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Tech II - Chapter 2 Test
____   1. the sum of b and 11
          a. b – 11                b.                       c. b + 11              d. 11b



____   2. the product of g and 4
          a. 4g                  b. g + 4                   c.                     d. g – 4



____   3. –2 times the quantity q minus 3
          a. –2q – 3              b. q(–2 – 3)              c.                     d. –2(q – 3)


____   4. the quotient of 6 times a number and 16
          a.                       b.                       c.                     d.



____   5. 4 minus a number
          a. 4 – n                 b. 4n                    c.                     d.



____   6. Evaluate u + xy, for u = 18, x = 10, and y = 8.
          a. 188                   b. 36                    c. 98                  d. 224


____   7. Evaluate –x + 2.7 for x = 0.9.
          a. –1.8                 b. –3.6                   c. 1.8                 d. 3.6


____   8. Evaluate b – 2a – c for a = –7, b = 3, and c = –7.
          a. 24                   b. 3                     c. 10                   d. –18


____   9. When simplifying an expression, you ____ perform operations inside grouping symbols first.
          a. always                     b. sometimes                   c. never


____ 10. The product of two negative numbers is ____ positive.
         a. always                     b. sometimes                        c. never


____ 11. You can use the formula                    to convert temperature in degrees Fahrenheit, F, to temperature in
           degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
           a. 30°C                b. 16.7°C               c. 52.2°C             d. 2.4°C
____ 12. You can use the formula                    to convert temperature in degrees Fahrenheit, F, to temperature in
           degrees Celsius, C. What is 84°F in degrees Celsius? Round your answer to the nearest tenth.
           a. 28.9°C              b. 64.4°C               c. 52°C               d. 14.7°C

____ 13.
           a. 108                  b. 36                    c. 18                  d. 9
____ 14.
           a. 29                    b. 80                    c. 128                  d. 92


____ 15.
           a. 297                   b. 868                   c. 437                  d. 867

           1
____ 16.     (–12m + 38)
           2
           a. −6m + 38                                       c. −6m + 76
           b. –24m + 19                                      d. −6m + 19

           3
____ 17.     (–32m + 36)
           4
           a. −24m + 27                                      c. −24m + 36
           b. –96m + 27                                      d. −24m + 108

           1
____ 18.     (28m + 42)
           2
           a. 14m + 21                                       c. 14m + 42
           b. 14m + 126                                      d. 84m + 21

____ 19.
           Find the distance if the time is 4 hours and the rate is 72 mi/h.
           a. 72                                             c. 288
           b. 144                                            d. 18

____ 20.
           Find the time if the distance is 420 miles and the time is 15 miles per hour.
           a. 14                                             c. 7
           b. 28                                             d. 35

____ 21.
           Find the area of a rectangle if the length is 22 cm and the width is 18 cm.
           a. 396 cm                                         c. 198 cm
           b. 396 cm2                                        d. 198 cm2


____ 22.
           Find the simple interest if the principal = $2400, rate = 6%, and time is 4 years.
           a. $576                                          c. $57,600
           b. $288                                          d. $28,800

____ 23.
           Find the simple interest if the principal = $7400, rate = 12.5%, and time is 2 years.
           a. $1,850                                        c. $18,500
           b. $185, 000                                     d. $185

____ 24.
           Find the simple interest if the principal = $500, rate = 5%, and time is 5 months.
           a. $12,500                                        c. $125
           b. $10.42                                         d. $1,250
____ 25.
           Find the compounded interest if the principal = $800, rate = 8%, and time is 2 years.
           a. $64,800                                      c. $466.56
           b. $78.21                                       d. $933.12

____ 26.
           Find the compounded interest if the principal = $2,000, rate = 10%, and time is 3 years.
           a. $2,662                                       c. $1,331
           b. $2,060.60                                    d. $1,030.30

____ 27.
           Find the simple interest if the principal = $7400, rate = 12.5%, and time is 2 years.
           a. $1,850                                        c. $18,500
           b. $185, 000                                     d. $185

           Find the circumference.



                    5.7 cm
____ 28.




           a. 17.9 cm              b. 35.8 cm               c. 102.07 cm             d. 25.5 cm




                          18 in.
____ 29.




           a. 56.5 in.             b. 113.09 in.            c. 1,017.87 in.          d. 226.19 in.

____ 30. Find the area of the circle.



                     30 in.




           a. 176.71 in.2          b. 2,827.43in.2          c. 353.43 in.2           d. 706.85 in.2
____ 31. Find the area of the circle.



