Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
What does the expression  simplify to?
|
|
|
2.
|
Express  in simplified form.
|
|
|
3.
|
Determine the value of the expression  when  and  .
|
|
|
4.
|
Simplify  .
|
|
|
5.
|
The volume, V, in cubic units, of a cylinder is given by  , where
r is the radius and h is the height, both in the same units. Find the exact radius of a
cylinder with a height of 4 cm and a volume of 400 p cm 3.
Express your answer in simplest form.
|
|
|
6.
|
Express  in simplest form.
|
|
|
7.
|
A |  | C | 12 | B | 138 | D |  |
|
|
|
8.
|
Determine the range of the function  . A | {y Î R, y ³ 0} | C | {x Î R, x
³ 2} | B | {x Î
R} | D | {y Î R} |
|
|
|
9.
|
Solve  . A | x = 8 | C | x = 32 | B | x = –8 | D | x = 16 |
|
|
|
10.
|
Solve  .
|
Short Answer
|
|
|
1.
|
Simplify each expression.
|
|
|
2.
|
Simplify each expression.
|
|
|
3.
|
Solve  .
|
Problem
|
|
|
1.
|
A ball that is hit or thrown horizontally with a velocity of v metres per
second will travel a distance d metres before hitting the ground, where  and h
is the height, in metres, from which the ball is hit or thrown. a) Use the properties of radicals to rewrite the formula with a
rational denominator.
b) How far will a ball that is hit with a velocity of 45 m/s at
a height of 0.8 m above the ground travel before hitting the ground, to the nearest tenth of a
metre?
|
|
|
2.
|
Police can estimate the speed a car had been travelling by the length of the
skid marks. One formula used for this purpose is  , where v is the speed, in
kilometres per hour, and d is the length of the skid marks, in metres. a) Solve the
formula for d. b) How long would the skid marks of a car braking from 90 km/h be, to
the nearest metre? c) What was the speed of the car, to the nearest kilometre per hour, if
the length of its skid marks is 150 m?
|