Geometry Honors Summer Assignment
Geometry Honors Summer Assignment
During your time off this summer, take time to complete the attached assignment. Completing this assignment will help you practice and review skills you will need during the course. All skills are those you have learned in previous math classes.
You must show all work to receive full credit for the assignment. Work must also be legible. Circle your final answer for each problem unless there is a blank provided. This assignment will be graded on accuracy and will count as your first test grade. You may use past notes, the internet or any resources you find helpful (except a friend’s work). Some websites you may find helpful: o mathisfun.com o khanacademy.com o purplemath.com o sosmath.com This assignment is due on the first day of class of the 2017-2018 school year.
I hope you have a great summer and look forward to seeing you next school year.
Shannon Degruise [email protected]
Part I.
Part II. Solve each equation. 16. 2𝑝 + 5 = 13
17. 12 + 2𝑏 = 2 + 5𝑏
18. 4𝑥 + 5 + 5𝑥 + 40 = 180
19. 2(4𝑥 + 4) = 𝑥 + 1
20. 2(𝑥 + 5) = 3(𝑥 − 2)
21. 180 − 𝑥 = 3(90 − 𝑥)
22. 6𝑥 − 3(6 − 5𝑥) + 3𝑥 = 10 − 4(2 − 𝑥)
23.
1 2
1
1
(6 + 4𝑥) − (8𝑥 − 12) = (2𝑥 − 4) 4 2
Part III. Simplify each fraction. 24.
18 36𝑎
25.
−18𝑟 3 𝑡 12𝑟𝑡
26.
7 9
−
1 3
27.
1 3 3 4
Part IV. For each problem, find the slope of the line containing the two points. 28. (5,8) and (-2, 1)
29. (-3, 0) and (-3, 8)
30. (4,-3) and (-2, -8)
Part V. Writing linear equations. 31. Write the linear equation for the line with a slope of 3 and passing through the point (2,5).
32. Write the linear equation for the line with a slope of ½ and passing through the point (6, 3).
33. Write the linear equation for the line with a slope of -2 and passing through the point (1, -1)
Part V. Simplify each using perfect squares or factor trees. (Leave in radical form). 34. √36
35. √400
36. √24
37. √52
Part VI. Find each product. 38. (3𝑥 − 4)(2𝑥 + 5)
39. 2𝑥(𝑥 + 4)
40. (𝑥 − 5)(2𝑥 − 3)
Part VII. Solve each proportion. 41.
44.
7
=
21
𝑝−2
=
3
3
42.
𝑥
7 2
45.
25 10
=
𝑥−5 𝑥
15
43.
3𝑥
=
3
46.
6
10 6𝑥+7
𝑘−5 5𝑘+8
=
=
6 2𝑥+9
5 8
Part VII. Graph each line. You may want to change the equation to slope-intercept form before graphing. 1
2
47. 𝑦 = 2 𝑥 + 5
48. 𝑦 = 3 𝑥 − 1
49. 2𝑥 + 3𝑦 = 6
50. 6𝑥 − 3𝑦 = 12
During your time off this summer, take time to complete the attached assignment. Completing this assignment will help you practice and review skills you will need during the course. All skills are those you have learned in previous math classes.
You must show all work to receive full credit for the assignment. Work must also be legible. Circle your final answer for each problem unless there is a blank provided. This assignment will be graded on accuracy and will count as your first test grade. You may use past notes, the internet or any resources you find helpful (except a friend’s work). Some websites you may find helpful: o mathisfun.com o khanacademy.com o purplemath.com o sosmath.com This assignment is due on the first day of class of the 2017-2018 school year.
I hope you have a great summer and look forward to seeing you next school year.
Shannon Degruise [email protected]
Part I.
Part II. Solve each equation. 16. 2𝑝 + 5 = 13
17. 12 + 2𝑏 = 2 + 5𝑏
18. 4𝑥 + 5 + 5𝑥 + 40 = 180
19. 2(4𝑥 + 4) = 𝑥 + 1
20. 2(𝑥 + 5) = 3(𝑥 − 2)
21. 180 − 𝑥 = 3(90 − 𝑥)
22. 6𝑥 − 3(6 − 5𝑥) + 3𝑥 = 10 − 4(2 − 𝑥)
23.
1 2
1
1
(6 + 4𝑥) − (8𝑥 − 12) = (2𝑥 − 4) 4 2
Part III. Simplify each fraction. 24.
18 36𝑎
25.
−18𝑟 3 𝑡 12𝑟𝑡
26.
7 9
−
1 3
27.
1 3 3 4
Part IV. For each problem, find the slope of the line containing the two points. 28. (5,8) and (-2, 1)
29. (-3, 0) and (-3, 8)
30. (4,-3) and (-2, -8)
Part V. Writing linear equations. 31. Write the linear equation for the line with a slope of 3 and passing through the point (2,5).
32. Write the linear equation for the line with a slope of ½ and passing through the point (6, 3).
33. Write the linear equation for the line with a slope of -2 and passing through the point (1, -1)
Part V. Simplify each using perfect squares or factor trees. (Leave in radical form). 34. √36
35. √400
36. √24
37. √52
Part VI. Find each product. 38. (3𝑥 − 4)(2𝑥 + 5)
39. 2𝑥(𝑥 + 4)
40. (𝑥 − 5)(2𝑥 − 3)
Part VII. Solve each proportion. 41.
44.
7
=
21
𝑝−2
=
3
3
42.
𝑥
7 2
45.
25 10
=
𝑥−5 𝑥
15
43.
3𝑥
=
3
46.
6
10 6𝑥+7
𝑘−5 5𝑘+8
=
=
6 2𝑥+9
5 8
Part VII. Graph each line. You may want to change the equation to slope-intercept form before graphing. 1
2
47. 𝑦 = 2 𝑥 + 5
48. 𝑦 = 3 𝑥 − 1
49. 2𝑥 + 3𝑦 = 6
50. 6𝑥 − 3𝑦 = 12
