Student: Ermelinda DeLaVina Assignment: Sample …cms.dt.uh.edu/faculty/DelavinaE/spr07/Math1301/Review...Book: Rockswold: College Algebra with Modeling and Visualization, 3e ENHANCED

Student: _____________________

Date: _______________________

Time: _______________________

Instructor: Ermelinda DeLaVina

Course: Math 1301 1pm

Book: Rockswold: College Algebrawith Modeling and Visualization, 3eENHANCED

Assignment: Sample Test3

1. Solve the following equation symbolically and graphically.

x x 0

x { }

(Use a comma to separate answers.)

2. Solve the equation symbolically and graphically.

x { }

(Use a comma to separate answers as needed.)

3. Use the square root property to solve theequation.

(x )

The solution is .

(Simplify your answers. Type an integeror a fraction. Use commas to separateanswers.)

4. Solve for x using the quadratic formula.

x x 0

The solution set is { }. (Simplify your answers. Type exact answers, using radicals as

needed. Use commas to separate your answers.)

5. Use the graph to solve the equation.

0

The solutions are .

(Use a comma to separate answers.)

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6. For the following equation, state the value of the discriminant and then describe thenature of the solutions.

0

What is the value of the discriminant?

Which one of the statements below is correct?

7. Use the quadratic formula to solve eachequation.

x

Choose the solutions of the equation

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8. Given the graph of f(x), solve a)

and b) .

Choose the correct solution for .

Choose the correct solution for .

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9. Use the graph of to solve each

equation or inequality.

a) 0 b) > 0 c) < 0

Choose the solutions to 0.

Which interval represents the solutions to > 0?

Which interval represents the solutions to < 0?

10. Solve the inequality. Write the solution set in interval notation.

Choose the correct solution below.

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11.The table contains test values for a given quadratic function . Use the

table to determine the solution set to the inequality f(x) 0.

x 0

f(x) 0 0

Choose the solution to the inequality f(x) 0.

12.Solve .

Choose the correct solution set below.

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13. Solve the inequality.

x x < 0

Choose the correct solution set.

14. Identify the degree and the leading coefficient of the polynomial.

11 x

What is the degree of the polynomial?

What is the leading coefficient?

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15.

Use the graph of f to determineintervals where f is decreasing andwhere f is increasing.

On which intervals is the function ?

On which interval is the function ?

16. Give the interval where f is decreasingand the interval where f is increasing forthe given function f(x).

f(x)

The function is decreasing over the

interval .

(Type your answer in interval notation.)

The function is increasing over the

interval .


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17. Use the graph of f to estimate localextrema.

Where do the extrema occur?

(Type an ordered pair. Use a comma toseparate answers as needed. Round to thenearest integer.)

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18. Identify local extrema and intervals onwhich the function is decreasing andincreasing.

[ 10, 10] by [ 50, 50]

Choose the best description for the point .



On which intervals is the function ?


On which interval is the function ?


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19. Determine graphically any local and absolute extrema.

The absolute minimum is .

(Type an ordered pair. Type integers or decimals. Type N if there is no absoluteminimum.)

The absolute maximum is .

(Type an ordered pair. Type integers or decimals. Type N if there is no absolutemaximum.)

20. Discuss the symmetry of the graph of thefunction, and determine whether thefunction is even, odd, or neither.

f(x)

This graph is

This function is

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21. Use the graph of the polynomial functionf to complete the following.

The x-intercepts are x .


Determine whether the leading coefficient is positive or negative. Choose the correctanswer below.

The minimum degree of f is .

22. Identify the graph of f(x).

Choose the graph of y f(x).

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23. Identify the graph of f(x).

Choose the graph of y f(x) below.

24. State the degree and leading coefficient of P(x), and choose the end behavior diagramthat best describes the function.

The degree of P(x) is .

The leading coefficient of P(x) is .

Choose the graph that best models the end behavior of the polynomial.

25. Identify the degree and the leading coefficient of the polynomial.

11 x

What is the degree of the polynomial?

What is the leading coefficient?

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26. The data table has been generated by a linear, quadratic, or cubic function. All zeros of fare real numbers located in the interval [ 3,3]. Make a graph of the data, then

conjecture the degree of f.

The degree of f is probably .

(Type 1, 2, or 3.)

27. Sketch a graph of a polynomial that satisfies the conditions.

Degree , with real zero(s), and leading coefficient.

Which of the graphs satisfies the conditions?

28. Express in terms of i.

(Simplify your answer. Type your answer in the form a b .)

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29. Add or subtract and simplify.

( i) ( i)

( i) ( i)

(Simplify your answer. Type your answer in the form a bi.)

30. Subtract and simplify.

( i) ( i)

( i) ( i)


31. Multiply.

( i)

( i)

(Simplify your answer. Type your answer in the form a + b .)

32. Multiply.

( i)( i)

( i)( i)


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33. Divide.

(Simplify your answer. Type an integer or a fraction. Type your answer in the forma bi.)

34. Divide.

(Simplify your answer. Type an integer or a fraction. Type your answer in the forma + b .)

35. Solve the following equation by using the quadratic formula. Find all solutions, both realand imaginary.

x x

The solutions are x .


36. Solve the following equation by using the quadratic formula. Find all solutions, both realand imaginary.

x x

The solutions are x .


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37. The graph and equation of a quadraticpolynomial are given.

a) Use the graph to predict the numberof real and imaginary zeros of .

b) Find the zeros of using the

quadratic formula.

[ 20,20,2] by [ 50,50,5]

The predicted number of real zeros is .

The predicted number of imaginary zeros is .

The zeros are .

(Simplify your answers. Type exact answers, using radicals as needed. Use a comma toseparate answers as needed.)

38. The graph and equation of a quadraticpolynomial are given.

a) Use the graph to predict the numberof real and imaginary zeros of .

b) Find the zeros of using the

quadratic formula.

[ 20,20,2] by [ 50,50,5]

The predicted number of real zeros is .

The predicted number of imaginary zeros is .

The zeros are .

(Simplify your answers. Type your answers in the form . Use a comma to separate

answers as needed.)

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39.Evaluate the expression.

Which term represents the simplified form of ?

40. Simplify.

Which term represents the simplified form of ?

41. Simplify the expression. The answer is .

(Type your answer as an integer.)

42. Simplify. =

(Simplify your answer. Type a fraction ormixed number.)

43. Rewrite with rational exponents. Assumethat the radicand of an even root is apositive quantity. (Simplify your answer.)

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44. Graph the following function.

y

Choose the best graph.

45. Solve.

The solution is x .

(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers.Type N if the solution is not a real number.)

46. Solve.

0

The solution is x = .

(Type a fraction. Use a comma to separate answers. Type N if there is no solution.)

47. Solve.

The solution is x = .

(Use a comma to separate answers. Type N if there is no solution.)

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48. Solve the equation.

x

The solution(s) are x .

(Use a comma to separate answers. Type N if there is no solution.)

49. Solve.

The solution is x .

(Simplify your answer. Type an integer or a fraction. Use a comma to separate answersas needed. Type N if the solution is not a real number.)

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Documents

Student: Ermelinda DeLaVina Assignment: Sample …cms.dt.uh.edu/faculty/DelavinaE/spr07/Math1301/Review...Book: Rockswold: College Algebra with Modeling and Visualization, 3e ENHANCED