College Algebra Practice Test 3

• This review should prepare you for the third test in College Algebra. Read the question, work out the answer, then check yourself by clicking the mouse to see if you’re right.

1. Give the domain and tell if the set is a function: {(-1,4), (2,7), (3,7)}

• -1, 2, 3 ; yes it’s a function

2. Give 3 ordered pairs that fit y = x + 100

• Answers may vary: (0, 100) , (1, 101), (2, 102), (-1, 99) , etc.

3. What is the slope of 3x + 4y = 7

• -3/4

4. What is the y intercept ofx + 3y = 2 ?

• 2/3

5. What is the x-intercept of-3x + 5y = 9?

• -3

6. What is the distance between the two points: (1,4) and (3,8)?

• 2√5 OR ≈4.47

7. Determine whether the three points are collinear, the vertices of a right triangle, or neither. (-4,3) (2,5) (-1,-6)

• Vertices of a right triangle

8. What are the coordinates of the midpoint of the segment joining the two points: (1,4) and (3,8)?

• (2,6)

9. Find the center and radius of the circle, then graph. A. (x+2)² + y² = 25B. x² + y² + 8x – 6y + 16 = 0

• A. Center (-2,0) and radius=5• B. Center(-4,3) and radius=3

10. What is the slope of the line containing (1,4) and (3,8)

• 2

11. What is the equation that passes through (-1,-2) and has a slope of 3?

• y = 3x + 1

12. What is the equation of the line that passes through (1,4) and is perpendicular to y = 2/3 x + 5?

• y = -3/2 x + 11/2

13. What is the equation of the vertical line passing through (1,2)?

• x = 1

14. Write the equation of the line that passes through (-2,1) and (-6, -4).

• y = 5/4 x + 7/2

15. Sketch the graph of 3x + 2y = 3

16. Graph y > 3x - 1

17. What type of equation is y = 5x + 4?

• Linear

18. Graph y = |x+2| - 3 and give the domain and range.

• Domain = (-,) Range = [-3,)

19.Graph y = (x - 2)2 - 1

20. Graph the piecewise function:y= -2x if x≤ -1

= x+3 if x> -1

21. What type of equation is

y = x2 - 5?• quadratic

22. What is the vertex and axis of symmetry for y=1/2(x-3)²-1. Then graph.

• Vertex = (3,-1)• Axis x=3

23.Find the vertex: y = x2 - 8x + 16, and which way would it open?

• (4,0) , opens up

24. What are the x-intercepts, y-intercept,vertex and axis of symmetry for y = x2 - 6x + 5?

• x-intercepts are 1 and 5• y-intercept is 5• Vertex = (3,-4)• Axis of symmetry is x=3

25. What are the zero’s of y = x2 + 1 ?

• No solution, it does not cross the x axis

26. What does it mean about the graph if there are imaginary solutions?

• The graph doesn’t cross the x axis

27.By using parent graph rules, graph y = -x2 - 5

28. What is the domain and range for y=-√(2x-6)+2. Then graph.

• Domain (3,)• Range (-,2]

29. Divide using synthetic division: (2x4 - 3x3 - 6x2 - 8x - 3) / (x - 3)

• 2x3 + 3x2 + 3x + 1

30. Divide by synthetic division: (x2 - 25) / (x + 5)

• (x - 5)

31. Is -2 a root of y = 2x4+ 6x3 + 5x - 6? Check using synthetic division.

• no

32. List the possible rational zeros, then find the zeros, and write the factors for y=x³-2x²-13x-10

• ±1,2,5,10• -1,-2,5• (x+1)(x+2)(x-5)

33. Describe the end behavior of the graph and the possible number of

turns: y = x3-x2 - x + 1

• Low to High and 2 possible turns

34. Describe the end behavior and number of turns of y = -5x5 +2x2 -1

• High to Low and have 4 possible turns

35. 2 is a zero for the following:y=15x³-34x²+5x+6. Find the other

zeros. • 3/5 and -1/3

36. If g(x) = x2 -6x+3 , find g(-2).

• 19

37. Find f(-3) : f(x) = x4 - x3+ 4x2 - 8x + 1

• 169

38. Find g(f(x)) if f(x) = x2 - 1 and g(x) = x + 3• Y = x2 + 2

39.Find f(g(2)) if f(x) = x2 - 2x and g(x) = 4x

• 48

40. f(x)=x²-5x and g(x)=x+2Find (f+g)(x) and (f•g)(x).

• (f+g)(x) = x²-4x+2• (f•g)(x) = x³-3x²-10x

THE END!!