IM3 Review 1

IM3 Review 1

Information covered weeks 1 - 12

Graphing

1) Use Desmos Graphing Calculator

2) Use table calculator

3) Solution for one equation where it touches

the x-axis (x-intercepts, zeros, roots)

4) Solution for more than one equation is the intersection

Multiple Choice

​

A system of equations is shown.

f(x)=−x² +6x − 4

g(x)=|x−3|−1

What is the greatest value of x for which f(x) = g(x) ?

• x = 1

• x = 3

• x = 5

• x = 10

Multiple Select

​

For the pair of polynomials given, select all the points of intersection of their graphs.

g(x)= (x+5)(x−3)

h(x)= x−3

• (3, 0)

• (-4, 3)

• (-4, 0)

• (-4, -7)

Multiple Choice

The graph shows the exponential growth of the number of organisms in a Petri dish over a 12-hour period. To the nearest whole organism, how many organisms are expected to be in the Petri dish at 15 hours?

• 190.2

• 219.7

• 300

• 350

Circles

Equation of a circle    $\left(x-h\right)^2+\left(y-k\right)^2\ =\ r^2$  

Area of a Sector    $\frac{angle\ measure}{360\ or\ 2\pi}\pi r^2$  


Chords cross not at center    $\frac{arc\ 1\ +\ arc\ 2}{2}$  

Multiple Choice

Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above the ground. Which design would give Shanika what she wants?

• a circular piece of cloth with a radius of 90 cm

• a circular piece of cloth with a radius of 100 cm

• a circular piece of cloth with a radius of 110 cm

• a circular piece of cloth with a radius of 130 cm

Multiple Choice

What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane?

• $(x+2)^2+(y-5)^2=36$
  

• $(x-2)^2+(y-5)^2=36$

• $(x+2)^2+(y-5)^2=9$

• $(x-2)^2+(y+5)^2=9$

Multiple Choice

​The two chords shown in the circle intercept the given arcs. What is the measure of ∠ MPN ?​

• 60

• 70

• 75

• 150

Multiple Choice

​The windshield wiper of a car rotates through an angle of measure  $\frac{5\pi}{6}$    radians, as shown.  The shaded section of the diagram represents the area cleared by the 10-inch blade of the windshield wiper as it moves from one side to the other.  Approximately what is the area cleared by the blade of the windshield wiper?​

• 367 

• 125

• 790

• 130.9