IM 2 per 5 Semester 1 Final (12/14/2023) - James Parson | Library

This is the Semester 1 Final for IM 2.

You may use your notes, homework, and study guides. Remember to show your work on all problems that require it.

And double remember to answer every  question. You will receive credit for any work you do.

Good Luck!

Required

10

Find the Product of these polynomials.

Required

10

Simplify this expression that contains radicals.

Required

10

Simplify. Your answer should not have negative exponents.

Required

10

Simplify this expression. Your answer should not have negative exponents.

Required

18

Use interval notation to describe the domain and range of this function.

Domain:_______ 
Range:_______ 


For what interval of x is the function f(x):

Increasing?
_______ 
 Decreasing?
_______ 

Negative?
_______ 
Positive?
_______ 

Required

10

Find the Product of this binomial * trinomial using the box method.

Required

40

Write an expression in simplest form to represent the perimeter of the larger rectangle.
_______ 

Write an expression in simplest form to represent the area of the larger rectangle.
_______

What is the area of the shaded region?
_______ 

If x = 3 feet, how much longer is the perimeter of the larger rectangle?
_______ 

Required

8

Match the inequality and interval with the correct graph.

Required

20

Solve this absolute Value equation:


+ Case
_______ 
- Case
_______ 

Required

4

Identify and classify the parts of this polynomial:

Degree (first, second, third, etc.)_______ 

# of Terms (1, 2, 3, etc.):_______ 

Required

20

Solve and graph this absolute value inequality:

Required

20

A) What are the critical values of this absolute value function:


Opens (upward or downward)
_______ 
Axis of Symmetry
_______ 
Vertex
_______ 
Slope
_______ 

B) Use the critical values of this equation to graph it.

Required

20

Describe the transformation of:


Stretch or Compression?(If a=1 or a=-1, then write none)_______ 
Opens upward or downward?_______ 
Horizontal shift? (If there is no shift write none)_______ 
Vertical shift? (If there is no shift write none)_______ 
Axis of Symmetry? (x=h)_______ 
Vertex (h,k)_______ 

Graph the parabola.

Required

20

What is the graph of the function?

A.CED.2

F.IF.4

Required

10

Solve the following Quadratic function:
(3x - 27)(4x + 16) = 0

x=_______ 

x=_______ 

Required

20

Solve the following Quadratic function:

x=_______ 
x=_______

Required

40

A diver jumps from a dividing board 32 feet above the water with an initial velocity of 12 feet per second. The height h, in feet, of a the diver t seconds after she jumped can modeled by the function h(t) = -16t² + 12t + 32. 

For all your answers round to two decimal places. 

Find the height of the diver 1 second after he jumped off the board.
_______ 


How long did it take for the diver to reach a maximum height above the water?
_______ 

What is the diver's maximum height?
_______ 

After how many seconds did the diver enter the water?
_______ 