx + b form.

b) Identify the fixed and variable costs for the banquet hall.

c) What is the cost for 45 people?

Question # 2

Find the equation of a line perpendicular to

2x + 5y – 20 = 0and has the same x-intercept as

y = 4x - 3

Question # 3

A baseball diamond is a square with sides that measure about 27 m. How far does the second-base player have to throw a ball to get a runner out at home plate?Round your answer to the nearest metre.

Question # 4

Write an equation to model the following table:

Time (h) Distance (m)

3 70

4 90

6 130

8 170

Question # 5

Find the area of the following shape. Round to one decimal place.

5 cm

8 cm

Find the perimeter of the shape.

Question # 6

Simplify the following expression:

4(3x – 4) – 4(2x – 4)

Question # 7

A cone just fits inside a cylinder. The volume of the cylinder is 9425 cm3. What is the surface area of this cone, to the nearest square centimetre?

20 cm

Question # 8

Sally is buying a pair of jeans. The original price is $59.99. They are on sale for 25% off. Calculate the final price including GST(5%) and PST (8%).

Question # 9

The diameter of Mars is 6800 km. Calculate its surface area. Give your answer in Scientific Notation.

Question # 10

Find the equation of the line that passes through the points:

A(4, 8) and B(7, 2)

Question # 11A weather balloon recorded the air temperature at various altitudes.

Describe the relation and state, if any, they type of correlation.

Altitude (m) 500 800 1000 1500 1700 2100

Temperature (°C) 16.2 14.5 13.1 11.2 9.8 8.1

Question # 12

Calculate:

43

54

107

Question # 13

Simplify. Give your answers as a positive exponent.

)(

)(23

32323

yx

yxyx

Question # 14

Simplify the following expression:

4x(4x – 2) – 3x( -3 – 7x)

Question # 15

Solve for x.

)1(41

)1(21

xx

Question # 16

Which of the following is linear?A B

Time Distance

-4 112 138 1514 17

TimeDistance-3 -2-7 1

-11 4-14 7

Question # 17

Solve for y.

4

2

3

7

yy

Question # 18

Determine the dimensions of a cylinder that would have a maximum volume for a surface area of 3942.39 cm2.

Question # 19

Find the measure of angles x, y and z.

80°

40°

x

y z

Question # 20

Find the size of each unknown angle.

3x + 20 10x - 13

30°

?

Question # 21

Find the x and y intercepts of the following equation:

5x – 3y – 15 = 0