                     50 in.




           a. 1,963. 50 in.2       b. 7,853.98 in.2         c. 157.08 in.2           d. 314.16 in.2
Find the area. The figure is not drawn to scale.




                                                           2 cm
____ 32.



                          5.4 cm
           a. 10.8 cm2                         b. 5.4 cm2           c. 21.6 cm2      d. 7.4 cm2




____ 33.                         3 yd


                                    10 yd
           a. 30 yd2                           b. 6.5 yd2           c. 13 yd2        d. 15 yd2

                                        36 in.


____ 34.        40 in.           33 in.




           a. 1188 in.2                        b. 69 in.2           c. 138 in.2      d. 1440 in.2

                                    19 in.

____ 35.                 12.6 in.                   14.5 in.


                                    29.2 in.
           a. 607.32 in.2                      b. 36.7 in.2         c. 303.66 in.2   d. 77.2 in.2


                         8 in.


____ 36.        7 in.                     8 in.


                          12 in.
                    Not drawn to scale
           a. 77.2 in.2                        b. 80 in.2           c. 75 in.2       d. 70 in.2




____ 37.                                                   7.6 cm




                          3.7 cm
           a.                                  b.                   c.               d.
____ 38. The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base.
         a. 385 cm               b. 455 cm               c. 14,700 cm2           d. 12 cm



           Find the volume of the cylinder.

                           7 in.


                                     10 in.

____ 39.



                Not drawn to scale

           a. 439.82 in.             b. 1539.38 in.       c. 219.91in.           d. 769.69 in.




                           5 in.


                                     12 in.

____ 40.



                Not drawn to scale


           a. 376.99 in.             b. 471.23 in.        c. 188.49 in.          d. 942.48 in.




____ 41. Find the surface area of the cylinder to the nearest whole number.
20 in.


                                                 10 in.




                  Not drawn to scale

           a. 1257 in.                 b. 4200 in.        c. 3770 in.         d. 14002 in.


____ 42. Find the surface area of the cylinder to the nearest whole number.

                              14 in.


                                                 17 in.




                  Not drawn to scale

           a. 1495 in.                 b. 4873 in.        c. 9623 in.         d. 2727 in.


           Find the volume of the given prism. Round to the nearest tenth if necessary.


