Warm-up for Algebra II

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Allen Garey Robinson
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Summer Assignment Warm-up for Algebra II Who should complete this packet? Students who will be taking Algebra 2 in the fall of 2018.

1 Summer Assignment Warm-up for Algebra II Who should complete this packet? Students who will be taking 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 loose-leaf 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 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. 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 Algebra II page 1 1. Simplify the expression by correctly applying order of operations a. 30 3( 4 + 2) b c. 12 (9 2 ) ( 6 3) d Find the slope of the line that passes through the points (3, 4) and (0, 2). 3. 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 diagonal RC. υυυρ 8. If AR bisects ΡCAB, and mρcar = 4x 8, and mρcab = 72, find the value of x. τ 9. In the diagram, lines j τ and k are parallel. Find the values of x and y.

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5 Warm-up for Algebra II page Trapezoid TRAP has bases TR = y + 7 and AP = 3 y + 5. If the median of TRAP has length 6 y 10, find y. (Remember the median of a trapezoid is the average of the bases.) 11. In TRI, TR TI and mρt = 38. Find the measures of ΡR and ΡI. 12. In ABC, the length of side AB = 2x 1, the length of side BC = 2 x + 7, and the length of 3 side AC = 3x 2. The perimeter of the triangle is a. Find the length of each side of the triangle. b. Is the triangle scalene, isosceles, or equilateral? 13. Find the values of x and y. 14. One of two complementary angles is three times the other. What are the measures of the angles? *15. In the diagram, PQO : STV. a. Find SU. b. If the perimeter of STV is 165 cm, find the perimeter of PQO

6 Warm-up for Algebra II page In the diagram, the diameter of the circle is 14 and OM = 1. B Find AB. O M A 17. In triangle ABC, m A = (2 x 2 5x ), m B = (125 11x ), and m C = 15. a. Find the measure of the largest angle. b. Name the longest sides of ABC 18. Find the perimeter and area of the isosceles trapezoid below *19. 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. 20. Find the midpoint of the segment that joins the given points: A=(-1,-3) and B=(-3,6) 21. Graph the line that passes through the point P = (6, 3) and has slope m = 2. 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.

7 Warm-up for Algebra II page Write the equation of the line 2 x + 5 y = 15 in slope intercept-form. 23. 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? 24. Graph CAT with C = ( 5, 2); A = (0, 7);T = (7, 6). Classify CAT as equilateral, isosceles, or scalene. Justify your answer

Warm-up for Honors Algebra II

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 2015. Due Date: The first day of school How many of the problems