NAME__________________________________ DATE___________ PD____ BASIC SKILL - Mathematics Assessment Write the following numbers in Scientific Notation. 1) 156.90 _____________________________ 3) .0345 ____________________________________ 2) 12,000 _____________________________ 4) .00890 ___________________________________ Expand the following numbers into standard notatation. 5) 1.23 x 106___________________________ 7) 1.54 x 104________________________________ 6) 2.5 x 10-3____________________________ 8) 5.67 x 10-1________________________________ Solve the following and put your answer in scientific notation. 9) 6.6 x 108 = 12) (1.56 x 10-7) + (2.43 x 10-8) = _____________________ 3.3 x 10-4 ____________________ 13) (2.5 x 10-6) + (3.0 x 10-7) = _______________________ 10) 7.4 x 1010 = 14) (1.2 x 10-9) + (1.2 x 107) = _______________________ 3.7 x 103 ____________________ 15) (2.3 x 104) + (2.0 x 10-3) = _______________________ 11) 2.5 x 108 = 7.5 x 102 _____________________ 16) (2.67 x 10-3) - (9.5 x 10-4) = ____________________ Give the number of significant digits in the following measurements. 17) 2.9910 m ______ 18) 5600 km ______ 19) .00670 kg ______ 20) 809 kg ______ Carry out the following problems and give the answer in the correct units and number of significant digits. 21) 2.674 m = 23) 9.0 cm + 7.66 cm + 5.44 cm = ______________ 2.0 m ___________________________ 24) 10.07 g - 3.1 g = ___________________ 22) 5.25 L x 1.3 L = _____________________ Solve for/Isolate x in the following problems. 25) 3x = 6g 27) 2x2 = dg y b ___________________________ 3 ____________________ 26) d = t 28) 2 (x = y x ___________________________ c ____________________ Make the following conversions. 29) 4008 g = ___________________________mg 31) 239 mm = ___________________________cm 30) 48 ml = ____________________________L 32) 38 kg = _____________________________mg I II III 33) For triangle I above, what is the value of cos A? ___________ 34) What is the value of tan A in triangle I? ____________ 35) Find the value of side c for triangle I. ______________ 36) For triangle III, express side b in terms of a trigonometric function involving ?B and side c. _____________________________________ 37) Which graph below represents an inverse relationship? ____________ 38) Which graph above could have the equation y = kx2 ? _______ 39) Plot a graph using the data in the table below. Be sure to title the graph and label the axes. 40. What is the slope of the line you graphed?________ 42. What is the value of y when x = 6 _____ 41. What is the value of y when x = 4 _____ 43. What is the value of x when y = 0? _____ ANSWERS: 1) 5690 x 102 2) 1.2 x 104 3) 3.45 x 10-2 4) 8.90 x 10-3 5) 1,230,000 6) .0025 7) 15,400 8) .567 9) 2.0 x 10-4 10) 2.0 x 107 11) 3.3 x 105 12) 1.7 x 10-3 13) 1.80 x 10-7 14) 7.5 x 10-13 15) 1.4 x 10-2 16) 4.6 x 101 17) 5 18) 2 19) 3 20) 3 21) 1.3 22) 6.8 L2 23) 22.0 cm 24) 7.0 g 25) x = 2gy / b 26) x = t / d 27) x = 28) x = y2c2 4 29) 4.008 x 106 30) .048 L 31) 23.9 cm 32) 3.8 x 107 mg 33) 4/5 or .8 34) ¾ or .75 35) c = 3(5 or about 6.7 36) b = 2 ? tan 30o 37) Graph C 38) Graph A 39) See plot for line: y = 4x + 3 40) slope (m) = 4 41) y = 19 42) y = 27 43) x = - ¾