Review for District Assessment

1st 9 weeks

Matrices

In the 2X2 matrix below,  and  are the costs of shoes and jeans, respectively, at Andrew's Apparel.   and   are the costs of pairs of shoes and jeans, respectively, at Harrison's Hanger.  In the following matrix product, what does m represent?

                        

F. The total cost of 3 pair of shoes at Andrew's Apparel and 3 pair of shoes at Harrison's Hanger

G. The total cost of 3 pair of shoes and 2 pair of jeans at Andrew's Apparel

H. The total cost of 3 pair of jeans at Andrew's Apparel and 2 pair of jeans at Harrison's Hanger

J. The total cost of 3 pair of shoes and 2 pair of jeans at Harrison's Hanger

Given: Are P and Q inverses of each other?  Justify your answer. 

A. Yes, because 

B. Yes, because 

C. No, because 

D. No, because

Given:    Find X.

F. -10

G. -1

H. 0

J. 1

Find the following matrix product:  

A. 

B. 

C. 

D.

Absolute Value/Scatter Plots

10. If  which of the following is the solution set for y when x = -3? 

F.

G.

H.

J.

Which of the following is not a solution of ? 

F. -1

G. 2

H. 3

J. 4

4. The installation instructions require the cable used with the pulley to have a thickness that is within  inch of   inches.  Which if the following is a safe thickness of cable for the pulley?                   I.  1 inch                 II.   inch                 III.   inch 

F. I only

G. I and II only

H. II and III only

J. I, II and III

The table below lists the number of mature fir trees at the Holly Ridge Christmas Tree Farm over a period of years.  Which of the following is an appropriate quadratic function to model this data? 

F.

G.

H.

J.

The chart below represents the total graduate enrollment in the education program at Liberty University since the first year the program was offered.  Using the median-fit method which of the following is closest to the predicted enrollment in the education graduate program in the 8th year? 

F. 411

G. 423

H. 430

J. 458

Southern Polymers is producing plastic sheets to be shipped to a kitchenware manufacturing plant.  The table shows the day, x, and the number of sheets in stock, f(x), at the beginning of the day. 

 Use the median-fit method with a linear equation to find an equation that models the data in the table.  (Round to two decimal places.) 

F.

G. y  737.33x +  98.86

H. y 96.25x + 746.46

J. y 56.47x + 673.55

As part of her science project, Shalisa lit a candle and recorded its height in centimeters every minute.  The table shows the time in minutes, x, and the height in centimeters, y.  Using the median-fit method, which of the following equations most closely models the data in the table. 

 

A.

B.

C.

D.

How many integers are solutions of the inequality ? 

A. Infinitely many

B. -5

C. 5

D. 6

Given the data in the table, calculate the line of best fit.

If   and x < 0, what is one possible value of x? 

F. -5

G. -1

H. 0

J. 3

Radicals

The engineer needed to solve the following equation for x:  She used the following steps to solve for x:  Step 1:     Step 2:     Step 3:      Step 4:       Step 5:        2x   =   18Step 6:          x   =   9 

F.Step 2

G.Step 3

H.Step 4

J.There is no mistake.

Simplify:   

A.

B.

C.

D.

7. Simplify:   

A.

B.

C.

D.

If  , then what is the value of x? 

F. 0

G.

H.

J. No Solution

Georgette used the following steps to solve the equation for x:  

 Step 1:  Step 2:  Step 3:  Step 4:   

In which step does Georgette's mistake first appear? 

F. Step 1

G. Step 2

H. Step 3

J. There is no mistake.

What is the solution set of   ? 

A.{1}

B.{9}

C.{31.8)

D.{73}

9. Simplify:  

A.

B.

C.

D.

23. Solve for x: 

 

A.x = -2

B.x = 1

C.

D.No solution

24. If    is true, then n = ?

 

F. 1

G.

H. 5

J. 35

What is the solution set of ?

A. {1}

B.

C. {3}

D. {5}

8. Georgette used the following steps to solve the equation for x:    Step 1:  Step 2:  Step 3:  Step 4:   In which step does Georgette's mistake first appear? 

F. Step 1

G. Step 2

H. Step 3

J. There is no mistake.

8. Georgette used the following steps to solve the equation for x:    Step 1:  Step 2:  Step 3:  Step 4:   In which step does Georgette's mistake first appear? 

