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# Geometry Basics for Precalculus: Homework Help Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. What is the area of the annulus/doughnut shown below?

#### Question 2 2. What is the area of the diamond/kite shown below?

#### Question 3 3. What is x?

#### Question 4 4. What is the area of the right triangle shown below?

#### Question 5 5. Find the midpoint of the line segment with endpoints (6,-2) and (6,4).

### Page 2

#### Question 6 6. What information do we need to graph a circle?

#### Question 7 7. Which step below shows an error in solving for the distance between the two points (3,4) and (-3,2)?

#### Question 8 8. Complete the square for the equation 3x^2 + 9x - 3 = 0

#### Question 9 9. What is x?

#### Question 10 10. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

### Page 3

#### Question 11 11. Find the distance between the points (-3, 4) and (2, 5).

#### Question 12 12. Choose the equation for the following circle:

#### Question 13 13. Estimate the coordinates of the midpoint of the line segment below:

#### Question 14 14. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

#### Question 15 15. Complete the square for the equation x^2 + 8x + 1 = 0.

### Page 4

#### Question 16 16. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

#### Question 17 17. What is z in terms of x and y?

#### Question 18 18. Find the midpoint of the line segment with endpoints (-3,-1) and (1,6).

#### Question 19 19. Find the center and radius of the following equation:

#### Question 20 20. Which of the following graphs shows a line segment?

### Page 5

#### Question 21 21. Find the center and radius of the following equation:

#### Question 22 22. What is the volume of a cube with an edge length of 6 cm?

#### Question 23 23. Which of the following is true?

#### Question 24 24. What is the volume of a hemisphere with a radius of 3cm?

####
Question 25
25.
What is the next step in completing the square for this equation?

3x^2 + 9x = 12

### Page 6

#### Question 26 26. The points on either end of a line segment are called _____.

#### Question 27 27. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

#### Question 28 28. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?

#### Question 29 29. Find the distance between the two points (-4, -2) and (-4, 3).

#### Question 30 30. William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?

#### Geometry Basics for Precalculus: Homework Help Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!