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Name: ________________________ Class: ___________________ Date: __________ ID: A Review Sheet...........................................................Unit II................................................. Part 2 Find the value of x. Then classify the triangle by its angle measures. (The figure may not be drawn to scale.) The following temperatures were taken during a week in December in Nome, Alaska. What is the mean temperature to the nearest degree? 1. −5°F, − 8°F, − 13°F, 16°F, 8°F, 11°F, 0°F 9. Plot the points listed below in the same coordinate plane. Describe any pattern you see in the graph. 2. (3,−4), (2,−2), (1, 0), (0, 2), (-1, 4), (-2, 6) Find the value of x. (The figure may not be drawn to scale.) For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression. 10. 3. -2x + 5y − 9 − 7 Order the numbers from least to greatest. 4. 1.8, − 3, − 15 13 5 , , − 3.6, − 4 3 7 a. b. c. d. Solve the equation. 5. 3 v + 5 = 32 7 6. 4 1 7 a− =− 9 9 9 Find the unknown measure in the parallelogram. (The figure may not be drawn to scale.) 11. A = 2552 m2 Solve the inequality. 7. 60 46 100 50 21 3 < 12 − m 4 4 8. The ratio of the side lengths of a triangular sculpture is 5: 12: 12 and the perimeter is 58 feet. What are the side lengths of the sculpture? Classify the sculpture by its side lengths. 1 Name: ________________________ ID: A Find the volume of the solid. Round to the nearest whole number. (The figure may not be drawn to scale.) Find the angle measure. 15. ∠1 and ∠2 are supplementary and m∠1 = 72º. Find m∠2. a. 18° b. 8° c. 108° d. 162° 12. a. b. c. d. Find the value of x in the figure. (The figure may not be drawn to scale.) 636 m3 31 m3 1080 m3 540 m3 16. Find the volume of the solid. Use 3.14 for π and round to the nearest whole number. (The figure may not be drawn to scale.) 13. 17. 18. Find the unknown dimension. Round to the nearest tenth. (The figure may not be drawn to scale.) 14. V= 297 cm3 a. b. c. d. a. b. c. d. 12.4 cm 27.0 cm 24.8 cm 11.0 cm 2 1 3 6 4 Name: ________________________ ID: A 19. Lines r and t are parallel. Find m∠2 and m∠3. (The figure may not be drawn to scale.) 21. Consider the figure shown. a. If m Ä n, does (2x−15) o equal 75o ? Justify your answer. b. Find the value of x that makes lines m and n parallel. Find each unknown angle measure. a. m∠2 = 119 o ; m∠3 = 119o b. m∠2 = 119 o ; m∠3 = 61 o c. m∠2 = 61o ; m∠3 = 119 o d. m∠2 = 61o ; m∠3 = 61 o 20. What must be the value of x if a is parallel to b? (The figure may not be drawn to scale.) 22. 23. Consider the figure shown. a. b. c. d. a. What is the sum of the interior angles of the quadrilateral shown? b. Find the value of x. c. Find the value of y. 2 43 43 − 2 2 − 37 37 − 2 − 3 ID: A Review Sheet...........................................................Unit II................................................. Part 2 Answer Section 1. 1°F 2. Sample answer: The points rise from left to right and lie on a line. As the x values increase the y values decrease. 3. terms: -2x, 5y, -9, -7; like terms, -9, -7; coefficients, -2 and 5; constant terms, -7 and−9; simplified form, -2x+5y-16 15 5 13 4. − , − 3.6, − 3, − , 1.8, 4 7 3 5. 63 1 6. −1 2 7. m < 9 8. 10 ft, 24 ft, 24 ft; isosceles 9. 20; acute 10. D 11. h = 44 m 12. C 13. 14. 15. 16. 17. 18. 19. 20. 21. 88 ft 3 D C 13 37 B B D a. No, if m Ä n , then alternate exterior angles are congruent. Therefore the two angles are supplementary so, (2x − 15) o + 75o = 180 o . b. x = 60 22. 56°, 84°, 92°, 128° 23. a. 360º b. x = 117 c. y = 63 1