F. Step 1

G. Step 2

H. Step 3

J. There is no mistake.

Complex Numbers

15.

Express in simplest form:  

A.

B.

C.

D.

Compute and express your answer in simplest form:                

A.

B.

C.

D.

Simplify: 

A.

B.

C.

D.

1.Given the Complex Number System Diagram above, the "?" represents a missing piece of the diagram.  Which of the following should be written in place of "?" to make the Complex Number System diagram complete and correct? 

A. Natural

B. Whole

C. Real

D. Integer

22. Simplify:

 

F.

G.

H.

J.

Given the Complex Number System Diagram above, the "?" represents a missing piece of the diagram.  Which of the following should be written in place of "?" to make the Complex Number System diagram complete and correct?

 

A. Natural

B. Whole

C. Real

D. Integer

4. Compute and express your answer in simplest form:                

F.

G.

H.

J.

Which point shows the location of  on the plane?  

F. Point A

G. Point B

H. Point C

J. Point D

27. If  , which point shows the location of   on the plane? 

A. Point A

B. Point B

C. Point C

D. Point D

Evaluate:  

A. -1

B. 1

C.

D.

Quadratics

2. Find the fifth term of: 

F.

G.

H.

J.

A feather is dropped from a height 35 feet above the ground.  The height after x seconds is represented by the function .  When the object is dropped from 20 feet above the ground, the function becomes .  Describe the transformation that changes the graph of the first function to the second. 

A. A vertical shift of 15 units down transforms the first graph to the second.

B. A horizontal shift of 16 units to the right transforms the first graph to the second.

C. A horizontal shift of 16 units to the left transforms the first graph to the second.

D. A vertical shift of 15 units up transforms the first graph to the second.

Below are the steps a student used to find a quadratic function whose roots are   and . Sep 1:  Step 2:  Step 3:  Step 4:  Step 5:   In which step does the student's mistake first appear?

F.Step 1

G.Step 3

H.Step 4

J. There is no mistake.

Which of the following is a factor of ?

A.

B.

C.

D. None of these are factors

A landscaper has 50 feet of landscaping timbers with which to make a rectangular flower bed.  He wants a flower bed that has an area of 150 square feet.  The equation L(L - 5) = 150 gives the length of the flower bed that meets these requirements. Use the discriminant to determine if these requirements for the flower bed can be met.  Justify your answer. 

F. Since the discriminant is zero there are no real solutions.  Therefore, there is no length that can be used with only 50 feet of landscaping timber.

G. Since the discriminant is positive, there are 2 real solutions and the positive solution is the length that can be used with only 50 feet of landscaping timbers.

H. Since the discriminant is negative the equation has no real solutions.  Therefore, there is no length that can be used with only 50 feet of landscaping timbers.

J. Since the discriminant is negative the equation has one real solution with a multiplicity of 2.  This solution is the length that can be used with 50 feet of landscaping timbers.

Which equation has imaginary roots?

A.

B.

C.

D.

The temperature of the chemical solution, in degrees, over a period of minutes can be modeled by the function . Does the graph have a maximum or a minimum?  What is the value?  What does it represent? 

F. Minimum - The minimum is 5 degrees.  This represents the minimum temperature during the time period.  This minimum occurs at 37 minutes.

G. Minimum - The minimum is -37 degrees. This represents the minimum temperature during the time period.  This minimum occurs at 128 minutes.

H. Maximum - The maximum is 5 degrees.  This represents the maximum temperature during the time period.  This maximum occurs at 128 minutes.

J. Maximum - The maximum is 128 degrees.  This represents the maximum temperature during the time period.  This maximum occurs at 5 minutes.

Which of the following is a factor of ?

A. (x - 2)

B. (x - 1)

C. (x + 4)

D. ( x + 5)

There is a quadratic equation that can be used by industrial engineers to describe a company's profit over a period of time.  The solutions to this quadratic equation are   and 2.  Which of the following equations have  and 2 as their solution?

F.

G.

H.

J.

Given the function .    What are the zeros of the function?  What do the zeros represent? 

A. The zeros are  and 2.  The zeros describe the points where the function cross the y-axis.

B. The zeros are  and 2.  The zeros describe the x-intercepts of the function.

C. The zeros are  and 4.  The zeros describe the points where the function crosses the x-axis.

D. The zeros are  and 4.  The zeros describe the y-intercepts of the function.