Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
State the side length of a square with an area of 1573 cm2 in
simplified radical form.
|
|
|
2.
|
Express  in simplified form.
|
|
|
3.
|
Simplify  .
|
|
|
4.
|
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 64 cm and a volume of 576 p cm 3.
Express your answer in simplest form.
|
|
|
5.
|
Express  in simplest form.
|
|
|
6.
|
A radical expression is being simplified. In which step of the process was an
error made?  A | Step A | C | Step C | B | Step D | D | Step B |
|
|
|
7.
|
Determine the range of the function  . A | {y Î R} | C | {x Î R} | B | {y Î
R, y ³ 0} | D | {x Î
R, x ³ –2} |
|
|
|
8.
|
Determine the value of the function  when  .
|
|
|
9.
|
Solve  .
|
|
|
10.
|
Solve  .
|
Short Answer
|
|
|
1.
|
Identify each number as a mixed radical or an entire radical, and then change it
to its other form.
|
|
|
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.
|
Is the equation  true for negative values of a and b? Explain
your reasoning.
|