Saturday School #2 - Word Problem Review

The first minute of a roller coaster ride

can be modeled by the piecewise

function given, where t is the

number of seconds since the ride

began. After how many seconds does the ride

first begin increasing in height?

• 3.1

• 16

• 20

• 32

A thermostat set at d degrees will

activate an air conditioner if the actual

temperature, a degrees, is within 0.5

degrees either more or less than d.

Which inequality gives the range of

possible actual temperatures that would

activate the air conditioning?

• |a − d| ≤ 0.5

• |a − d| ≤ −0.5

• |a − d| ≥ 0.5

• |a − d| ≥ −0.5

The polynomial function

p(m) = 0.006m³ − 0.03m² − 1.8m + 87.12

can be used to determine the price of

one share of a mutual fund over the

past 18 months, where m represents

the number of months ago. What does

the value of p(15) represent?

• the price of 15 shares of the mutual

  fund a year ago

• the price of 1 share of the mutual

  fund a 15 months ago

• the price of 15 shares of the mutual

  fund 15 months ago

• the price of 1 share of the mutual

  fund 15 months from now

A plug is removed from a trough to

drain the rainwater inside. The volume

of water in gallons in the trough after it

has been unplugged can be modeled by

the expression 4t

2 − 32t + 60, where t is

in minutes. Which part of the expression

will give the amount of rainwater that

was initially in the trough?

• 4t²

• -32t

• -32t+60

• 60

Which statement gives the number and

type of solutions for the equation

x² − 4x = −8?

• The equation has one real solution.

• The solutions can only be

  determined by graphing.

• The equation has two real solutions.

• The equation has two nonreal

  complex solutions.

Which geometric principle is used in the

construction shown?

• The intersection of the

  perpendicular bisectors of the sides

  of a triangle is the center of the

  inscribed circle.

• The intersection of the angle

  bisectors of a triangle is the center

  of the circumscribed circle.

• The intersection of the angle

  bisectors of a triangle is the center

  of the inscribed circle.

• The intersection of the

  perpendicular bisectors of the sides

  of a triangle is the center of the

  circumscribed circle.

A median of a triangle is 60 mm

long. What are the lengths of the two

sections of the median into which a

centroid of the triangle divides it?

• 48 mm and 12 mm

• 40 mm and 20 mm

• 45 mm and 15 mm

• 42 mm and 18 mm

A dog’s leash is briefly tied to a pole in

a yard. When the leash is fully extended,

the distance the dog can travel from the

pole is modeled by a circle with

equation (x+3)² + (y-5)² = 49.

What does 49 represent in this

equation?

• the maximum distance from the

  pole that the dog can travel

• the circumference of the

  circular part of the yard in which the

  dog can travel

• the square of the radius of the

  circular part of the yard in which the

  dog can travel

• the area of the circular part of the

  yard in which the dog can travel

A new street sweeping machine can sweep a town's streets in 20 fewer hours than it takes the old machine. Working together, the two machines can complete the job in 24 hours. Which equation could be used to solve for the time it takes the new machine to complete the job?

• 
• 
• 
• 

Michael and Marco deliver a regular order to a specialty foods store. Michael can unload the truck in 40 minutes if he works alone. Michael and Marco can unload the truck in 15 minutes if they work together. How many minutes does it take Marco to unload the truck if he works alone? Assume both men work at steady rates and their rates are not affected by either working alone or working together.

• 24

• 11

• 10

• 5