Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which graph represents the solution to the inequality  ?
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2.
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Which number line represents the solution set to the inequality  ?
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3.
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The solution set to the inequality  is
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4.
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A rectangle is x centimetres wide and 2x centimetres long. If the
area of the rectangle has to be between 30 cm2 and 92 cm2, what are the
possible values of x?
A |  £ x £ | C | 15 £
x £ 46 | B |  £ x
£  | D | 30 £ x £
92 |
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700 people will attend a concert if tickets cost $25 each. Attendance will
decrease by 5 people for each $1 increase in the price. The concert promoters need to make a minimum
of $14 000.
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5.
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What is the range of ticket prices the concert promoters can charge and still
make at least the minimum amount of money desired?
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6.
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Which graph represents the solution to the inequality  ?
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7.
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Which quadratic inequality is represented by the graph shown below? 
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8.
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Which point does not satisfy the inequality  ? 
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A rock is thrown upward with an initial velocity of 12 m/s. The motion of the
rock can be modelled by the equation  .
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9.
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To the nearest hundredth of a second, for what period of time is the
rock’s altitude greater than 5 m?
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10.
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For how long is the rock’s altitude greater than 6 m? Answer to the
nearest hundredth of a second.
A | 1.05 s | C | 2.45 s | B | 1.75 s | D | 0.70 s |
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Problem
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1.
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A baseball player hits a high pop-up with an initial upward velocity of 30 m/s,
1.4 m above the ground. The height, h, in metres, of the ball t seconds after being hit
is modelled by the function  . How long does a player on the opposing team have to get
under the ball if she catches it 1.4 m above the ground? Display your answer on a number line.
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2.
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Suppose the height, h, in feet, of a trampolinist above the ground during
one bounce is modelled by the quadratic function  . For what period of time is the
trampolinist at least 22 ft above the ground? Round your answers to the nearest hundredth.
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3.
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The girls’ softball team is sponsoring a fundraising trip to see a
professional baseball game. They charter a 60-passenger bus for $525. In order to make a profit, they
will charge $15 per person if all seats on the bus are sold, but for each empty seat, they will
increase the price by $1.50.
a) Write a quadratic function giving the softball team’s
profit, P(n), from this fundraiser as a function of the number of empty seats,
n.
b) What is the minimum number of passengers needed in order for the softball team
not to lose money?
c) What is the cost per passenger if the minimum number take the trip
and the team does not lose money?
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4.
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A square storage area measures 10 m on a side. By how much must each side be
shortened to decrease this area to less than half the original area?
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5.
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An insurance company reports that the equation  relates the age, x,
in years, of a driver to the driver’s accident rate y (number of accidents per 50
million kilometres driven) when  . According to this model, at what age do drivers have the
fewest accidents per 50 million kilometres driven? How many accidents do these drivers have?
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