Fall Semester Final 2009

8/14/2019 Fall Semester Final 2009

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Name: _______________________________________________ Date: __________

1. Find f2

3. (x) = 18x

2 12x 3

____ 2. What is the domain of the function in the graph?

A. 0 e 12B. e = 70C. d= 70D. 0 d 12

Unsaved Test, Version: 1 1


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3. What is the range of the function in the graph?

4. What is the domain of the function in the graph?



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Graph:

____ 5. 4x 3y = 12A.

B.

C.

D.



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Choose the equation of the line that is perpendicular to the given line and passes through the given point.

____ 6.=

2

3x +

4

5; 0,

9

2A.

=2

3x

32

3B.

=

3

2x

9

2C.

= 3

2x +

9

2D.

=2

3x +

32

3

____ 7. For the data given, find the equation of the line of best fit.

A. = 0.630x + 2.246B. = 0.609x + 1.348

C. = 0.630x + 1.348D. = 0.609x + 2.246

____ 8. Which equation represents the scatter plot?

A. = 1 2xB. = 2 2xC. = 2x + 1D. = 2x 1



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____ 9. A music store is holding a clearance sale. Their advertisement states that "all CD's are at least25% off the regular price." Write and graph an inequality that relates the sale price of a CD tothe regular price.A.

0.75xB.

0.25x + 18C.

0.25x 18



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D.

18



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____ 10. Sally wants to buy her boyfriend a bouquet for his birthday. She wants it to contain both carnationsand roses. She has $25.50 to spend. Carnations cost $1.46 each and roses cost $2.39 each.Which graph below represents the possible combinations of numbers of carnations and roses Sallycan afford to buy?A.

B.

C.

D.



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____ 11. Solve the system by graphing: x + y = 3= 3x + 5

A.

( 2, 1)

B.

5

4 ,5

4C.

(4, 7)



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D.

3

4,

9

4

12. A rental car agency charges $13 per day plus 15 cents per mile to rent a certain car. Another agencycharges $15 per day plus 10 cents per mile to rent the same car. How many miles per day will have to bedriven for the cost of a car from the first agency to equal the cost of a car from the second agency?

13. The drama club sold 1500 tickets for the end-of-year performance. Admission prices were $12 for adultsand $6 for students. The total amount collected at the box office was $16,200. How many studentsattended the play?



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____ 14. Graph the system of linear inequalities:x 2y 3A.

B.

C.

D.



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____ 15. Determine the solution to the system of inequalities: x 8

3x + y 8A.

B.

C.



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D.

Solve the system:

____ 16. 2x 4y + 2z= 4

5x 3y + 5z= 4

4x 5y + 2z= 8A. the value ofy is 1B. the value ofx is 1C. none of theseD. the value ofz is 0

____ 17. Solve the system of equations:x + y + z= 6

2x y + z= 8x 2y z= 12

A. (2, 2, 6)B. (6, 2, 2)C. ( 2, 2, 6)D. ( 6, 2, 2)

____ 18. Mildred sold magazine subscriptions with three prices: $14, $18, and $19. She sold 3 fewer of the

$14 subscriptions than of the $18 subscriptions and sold a total of 35 subscriptions. If her total salesamounted to $608, how many $19 subscriptions did Mildred sell?A. 14B. 9C. 15D. 12



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____ 19.

Find the inverse of the matrix

1 0 1

1 1 2

0 1 2

.

A. 0 1 1

2 2 3

1 1 1

B. 0 1 1

2 2 1

1 1 1

C. 0 1 1

2 2 1

1 1 1

D. 0 1 1

2 2 2

1 1 1

____ 20. Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 45 cents each, oatmeal muffinsat 50 cents each, and cranberry muffins at 55 cents each. Charles buys some of each kind andchooses twice as many cranberry muffins as chocolate chip muffins. If he spends $6.10 on 12muffins, how many cranberry muffins did he buy?A. 8B. 4C. 2D. 6

____ 21. Find the range of the relation {(4, 2), ( 2, 3), (1, 3)} .A. {2, 3, 3}B. { 4, 2, 1}C. { 2, 3, 3}D. {4, 2, 1}

22. Is the relation {( 5, 6), ( 5, 3), ( 3, 2)} a function?



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____ 23.Graph =

1

4x

2.

A.

B.

C.



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D.

____ 24. How would you translate the graph of = x2 to produce the graph of = x

2 6?

A. translate the graph ofy = x2

right 6 unitsB. translate the graph ofy = x

2up 6 units

C. translate the graph ofy = x2 left 6 units

D. translate the graph ofy = x2 down 6 units

25. Does the parabola open upor down? = 4 + 6x 2x2

____ 26. What is the effect on the graph of the equation = x2

+ 1

when it is changed to = x2

2?A. The graph changes from opening upwards to opening downwards.

B. The graph translates up.C. The graph translates down.D. The graph narrows.



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____ 27. = (x 3)2

1A.

B.

C.



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D.



