Enter Title

Number

100

Find the GCF and LCM of 96 and 108.

GCF is 12, LCM is 864

200

Write 3∛4 as an entire radical.

∛108

300

Evaluate 64^(-4/3) without a calculator

1/256

400

Shrek has travelled 180miles in 2.5 hours. Find his average speed in meters per second. (Round to 3dp)

32.187m/s

500

Evaluate without a Calculator

27^(-2/3) x √64

_____________________

∜16 x 3^(-4)

36

Polynomials

100

Expand and simplify (x-2)(x+3)²

x³+4x²-3x-18

200

Factor 121x²+110x+25

(11x+5)²

300

Factor 96x²+324x-42

6(8x-1)(2x+7)

400

Fully Factor 16x⁴-81y⁴

(2x-3y)(2x+3y)(4x²+9y²)

500

What factor do these polynomials have a common:

2m²-15m-8 and 8m³-2m

2m+1

Functions and Relations

100

f(x)=3x²-√x+7, find f(4) and f(9)

f(4)=53; f(9)=247

200

g(x)=9x²-4. Find all values for a that satisfy g(a)=77

a=3, -3

300

What is the equation of the line that passes through (2, -7) and (-4,-10). State your answer in the form of Ax+By+C=0

x-2y-16=0

400

A line passes through D(-5,3) and N(12,-4). Which of the following are the coordinates of two points on a line parallel to DN:

a) (-10,24) and (6,-8);

b) (-10,6) and (24,-8);

c) (6,-10) and (24, -8);

d) (-10, 6) and (-8,24).

B

500

Line AB passes through the points A(1,-2.2) and B(-0.4,2). Find the equation of the perpendicular bisector in the form of Ax+By+C=0

5x-15y-3=0

Shapes

100

What is the formula for the surface area of a tin can with a missing top and bottom?

πdh or 2πrh

200

Which trig ratio would you use if you knew the two shorter sides of a right angle triangle and you were solving for an angle (other than the right angle)?

Tangent

300

a triangular prism has a base triangle with an area of 34cm². The length is 15cm. Find the volume of the prism in cubic inches. (Round to 3dp)

31.122 inches³

400

From a hot air balloon that is 1660ft high, the angle of depression of a car is 62°. How far is the hot air balloon from the car, to the nearest foot?

1880ft

500

Two trees (A and B) are 55yd apart. From a point halfway between the trees, the angles of elevation to the tops of tree A and B are 34° and 29° respectively. What is the height of each tree to the nearest yard?

Tree A is 19yds, Tree B is 15yds.

Equations

100

Solve

4x-3y=10

2x+5y=18

x=4; y=2

200

Solve the System of Equations

x+6y=-29

x+¹/₄y=-6

x=-5, y=-4

300

During lunch, the cafeteria sold a total of 220 pizza buns and trays of French Fries. The price of each pizza bun is $2.00. Each tray of French Fries is $3.50. The cafeteria collected $560.00.

Write the two linear equations to determine the number of pizza buns and trays of French fries sold.

Solve the system of equations

f+p=220

2p+3.5f=560

f=80; p=140

400

Kory drives from Edmonton to Lloydminster and back. Going to Lloydminster, he drives with an average speed of 96 km/h. For the return trip, he averages a speed of 100 km/h. The total time driving is 5.1 hours.

Using this information, calculate the distance from Edmonton to Lloydminster. Round to the nearest km.

250km.

500

Ryan and Greg split the driving on a 1335km trip from Calgary to Winnipeg. Ryan drove to Regina with an average speed of 90km/h. Greg drove the rest of the way to Winnipeg with an average speed of 100km/h. The total trip took 14.2 hours.

What is the distance between Calgary and Regina? Regina and Winnipeg?

Calgary to Regina is 765km, and Regina to Winnipeg is 570km.