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EXAM 4 CH 8-10 #4 Pre-Algebra / Math 351 – 1 (Prof. Washburn) Student Name/ID: 1. A bottle holds 64 fluid ounces of lemonade. How much is this in pints? Use the table below. Include the correct unit in your answer. Capacity Unit Symbol Fact fluid ounce fl oz cup c pint pt 1 pt = 2 c quart qt 1 qt = 2 pt gallon gal 1 gal = 4 qt 1 c = 8 fl oz 2. Convert 49 ° F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. 5 F − 32 9 9 F = C + 32 5 C= ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 1 / 11 3. Find the perimeter of the square. Be sure to write the correct unit in your answer. 17 yd 4. Find the area of the figure. (Sides meet at right angles.) 3 yd 3 yd 2 yd 2 yd 4 yd 4 yd 5 yd 5. For the following right triangle, find the side length x . Round your answer to the nearest hundredth. x 14 7 9 ft ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 2 / 11 6. The length of a shadow of a building is 9 ft. The distance from the top of the building to the tip of the shadow is 16 ft. Find the height of the building. If necessary, round your answer to the nearest tenth. 16 ? 9 7. The graph below shows how much money was given to a charity over five months. Donation amount (in dollars) 4500 4300 4100 3900 3700 3500 March April May June July Month (a) What was the greatest donation amount in a month? (b) When did the greatest increase in donations occur? ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 3 / 11 8. Graph the line. y = 4x y 8 6 4 2 x -8 -6 -4 -2 2 4 6 8 -2 -4 -6 -8 9. Graph the line. y =− 3 x +1 4 ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 4 / 11 10. Find the x -intercept and the y -intercept of the line below. y 6 5 4 3 2 1 x -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -4 -5 -6 11. Find the x -intercept and y -intercept of the line. 3 x − 6 y = 12 x -intercept: _______________ y -intercept: _______________ ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 5 / 11 12. The equation of a line is given below. 3 x − 6 y = 12 Find the x -intercept and the y -intercept. Then use them to graph the line. x -intercept: _______________ y -intercept: _______________ y 8 6 4 2 x -8 -6 -4 -2 2 4 6 8 -2 -4 -6 -8 13. Multiply. 2 w 4 y 3 ·2 y 7 ·5 w Simplify your answer as much as possible. 14. Simplify. −4 w u 4 3 Write your answer without parentheses. ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 6 / 11 15. Simplify. −3 x y 2 z 3 −x 3 y z 4 2 16. Rewrite without parentheses. −3 v 5 2 −4 v + 8 v − 3 Simplify your answer as much as possible. 17. Multiply. 3b − 2 4b + 1 Simplify your answer. 18. Rewrite without parentheses and simplify. w +5 2 19. Multiply. 9w + 4u 9w − 4u Simplify your answer. ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 7 / 11 20. Evaluate the expressions. −7 0 = 0 2 2 5 = 21. Rewrite the following without an exponent. −9 −1 22. Simplify. 4 x y −2 ·7 y −8 w 3 ·3 w −3 x −6 Use only positive exponents in your answer. 23. Simplify. −4 x −5 y 2 3 Write your answer using only positive exponents. 24. Write 784 in scientific notation. 25. Calculate. 2 × 10 5 3.2 × 10 9 Write your answer in scientific notation. ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 8 / 11 EXAM 4 CH 8-10 #4 Answers for class Pre-Algebra / Math 351 –1 1. 4 pt 2. 49 ° F = 9.4 ° C 3. 68 yd 4. 47 yd 2 5. 12.12 6. 13.2 ft 7. (a) What was the greatest donation amount in a month? $4400 (b) When did the greatest increase in donations occur? March to April y 8. (2, 8) 8 6 4 (1, 4) 2 x (0, 0) -8 -6 -4 -2 2 4 6 8 -2 -4 -6 -8 ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 9 / 11 9. 10. x -intercept: −2 y -intercept: 2 11. x -intercept: 4 y -intercept: −2 12. x -intercept: 4 y -intercept: −2 y 8 6 4 2 x -8 -6 -4 -2 2 4 6 8 -2 -4 -6 -8 13. 20 5 10 w y 14. −64 3 12 w u 15. −3 7 4 11 x y z 16. 12 7 − 24 6 + 9 5 v v v 17. 12 2 − 5 − 2 b b 18. 2 w + 10 w + 25 2 2 ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 10 / 11 2 2 w − 16 u 19. 81 20. −7 2 2 5 21. − 0 =1 0 =2 1 9 84 22. y 23. − 10 5 x 64 y 6 x 15 24. 7.84 × 10 2 25. 6.4 × 10 14 ALEKS EXAM 4 CH 8-10 #4 - 08/18/2015 01:14 PM PDT - Copyright © 2015 UC Regents and ALEKS Corporation. P. 11 / 11