Needing help with Pre-Calculus. I’m needing example of each problem broken down completely please!

Spring, 2019

1. Solve a linear equation. (1 problem)

2. Solve a formula equation for an indicated variable. (1 problem)

3. Add, subtract, multiply, and divide complex numbers and write the answer in standard form.

(3 problems)

*4. Write and use a linear equation to solve a word problem. (1 problem)

5. Simplify a power of i problem. (1 problem)

6. Solve a quadratic equation over the set of real numbers. (1 problem)

7. Solve a quadratic equation over the set of complex numbers. (1 problem)

8. Solve a linear inequality and give the answer in interval notation. (1 problem)

9. Solve a linear inequality and graph the solution on the real number line. (1 problem)

10. Find the midpoint of a line segment given the coordinates of two points. (1 problem)

11. Find the distance between two points given the coordinates of the two points. (1 problem)

12. Decide whether a relation defines a function given the graph of the relation by using the

Vertical Line Test. (1 problem)

13. Evaluate a function given the function and a value. (1 problem).

14. Find the domain and range of a relation given the graph of the relation. (1 problem)

15. Find the domain of a rational function given the equation that represents the rational

function. (1 problem)

16. Use a graph to find the value of a function for a given value. (1 problem)

17. Write an equation for a line with given characteristics in standard form and slepe-intercept

form. (4 problems)

18. Find the center and radius of a circle given the equation of the circle. (1 problem)

19. Find the slope and the y-intercept of a line given the equation of the line. (1 problem)

20. Find a requested value for a piecewise-defined function given the equations for the

piecewise-defined function. (1 problem)

21. Add, subtract, multiply, and divide functions. (1 problem)

22. Find the composition of two functions. (1 problem)

23. Find the x-intercepts, if any, of the graph of a function given the equation of the function.

(1 problem)

*24. Find the equation of the axis of symmetry of a parabola (square function). (1 problem)

25. Find the vertex of a parabola (square function). (1 problem)

26. Find the coordinates of a point symmetric to a given point with respect to the x-axis, y-axis,

and origin. (1 problem)

27. Find the equation of a graph of a function given the graph. (1 problem)

28. Graph a parent function. (1 problem)

29. Find the vertical asymptotes of a rational function given the equation of the function.

(1 problem)

30. Use synthetic division to find the quotient and the remainder of a polynomial function.

(1 problem)

31. Use the factor theorem to decide whether or not a second polynomial is a factor of the first

polynomial. (1 problem)

32. Find the correct end behavior diagram for a given polynomial function. (1 problem)

33. List all possible rational zeros for a given polynomial. (1 problem)

34. Find two (2) factors of a polynomial function given a value for k as a zero of the polynomial

function. (1 problem)

35. Graph a polynomial function. (1 problem)

36. Determine whether or not a function is one-to-one given the graph of the function by using

the Horizontal Line Test. (1 problem)

37. Decide whether or not two functions are inverses of each other. (1 problem)

38. Write an exponential equation in logarithmic form. (1 problem)

39. Solve an exponential equation. (3 problems)

40. Solve a logarithmic equation. (1 problem)

41. Solve an exponential equation by giving the answer in exact form using the natural

logarithm and simplifying the answer. (1 problem)

42. Write a logarithmic expression as a sum, difference, or product of logarithms and assume

that all variables represent positive real numbers. (1 problem)

43. Solve a logarithmic equation using the properties of logarithms and express the solution in

exact form. (1 problem)

-44. Solve a system of equations. (1 problem)

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45. Find all rational zeros of a polynomial functions. (1 problem)