Algebra 2 – First Semester Final - Test 6



Algebra 2 – First Semester Final - Test 6.0

1. Which of the following should not be considered a possible factor of 3x2 – 2x – 8 ?

A. 3x + 1

B. x – 4

C. 4x + 2

D. 3x – 2

2. (x3 + 2x2 – 3x)(2x – 5) =

A. 2x4 + 9x3 – 16x2 + 15x

B. 2x4 – x3 – 16x2 + 15x

C. 2x4 + 9x3 + 16x2 + 15x

D. 2x4 – x3 – 16x2 – 15x

3. Solve for x: 3x2 – 6 = 21

A. [pic]

B. 3

C. [pic]

D. 9

4. Simplify: [pic]

A. 3/8

B. 1/24

C. -1/24

D. -1/6

5. Simplify with no negative exponents: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

6. Give the vertex of the parabola: y = x2 + 3

A. (0,0)

B. (3,0)

C. (0,3)

D. (1,3)

Algebra 2 Test 6.0 p. 2

7. What is the range of the function: [pic] ?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

8. What is the domain of the function: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

9. Find the point of intersection of the two lines: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

10. Which line is perpendicular to the line: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

11. Which statement is true about the two lines: [pic]

A. The two lines intersect in exactly one point.

B. The two lines are actually the same line.

C. The two lines are parallel.

D. The two lines are perpendicular.

Algebra 2 Test 6.0 p. 3

12. Simplify: [pic]

A. It’s already simplified.

B. [pic]

C. [pic]

D. [pic]

13. Solve the following inequality: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

14. Expand by multiplying: (x – 3y)2

A. [pic]

B. [pic]

C. [pic]

D. [pic]

15. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

16. Put in scientific notation: 0.0312

A. [pic]

B. [pic]

C. [pic]

D. [pic]

Algebra 2 Test 6.0 p. 4

17. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

18. Solve for x: [pic]

A. [pic]

B. 3

C. [pic]

D. 6

19. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

20. Solve for x: [pic]

A. 1

B. 2

C. 3

D. 4

Algebra 2 Test 6.0 p. 5

21. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. -1

22. Evaluate: [pic]

A. Not defined

B. [pic]

C. [pic]

D. [pic]

23. Solve for x: 2x2 – 8x = 0

A. [pic]

B. [pic]

C. [pic]

D. [pic]

24. Solve for x: x3 – 8x2 + 15x = 0

A. 0, 8, 15

B. 0, -8, 15

C. 0, -3, -5

D. 0, 3, 5

25. Solve for x: [pic]

A. 3

B. 1, 3

C. [pic]

D. [pic]

Algebra 2 Test 6.0 p. 6

26. Give the equation of the line which passes through (3,1) and (-2,4).

A. [pic]

B. [pic]

C. [pic]

D. [pic]

27. Which equation describes the line parallel to: y = 3x + 2 and containing the point (0,1)?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

28. The length of a rectangle is twice as long as the width. Find the length if the area of the rectangle is 32 square meters.

A. 4

B. 8

C. 16

D. 32

29. Add the two rational (fraction) expressions: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

Algebra 2 Test 6.0 p. 7

30. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. 4/5

31. Simplify: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

32. Factor: [pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

Algebra 2 Test 6.0 p. 8

|[pic] |[pic] |[pic] |

|33. [pic] |34. [pic] |35. [pic] |

|[pic] |[pic] |[pic] |

|36. [pic] |37. y = 3x2 |38. [pic] |

| | | |

|[pic] |[pic] |[pic] |

|39. [pic] |40. 2x + 3y > 6 |41. [pic] |

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