Part I Multiple Choice


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1 Oregon Focus on Lines and Angles Block 3 Practice Test ~ The Pythagorean Theorem Name Period Date Long/Short Term Learning Targets MA.MS.08.ALT.05: I can understand and apply the Pythagorean Theorem. MA.MS.08.AST.05.1: I can identify irrational numbers. MA.MS.08.AST.05.2: I can estimate, compare and order irrational numbers on a number line and eplain the reasonableness of my solution. MA.MS.08.AST.05.3: I can evaluate perfect square roots up to 225 and perfect cube roots up to 216. MA.MS.08.AST.05.4: I can eplain a model of the Pythagorean Theorem and its converse. MA.MS.08.AST.05.5: I can apply the Pythagorean Theorem to find unknown lengths of two and threedimensional figures. MA.MS.08.AST.05.6: I can apply the Pythagorean Theorem to find the distance between two points on a coordinate system. Part I Multiple Choice 1. What is the value of 36? A. 4 C. 9 B. 6 D A square has an area of 100 square inches. What is the length of one side of the square? A. 10 inches C. 25 inches B inches D. 100 inches 5. What is the length of the hypotenuse in the triangle? 15 A. 4.8 B C. 23 D What is the value of? Round to the nearest tenth, if necessary. 3. What two integers does 54 fall between? A. 5 and 6 C. 7 and 8 B. 6 and 7 D. 53 and 55 A. = 4 B. = 5.8 C. = 6.3 D. = What is the approimate value of 30 to the nearest tenth? A. 5.4 C. 10 B. 5.5 D Which of the following are not the side lengths of a right triangle? A. 3, 4, 5 C. 7, 24, 25 B. 5, 12, 13 D. 6, 8, 12
2 8. Seth bikes 3 miles south and then 2 miles west. Approimately how far is Seth from his starting point? A. 1 mile C. 5 miles B. 3.6 miles D. 13 miles 10. What is the length of c on the graph below? A. 5 B. 6 C. 7 D. 25 c 9. A rectangular bo is 6 inches long, 5 inches wide and 7 inches tall. What is the approimate length of its longest diagonal? A. 9.3 inches C inches B. 10 inches D. 18 inches 11. What is the approimate distance between (9, 2) and (4, 8)? A. 31 C. 7.8 B D. 3.3 Part II Free Response 1. Find the value of each root. a. 16 = b. 49 = c. 121 = 2. A squarebased tent covers an area of 64 square feet. What is the length of one side of the tent? 3. What two integers does 21 fall between? and Answer: 4. Use a calculator to approimate each square root. Round to the nearest tenth. a. 7 = b. 46 = c. 150 = Solve for. Round answers to the nearest tenth, if necessary. 5.! = 25 6.! 7 = ! + 3 = 47
3 Find the value of in each right triangle. If necessary, round to the nearest tenth Determine if each set of given lengths form a right triangle. a. 3, 4, 5 b. 2.0, 2.1, 2.9 c. 5, 7, Which of the three sets of numbers in #11 make a Pythagorean triple? Eplain why. Draw a diagram and solve for the missing measure in # If necessary, round to the nearest tenth. 13. Laura has a 12foot ladder. The safety instructions recommend she should have the base of the ladder 4 feet from the base of the wall she will lean the ladder against. How high will the ladder be able to reach on the wall?
4 14. Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater. How far is the movie theater from Kenny s home if he were to take a direct path? 15. Sara is mailing her friend an umbrella. She has a bo that measures 26 inches by 10 inches by 8 inches. What is the maimum length the umbrella can be to still fit in the bo? Graph the points and find the distance between each set of points. When necessary, round to the nearest tenth. 16. ( 1, 3) and (2, 1) 17. (0, 4) and (4, 3) Use the Distance Formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 18. (1, 7) and (3, 9) 19. (2, 11) and ( 4, 1)
5 Part III Problem Solving 7 th Grade Accelerated LA Block 3 Practice Test Suzanne bought an odd shaped parcel of land to graze her sheep. The land parcel is in the shape of a right triangle. The longest leg on the triangular plot is 80 feet. The other leg is 20 feet shorter. She needs to fence the land parcel so that the sheep don t run away and the fencing costs $12 per foot. How much will it cost her to fence the entire perimeter of the land parcel? Show your work here: Eplain your work here: Developing (1) Nearly Proficient (2) Proficient (3) Highly Proficient (4) Understanding Clearly doesn t understand the problem. Work Shown Eplanation Answer There was no work shown. There was little to no eplanation of the procedures. The answer was incorrect with incorrect procedures. Has some misunderstanding of the problem. There was some work shown. There was a partial eplanation of the procedure. The answer was incorrect, but the procedures were correct/partly correct. Understands the problem, but not completely. Can follow the work shown, but it s incomplete. There was an eplanation for the procedure. Has the correct answer and procedures, with slight errors. It is clear that the problem is understood. All steps were shown. There was a complete eplanation for the procedure. The answer and procedures were correct with no errors.
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