How to Solve the Precalculus Droodle Review Sheet
The Precalculus Droodle Review Sheet is a fun and challenging way to test your knowledge of precalculus concepts and skills. It consists of 20 problems that require you to solve equations, graph functions, find slopes, convert angles, and more. Each problem has a corresponding letter that you need to write in the blank beside it. Then, you need to fill in the corresponding letter for each blank in the title of the droodle, which is a humorous drawing that has a hidden meaning.
To help you solve the Precalculus Droodle Review Sheet, we have provided the answer key below. You can also check your answers by downloading the PDF file from this link[^1^]. However, we encourage you to try to solve the problems on your own first before looking at the solutions. Here are some tips and hints for solving the problems:
- For problem 1, you need to use the quadratic formula to find the x-intercepts of the function y = 4x - 4x - 5.
- For problem 2, you need to use the definition of absolute value inequality to rewrite it as a compound inequality and then solve for x.
- For problem 3, you need to use the distance formula to find the length of the line segment AB.
- For problem 4, you need to graph the absolute value function y = x and then shade the region where y > 1.
- For problem 5, you need to use the property of absolute value inequality that x - a < b means -b < x - a < b and then solve for x.
- For problem 6, you need to recognize that the line through (2, 1) and (2, -5) is vertical and has an undefined slope. Therefore, its equation is x = 2.
- For problem 7, you need to use the point-slope form of a line equation and plug in the given point (1, 4) and slope tan(45Â) = 1.
- For problem 8, you need to use the definition of average rate of change as Îy/Îx and plug in the given values of y and x.
- For problem 9, you need to use the composition of functions rule that f(g(x)) means f(x) with g(x) substituted for x.
- For problem 10, you need to use absolute value symbols to describe the interval -3 < x < 7 as x - 2 < 5.
- For problem 11, you need to use the conversion factor that Ï radians = 180 degrees and multiply by 4Ï/3.
- For problem 12, you need to graph the absolute value function y = x and then shade the region where y â 1.
- For problem 13, you need to use the conversion factor that Ï radians = 180 degrees and divide by 3.
- For problem 14, you need to use the composition of functions rule that g(f(x)) means g(x) with f(x) substituted for x.
- For problem 15, you need to find the point that is symmetric to (-9, 1) with respect to the x-axis by changing only the sign of y-coordinate.
- For problem 16, you need to use the relationship between slope and angle of inclination that m = tan(Î) and plug in Î = 135Â.
- For problem 17, you need to use the definition of greatest integer function [x] as the largest integer less than or equal to x and plug in x = .5.
- For problem 18, you need to find the x-intercept of a line by setting y = 0 and solving for x.
- For problem 19, you need to graph the domain of y on a number line by marking all possible values of x that make y defined.
- For problem 20, you need to use the power rule of differentiation to find dy/dx 35727fac0c