Warm-up for Honors Algebra II

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1 Summer Assignment Warm-up for Honors Algebra II Who should complete this packet? Students who will be taking Honors Algebra 2 in the fall of Due Date: The first day of school How many of the problems should I do? ALL OF THEM How should I organize my work? You should show all work in a separate sheets of looseleaf paper. If a problem requires a graph, then you should use graph paper. Keep your materials in a 3-prong folder. How will my teacher know that I ve done the work? Your teacher will collect your notebook on the first day of school. Your teacher may choose to QUIZ or TEST you on this material if he or she feels it is necessary BE PREPARED! How well should I know this material when I return? You should recognize that you ve seen this material before, and you should also be able to answer questions like the ones in this packet. If the material is revisited in your next class, it will only be for a brief amount of time your teacher will assume that all you need is a quick refresher. Note from your teachers: We feel that this summer work will truly help you succeed this year. We understand that summer is a time for relaxation and fun, but it is imperative that you spend some time before you return reviewing your materials. This packet is mandatory, and you must treat it as you would any other extremely important homework assignment. You will be held accountable for this material. We also highly suggest that you do a bit of it at a time in the weeks leading up to school don t leave it for the last day!!!

2 Warm-up for Honors Algebra II Instructions: Complete the problems on loose-leaf paper in pencil. At the top of each page of your work, write your name and the page number. Complete all the problems carefully. Show enough work to indicate your method of solution. Make sure your work justifies your answer. If a problem requires a graph, please use graph paper and a ruler. Several problems on this assignment require you to make a diagram. Use a ruler and make an accurate sketch. Keep the packet and your work in a folder. Place your completed in a report cover or 3-prong folder. Remember, your teacher will collect your work on the first day of school! Late work will be penalized and may NOT be accepted. You will continue to use your 3-Ring binder for your math class throughout the school year. What if I get stuck? - You should check out other additional study materials. Consult a standard algebra textbook. Find a study buddy or a classmate to help you remember the material. Consult the following websites for hints and examples:

3 Warm-up for Honors Algebra II page 1 1. Simplify the expression by correctly applying order of operations. a b. c d Find the slope of the line that passes through the points 3, 4 and 0, What is the slope of a line that s perpendicular to the line that passes through the points 4,5 and 1, 1? 4. A right triangle has a hypotenuse of 6 2 and a leg of 3 2. Find the length of the other leg. 5. Find the length of a diagonal of a rectangle with sides measuring 4 and A triangles has sides of lengths 5, 7, and 9. Is the triangle right, acute, or obtuse? 7. In rectangle RECT, RC 8x 12 and ET 6x. Sketch and label rectangle RECT, then find the length of side RC. 8. If AR bisects CAB, and m CAR 4x 8, and m CAB 72, find the value of x. 9. In the diagram, lines j and k are parallel. Find the values of x and y.

4 Warm-up for Honors Algebra II page Trapezoid TRAP has bases TR y 7 and AP 3y 5. If the median of TRAP has length 6y 10, find y. 11.The diagonals of a rhombus are 12 and 18 inches. Find the perimeter of the rhombus in simplest radical form. 12. In TRI, TR TI and m T 38. Find the measures of R and I. 13. In ABC, the length of side AB 2x 1, the length of side 3x 2 side AC. The perimeter of the triangle is a. Find the length of each side of the triangle. b. Is the triangle scalene, isosceles, or equilateral? 2 BC x 7, and the length of Find the values of x and y. 15. One of two complementary angles is three times the other. What are the measures of the angles? 16. In the diagram, PQO STV. a. Find SU. b. If the perimeter of STV is 165 cm, find the perimeter of PQO

5 Warm-up for Honors Algebra II page In the diagram, the diameter of the circle is 14 and OM = 1. B Find AB. O M A 18. Refer to the circle shown at right: a. If mhf 70 and meg 80, find m HPF. b. Find m EHG. c. Find m HEF. 19. In triangle ABC, m A 2x 2 5x, m B x a. Find the measure of the largest angle. b. Name the longest sides of ABC, and m C Find the value of each variable. What shape is the figure? 12x 6x 21. A person standing at the top of a cliff sights a boat at an angle of depression of 13. If the cliff is 26 m high, how far is the boat from the base of the cliff? 22. Find the exact area of a regular hexagon with side The ratio of interior to exterior angles in a regular polygon is 3:2. a. Find the measure of an exterior angle. b. Name the polygon.

6 Warm-up for Honors Algebra II page A right circular cone has a volume of 100π and a height of 12 inches. Find its total surface area. 25. Point M=(1,-1) is the midpoint of AB where A=(-1,3). Find the coordinates of B. 26. Graph the line that passes through the point P (6,3) and has slope 2 m. 3 a. Give the coordinates of the x-intercept and two additional points that are on the line. b. Write the equation of the line in slope intercept form. 27. Write the equation of the line 2x 5y 15 in slope intercept-form. 28. Using slope and the following vertices, classify the quadrilateral R=(-1,-6), A=(1,-3), Y=(11,1) and J=(9,-2). a. Are opposite sides parallel? b. Are adjacent sides perpendicular? 29. Graph CAT with C ( 5, 2); A (0,7); T (7,6). Classify CAT as equilateral, isosceles, or scalene. Justify your answer 30. Graph the lines 2x y 12, x 2y 16, and y 3x 8. Algebraically (using substitution or elimination) find the coordinates of the vertices of the triangle.

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