summer assignment for honors geometry at enochs high school geometry... · 2020-05-28 · summer...

- 0 -

Summer Assignment for Honors Geometry

at Enochs High School The following assignments will help prepare you for the study of Geometry and Advanced Algebra and with help you review for the California High School Exit Exam. All work will be due the first day of school and there will be a test on this material during the first week of school.

Please show all work neatly on binder paper (use a separate piece of paper for each page in the packet). Please circle, box, or highlight your answers.

You may use Khan Academy online for reference.

Complete only the following problems

Page 1: all Page 10: odds

Page 2: all Page 11: multiples of 3 & #1-2 at bottom

Page 3: all Page 12: odds & both rectangle problems

Page 4: all Page 13: all

Page 5: all Page 14: evens

Page 6: odds Page 15: all

Page 7: evens

Page 8: multiples of 3 (i.e. 3, 6, 9, etc)

Page 9: evens

- 1 -

Convert the measuring units as indicated.

1a. 4 pt = _____ C

1b. 15840 ft = _____ mi

2a. 144 oz = _____ lb

2b. 5 gal = _____ qt

3a. 10 ft = ______ in

3b. 640 oz = ____ gal

4a. 6 lb = _____ oz

4b. 1 gal = _____ qt

5a. 6 yd = ______ ft

5b. 3 ft = ______ in

6a. 1 mi = ______ ft

6b. 1 T = ______ lb

7a. 4 ft = ______ in

7b. 4 T = ______ lb

8a. 2 qt = ______ oz

8b. 14 C = _____ pt

9a. 9 yd = ______ ft

9b. 64 oz = _____ lb

10a. 3 pt = _____ C

10b. 2 lb = _____ oz

- 2 -

Measuring Worksheet 3 Convert the measuring units as indicated.

1a. 70 mm = _____ cm

1b. 10 m = ______ cm

2a. 10 L = ______ ml

2b. 2 L = ______ ml

3a. 10 mm = _____ cm

3b. 2 km = ______ m

4a. 200 cm = _____ m

4b. 90 mm = _____ cm

5a. 5 L = ______ ml

5b. 900 cm = _____ m

6a. 1 kg = ______ g

6b. 7000 m = _____ km

7a. 1000 m = _____ km

7b. 7 m = ______ cm

8a. 6000 g = _____ kg

8b. 4 m = ______ cm

9. To convert from liters to kiloliters, ___________________________. 10. Divide when you are converting from meters to ________________________. 11. You pour 6 cans of juice containing 200 mL each & 3 cans of juice containing 750 mL each into a punchbowl. How many liters of juice are in the bowl?

- 3 -

5 cm

5 6

7 8

Perimeter & Circumference Find the perimeter of each polygon. If only one side length is given, assume that the polygon is regular. 1. 2. 3. 4. Find the circumference of each circle. Use 3.14 for π. Round answers to the nearest hundredth. 9. You are making a frame for an 8 in by 10 in photo. You have a yard of wood. Is that enough to make the frame? Explain.

- 4 -

Area of Parallelograms, Triangles, and Trapezoids Find the area of each polygon. 5. 6. 7. 8. 9. The height of a rectangular wall is 8 m less than its base. The base is 17 m. What is the height of the wall? What is its area? 10. Of all rectangles with perimeter 36 cm, the one with the greatest area is a square. Find its dimensions and its area.

- 5 -

Properties of Exponents Simplify the expression. Use only positive exponents.

1. 2. 3.

6.

27

24

21

18

15

9.

12

5. 4.

8. 7.

11

10

14

13

17 16

20 19

23

22

26

25

- 6 -

Linear Equations and Inequalities

- 7 -

Graphs of Linear Equations and Inequalities Decide which of the given points is a solution of the equation or inequality. 1. 3 5 6;(0,1) (3,7)?y x or− = 2. 5;( 3,2) (0,8)?y x or≤ + − 3. 4 3;(0,0) (2,2)?y x or> − 4. 2 12;(6,3) (3,6)?x y or+ = Name 3 ordered pairs that are solutions of the equation or inequality. 5. 3y x> + 6. 5 2 9x y+ = 7. 4 7 8y x− = − Write the inequality whose graph is shown. (Think: is it an open or closed half-plane?) 8. 9. Find the x and y intercepts of the graph of the equation. 10. 5y x= − 11. 3 2 9x y+ = 12. 5 4 20y x− = Graph the equation or inequality. 13. 4y = 14. 6y x= − 15. 3x = − 16. 3 2y x≤ − 17. 6 12 12y x+ = 18. 2 1y x< − +

- 8 -

Slope & Equations of Lines

- 9 -

Systems of Equations & Inequalities

- 10 -

Operations with Polynomials

- 11 -

Factoring Polynomials

Find the quotient (use factoring to help) 1. Divide 4 2(12 30 42 ) 6w w w by w− + 2. 2Divide (2 7 49) by (2 7)t t t− − +

- 12 -

Rational Expressions

Use the rectangle to answer questions 22 & 23. 22. Find an expression for the area of the rectangle.

43x

23. What is the area of the rectangle when x = 2? 5

3x

- 13 -

Simplifying Radicals 1. 4196x 2. 3288x 3. 572x 4. 35 144x 5. 7 24x− 6. 4200x− 7. 2 5 5+ + 8. 3 6 6+ + 9. 2 5 7 5+ + 10. 2 54 2 45 3 54− + 11. 3 12 3 27 3 20− − 12. 18 2 18 6− + − 13. ( )( )6 4 12 14. ( )( )4 8 4 2− − 15. ( )( )4 5 3 15− 16. ( )6 6 2− − 17. ( )15 6 4+ 18. ( )15 5 6+

19. 250

20. 253 4

21. 448

- 14 -

Solving Quadratic Equations

Remember: 2 0ax bx c+ + = and 2 4

2b b acx

a− ± −

=

- 15 -

Pythagorean Theorem Find the missing side lengths. Leave answers in simplest radical form.