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Write in standard form and graph:

____ 28. = (x 3)2

+ 1A. = x

2+ 6x + 10

B. = x2

+ 6x 8

C. = x2

6x + 10



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D. = x2

6x 8



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____ 29. Graph the function. Label the vertex, axis of symmetry, and x-intercepts.= 2(x 2)(x 2)

A.

vertex: (2, 0)axis of symm:x = 2The only x-intercept is at the vertex.

B.


C.

vertex: (2, 0)axis of symm:x = 2There are no x-intercepts.



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D.

vertex: (2, 0)axis of symm:x = 2There are no x-intercepts.

Factor:

____ 30. x2 + 3x 10A. (x 5)(x + 2)B. (x 2)(x + 5)C. (x + 5)(x 2)D. (x + 2)(x 5)

____ 31. Write as the product of two factors: x2

+ 3x 40A. (x + 5)(x + 8)B. (x 5)(x + 8)C. (x 5)(x 8)D. (x + 5)(x 8)

Solve:

____ 32. 3x2 x 14 = 0A.

8

3, 1

B. 7

3, 2

C. 8

3, 1

D.

7

3, 2

Solve for x:

____ 33. 3x2 = 12

A. 9

B. 6C. 2D. 36



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Solve:

____ 34. 3(x + 7)2

17 = 25A. 7 14B. 42 14C.

7 13D. 42 13

Simplify the expression:

____ 35. 3 294 42A. 126 7B. 16 6C. 132 6D. 42 7



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Answer Key

1. 3

2. A.0 e 12

3. d= 70

4. 1 x 6

5. B.

6.B. =

3

2x

9

2

7. B. = 0.609x + 1.348

8. C. = 2x + 1

9. A.

0.75x



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10. C.

11. A.

( 2, 1)

12. 40 miles per day

13. 30014. C.



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15. A.

16. B.the value ofx is 1

17. C. ( 2, 2, 6)

18. A. 14

19.

A.

0 1 1

2 2 3

1 1 1

20. B. 4

21. C. { 2, 3, 3}

22. No

23. B.

24. D.translate the graph ofy = x2

down 6 units

25. Down

26. C. The graph translates down.



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27. A.

28. C. = x2

6x + 10

29. B.


30. B.(x 2)(x + 5)

31. B.(x 5)(x + 8)

32.B.7

3, 2



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33. C. 2

34. A. 7 14

35. A.126 7



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Standards Summary

TX TEKS 2A.6.A determine the reasonable domain and range values of quadraticfunctions, as well as interpret and determine the reasonableness ofsolutions to quadratic equations and inequalities;

TX TEKS 2A.1.A identify the mathematical domains and ranges of functions anddetermine reasonable domain and range values for continuous anddiscrete situations; and

NCTM 9-12.ALG.1.c analyze functions of one variable by investigating rates of change,intercepts, zeros, asymptotes, and local and global behavior;

NCTM 9-12.ALG.3.a identify essential quantitative relationships in a situation anddetermine the class or classes of functions that might model therelationships;

NCTM 9-12.DAP.2.b for bivariate measurement data, be able to display a scatterplot,describe its shape, and determine regression coefficients, regressionequations, and correlation coefficients using technological tools;

NCTM 9-12.DAP.2.e identify trends in bivariate data and find functions that model the dataor transform the data so that they can be modeled.

TX TEKS 2A.1.B collect and organize data, make and interpret scatterplots, fit thegraph of a function to the data, interpret the results, and proceed tomodel, predict, and make decisions and critical judgments.

NCTM 9-12.DAP.1.d understand histograms, parallel box plots, and scatterplots and usethem to display data;

TX TEKS 2A.3.B use algebraic methods, graphs, tables, or matrices, to solve systemsof equations or inequalities; and

NCTM 9-12.ALG.2.b write equivalent forms of equations, inequalities, and systems ofequations and solve them with fluency-mentally or with paper andpencil in simple cases and using technology in all cases;

TX TEKS 2A.3.A analyze situations and formulate systems of equations in two or moreunknowns or inequalities in two unknowns to solve problems;

NCTM 9-12.ALG.1.b understand relations and functions and select, convert flexiblyamong, and use various representations for them;

TX TEKS 2A.6.B relate representations of quadratic functions, such as algebraic,tabular, graphical, and verbal descriptions; and

TX TEKS 2A.8.C compare and translate between algebraic and graphical solutions ofquadratic equations; and

TX TEKS 2A.6.C determine a quadratic function from its roots or a graph.

NCTM 9-12.ALG.1.e understand and compare the properties of classes of functions,including exponential, polynomial, rational, logarithmic, and periodic

functions;TX TAKS 5 The student will demonstrate an understanding of quadratic and

other nonlinear functions.

TX TEKS A.9.C investigate, describe, and predict the effects of changes in c on thegraph of y = ax_ + c; and

TX TEKS 2A.5.C identify symmetries from graphs of conic sections;



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TX TEKS 2A.2.A use tools including factoring and properties of exponents to simplifyexpressions and to transform and solve equations; and

TX TEKS 2A.8.D solve quadratic equations and inequalities using graphs, tables, andalgebraic methods.

Documents

Fall Semester Final 2009