# Precalculus Test on ALEKS, 15-20 Questions need help with.

It will be betweeen 15 to 20 questions picked from those 60 topics:

1 | Finding slope given two points on the line |

2 | Writing the equation of a line given the slope and a point on the line |

3 | Writing the equation of the line through two given points |

4 | Writing equations of lines parallel and perpendicular to a given line through a point |

5 | Finding inputs and outputs of a function from its graph |

6 | Finding where a function is increasing, decreasing, or constant given the graph: Interval notation |

7 | Finding local maxima and minima of a function given the graph |

8 | Domain and range from the graph of a continuous function |

9 | Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients |

10 | Graphing a piecewise-defined function |

11 | Determining the end behavior of the graph of a polynomial function |

12 | Inferring properties of a polynomial function from its graph |

13 | Composition of two functions: Advanced |

14 | Determining whether two functions are inverses of each other |

15 | Inverse functions: Problem type 1 |

16 | Inverse functions: Problem type 2 |

17 | Domain of a rational function |

18 | Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators |

19 | Sketching the graph of a rational function: Linear over linear |

20 | Domain of a square root function: Advanced |

21 | Rationalizing the denominator of a radical expression using conjugates |

22 | Solving a radical equation that simplifies to a linear equation: One radical, basic |

23 | Solving a radical equation that simplifies to a linear equation: Two radicals |

24 | Converting between logarithmic and exponential equations |

25 | Expanding a logarithmic expression: Problem type 1 |

26 | Writing an expression as a single logarithm |

27 | Solving a multi-step equation involving a single logarithm |

28 | Solving an equation involving logarithms on both sides: Problem type 2 |

29 | Solving an exponential equation by using logarithms: Exact answers in logarithmic form |

30 | Solving exponential equations by using logarithms and natural logarithms: Decimal answers |

31 | Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c |

32 | The graph, domain, and range of a logarithmic function |

33 | Graphing a logarithmic function: Advanced |

34 | Translating the graph of a logarithmic or exponential function |

35 | Distance between two points in the plane |

36 | Writing an equation of a circle given its center and a point on the circle |

37 | Writing an equation of a circle given the endpoints of a diameter |

38 | Distance between two points in the plane |

39 | Writing an equation of a circle given its center and a point on the circle |

40 | Arc length and central angle measure |

41 | Area of a sector of a circle |

42 | Using trigonometry to find distances |

43 | Using a trigonometric ratio to find an angle measure in a right triangle |

44 | Using trigonometry to find angles of elevation or depression |

45 | Solving a right triangle |

46 | Solving a triangle with the law of sines: Problem type 1 |

47 | Solving a triangle with the law of cosines |

48 | Amplitude, period, and phase shift of sine and cosine functions |

49 | Sketching the graph of a sine or cosine function: Problem type 1 |

50 | Sketching the graph of a sine or cosine function: Problem type 2 |

51 | Composition of a trigonometric function and an inverse trigonometric function: Problem type 1 |

52 | Composition of a trigonometric function and an inverse trigonometric function: Problem type 2 |

53 | Composition of a trigonometric function and an inverse trigonometric function: Problem type 3 |

54 | Simplifying trigonometric expressions |

55 | Sum and difference identities: Problem type 2 |

56 | Double-angle identities: Problem type 2 |

57 | Finding solutions in an interval for a basic equation involving sine or cosine |

58 | Solving a basic trigonometric equation involving sine or cosine |

59 | Plotting a point in polar coordinates |

60 | Converting an equation written in rectangular coordinates to one written in polar form |