                                          4 ft

                                       7 ft
____ 43.
                     11 ft

                Not drawn to scale

           a. 308 ft                   b. 301 ft          c. 298 ft           d. 312 ft



                                          3 ft

                                       9 ft
____ 44.
                     12 ft

                Not drawn to scale

           a. 342 ft                   b. 315 ft          c. 324 ft           d. 327 ft

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TechMathII - Ch2 Test

  • 1. Tech II - Chapter 2 Test ____ 1. the sum of b and 11 a. b – 11 b. c. b + 11 d. 11b ____ 2. the product of g and 4 a. 4g b. g + 4 c. d. g – 4 ____ 3. –2 times the quantity q minus 3 a. –2q – 3 b. q(–2 – 3) c. d. –2(q – 3) ____ 4. the quotient of 6 times a number and 16 a. b. c. d. ____ 5. 4 minus a number a. 4 – n b. 4n c. d. ____ 6. Evaluate u + xy, for u = 18, x = 10, and y = 8. a. 188 b. 36 c. 98 d. 224 ____ 7. Evaluate –x + 2.7 for x = 0.9. a. –1.8 b. –3.6 c. 1.8 d. 3.6 ____ 8. Evaluate b – 2a – c for a = –7, b = 3, and c = –7. a. 24 b. 3 c. 10 d. –18 ____ 9. When simplifying an expression, you ____ perform operations inside grouping symbols first. a. always b. sometimes c. never ____ 10. The product of two negative numbers is ____ positive. a. always b. sometimes c. never ____ 11. You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth. a. 30°C b. 16.7°C c. 52.2°C d. 2.4°C ____ 12. You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 84°F in degrees Celsius? Round your answer to the nearest tenth. a. 28.9°C b. 64.4°C c. 52°C d. 14.7°C ____ 13. a. 108 b. 36 c. 18 d. 9
  • 2. ____ 14. a. 29 b. 80 c. 128 d. 92 ____ 15. a. 297 b. 868 c. 437 d. 867 1 ____ 16. (–12m + 38) 2 a. −6m + 38 c. −6m + 76 b. –24m + 19 d. −6m + 19 3 ____ 17. (–32m + 36) 4 a. −24m + 27 c. −24m + 36 b. –96m + 27 d. −24m + 108 1 ____ 18. (28m + 42) 2 a. 14m + 21 c. 14m + 42 b. 14m + 126 d. 84m + 21 ____ 19. Find the distance if the time is 4 hours and the rate is 72 mi/h. a. 72 c. 288 b. 144 d. 18 ____ 20. Find the time if the distance is 420 miles and the time is 15 miles per hour. a. 14 c. 7 b. 28 d. 35 ____ 21. Find the area of a rectangle if the length is 22 cm and the width is 18 cm. a. 396 cm c. 198 cm b. 396 cm2 d. 198 cm2 ____ 22. Find the simple interest if the principal = $2400, rate = 6%, and time is 4 years. a. $576 c. $57,600 b. $288 d. $28,800 ____ 23. Find the simple interest if the principal = $7400, rate = 12.5%, and time is 2 years. a. $1,850 c. $18,500 b. $185, 000 d. $185 ____ 24. Find the simple interest if the principal = $500, rate = 5%, and time is 5 months. a. $12,500 c. $125 b. $10.42 d. $1,250
  • 3. ____ 25. Find the compounded interest if the principal = $800, rate = 8%, and time is 2 years. a. $64,800 c. $466.56 b. $78.21 d. $933.12 ____ 26. Find the compounded interest if the principal = $2,000, rate = 10%, and time is 3 years. a. $2,662 c. $1,331 b. $2,060.60 d. $1,030.30 ____ 27. Find the simple interest if the principal = $7400, rate = 12.5%, and time is 2 years. a. $1,850 c. $18,500 b. $185, 000 d. $185 Find the circumference. 5.7 cm ____ 28. a. 17.9 cm b. 35.8 cm c. 102.07 cm d. 25.5 cm 18 in. ____ 29. a. 56.5 in. b. 113.09 in. c. 1,017.87 in. d. 226.19 in. ____ 30. Find the area of the circle. 30 in. a. 176.71 in.2 b. 2,827.43in.2 c. 353.43 in.2 d. 706.85 in.2 ____ 31. Find the area of the circle. 50 in. a. 1,963. 50 in.2 b. 7,853.98 in.2 c. 157.08 in.2 d. 314.16 in.2
  • 4. Find the area. The figure is not drawn to scale. 2 cm ____ 32. 5.4 cm a. 10.8 cm2 b. 5.4 cm2 c. 21.6 cm2 d. 7.4 cm2 ____ 33. 3 yd 10 yd a. 30 yd2 b. 6.5 yd2 c. 13 yd2 d. 15 yd2 36 in. ____ 34. 40 in. 33 in. a. 1188 in.2 b. 69 in.2 c. 138 in.2 d. 1440 in.2 19 in. ____ 35. 12.6 in. 14.5 in. 29.2 in. a. 607.32 in.2 b. 36.7 in.2 c. 303.66 in.2 d. 77.2 in.2 8 in. ____ 36. 7 in. 8 in. 12 in. Not drawn to scale a. 77.2 in.2 b. 80 in.2 c. 75 in.2 d. 70 in.2 ____ 37. 7.6 cm 3.7 cm a. b. c. d.
  • 5. ____ 38. The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base. a. 385 cm b. 455 cm c. 14,700 cm2 d. 12 cm Find the volume of the cylinder. 7 in. 10 in. ____ 39. Not drawn to scale a. 439.82 in. b. 1539.38 in. c. 219.91in. d. 769.69 in. 5 in. 12 in. ____ 40. Not drawn to scale a. 376.99 in. b. 471.23 in. c. 188.49 in. d. 942.48 in. ____ 41. Find the surface area of the cylinder to the nearest whole number.
  • 6. 20 in. 10 in. Not drawn to scale a. 1257 in. b. 4200 in. c. 3770 in. d. 14002 in. ____ 42. Find the surface area of the cylinder to the nearest whole number. 14 in. 17 in. Not drawn to scale a. 1495 in. b. 4873 in. c. 9623 in. d. 2727 in. Find the volume of the given prism. Round to the nearest tenth if necessary. 4 ft 7 ft ____ 43. 11 ft Not drawn to scale a. 308 ft b. 301 ft c. 298 ft d. 312 ft 3 ft 9 ft ____ 44. 12 ft Not drawn to scale a. 342 ft b. 315 ft c. 324 ft d. 327 ft