Math MidTerm Exam & Math Final Examination STUDY GUIDE Spring 2011

Transcription

1 Math MidTerm Eam & Math 021 Final Eamination STUDY GUIDE Spring 2011 Name Score TOTAL Final Grade The use of a calculator ma be permitted on this eam. Duration of the Actual test is 0 minutes or less at the discretion of the instructor and will have less number of questions than this stud guide. This stud guide does not necessaril contain questions from ever possible topic covered b the final eam. An topic covered in the course ma be represented in the final. It is recommended that students stud all topics of the course. We also recommend studing chapter tests and chapter eercises. All questions are the propert of Math Department at Kent - Trumbull. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. Round to the nearest hundredth, if necessar. 1) Find 83% of 274? A) B) C) 22,742 D) ) Add or subtract as indicated. Write the answer in lowest terms. 2) ) A) B) 1 6 C) D) ) ) A) B) C) D) 11 4) ) A) B) C) D) Evaluate the epression. ) (-4)3 A) -12 B) 64 C) -64 D) 12 ) 6) ) A) 3 B) 8 9 C) 9 D) 9 7) -2 A) 2 B) - C) D) -2 7) Name the propert illustrated b the statement. 8) 1 + ( + 18) = (1 + ) + 18 A) identit element for addition B) distributive propert C) associative propert of addition D) commutative propert of addition 8) 1

2 9) = 6 A) distributive propert B) associative propert for addition C) identit element for addition D) commutative propert for addition 9) ) (2 7) = 2 (7 ) A) distributive propert B) commutative propert of multiplication C) associative propert of multiplication D) identit element for multiplication ) 11) = 1 11) A) distributive propert B) multiplicative inverse propert C) identit element for multiplication D) associative propert of multiplication 12) 9( + 7) = A) commutative propert of addition B) distributive propert C) identit element for multiplication D) associative propert of multiplication 12) 13) 3 = 3 A) associative propert of multiplication B) identit element for multiplication C) distributive propert D) commutative propert of multiplication 13) 14) 8 + (-8) = 0 A) associative propert of addition B) additive inverse propert C) commutative propert of addition D) identit element for addition 14) Simplif. 1) (-0.3) A) 1.8 B) C) 1.11 D) ) 16) (-4) - 1-9(7) 16) A) 7 9 B) C) D) ) (-) + A) 6 B) - C) D) -6 17) 18) A) 90 B) 4 C)34 D) 36 18) 19) A) 18 B) 12 C) D) 30 19) 2

3 28(18-1) ) 32-3 A) 24 B) 1 C)12 D) 14 20) Multipl or divide as indicated. Write the answer in lowest terms. 21) ) A) 1 4 B) 3 8 C) 1 2 D) ) ) A) B) C) D) ) ) A) 4 1 B) 4 2 C) 4 3 D) ) ) A) B) 32 C) D) Write the fraction as an equivalent fraction with the given denominator. 2) 4 with a denominator of 12 2) A) 3 12 B) C) 12 D) 1 12 Insert <, >, or = to make the statement true. 26) A) = B) > C) < 26) 27) A) < B) = C) > 27) 28) Find the opposite of -29. A) -29 B) C)0 D) 29 28) 3

4 Solve. 29) On a map of Nature's Wonder Hiking Trails, 1 centimeter corresponds to 6 miles. Find the length of a trail represented b a line that is 1 1 centimeters long on the map. 2 29) A) 4 mi B) 1 4 mi C)91 2 mi D) 9 mi 30) The ratio of the weight of an object on Earth to the weight of the same object on Pluto is 0 to 3. If a buffalo weighs 3612 pounds on Earth, find the buffalo's weight on Pluto. (Round to the nearest pound.) A) 8 lb B),836 lb C)8 lb D) 1,083,600 lb 30) Write the decimal as a fraction. Do not simplif. 31) 0.7 A) 1 B) C) 7 00 D) ) Find an equation of the line. Write the equation in standard form. 32) Vertical; through (-8, 4) A) = -8 B) = 4 C) = -8 D) = 4 32) Write the prime factorization of the number. 33) 22 A) B) C) D) ) 34) 468 A) B) C) D) ) 3) 324 A) B) C) D) ) 36) Find the reciprocal of ) A) 1 1 B) 1 C)1 D) - 1 Find an equation of the line satisfing the conditions. Write the equation in the form = a, = b, or = m + b. 37) Through (-7,-8) and (, 38) 37) A) = 8 B) = C) = D) = Find the additive inverse or opposite. 38) -1 A) -1 B) 0 C) D) 1 38) 4

5 Write the percent as a decimal. 39) 77% A) 77 B) 0.77 C) 7.7 D).77 39) Evaluate the epression for the given replacement values. 40) ( + 2)2 = 2, = 4 A) B) 0 C)16 D) 20 40) List the factors of the number. 41) 1 A) 1, 2,,, 11,, 1 B) 1, 2,,, 11, 22, 1 C)1, 2,,, 11, 22,, 1 D) 1, 2, 4,,, 11, 22,, 1 41) Find the function value. 42) Find f(4) when f() = A) 36 B) 60 C)44 D) 92 42) Solve the equation. 43) = ) A) 8 B) -2 C) -4 D) 4 44) 6 + 4(2-4) = ) A) - 1 B) 1 C) - 7 D) ) 3( + 2) 4 = ) A) - 18 B) 6 C) - 6 D) 18 46) -0.3( - 6) + = 0.(9 - ) A).2 B) 13. C) 2.2 D) 1. 46) Find the reciprocal or multiplicative inverse. 47) ) A) B) 9 4 C) D) 9 Simplif the epression. (Remember the order of operations.) 48) (-6-7) - [(-7) - (-14)] A) -6 B) -34 C)6 D) ) 49) 16 - (-18) (-8) A) 1 B) 3 C) -1 D) )

6 0) (-7-2) A) -12 B) -26 C) -24 D) -8 0) Find the slope of the line. 1) 1) A) 0 B) -6 C) 2 D) undefined slope 2) Passes through (1, 6) and (9, -8) 2) A) m = B) m = C)m = 7 4 D) m = - 1 Find the LCM of the list of numbers. 3) 27, 24, 4 A) 216 B) 8 C)72 D) 4 3) 4) 60, 90 A) 360 B) 180 C)30 D) 40 4) Write the equation of the line with the given slope, m, and -intercept, (0, b). ) m = - 4 ; b = 31 A) = B) = 4-31 C) = D) = ) Multipl or divide as indicated. 6) ) A) B) C) D) ) A) 0.36 B) C) 3.6 D) 36 7) 6

7 Find an equation of the line passing through each pair of points. Write the equation in the form A + B = C. 8) Through (-9, -) and parallel to the -ais. A) = -9 B) = - C) = - D) = -9 8) 9) (-8, 1) and (6,-2) A) 3-14 = B) = C)9-8 = 38 D) = 38 9) 60) Through (1, -2) and parallel to the -ais. A) = -2 B) = -2 C) = 1 D) = 1 60) Solve and graph the inequalit. Give answer in interval notation. 61) 38 > ) A) (3, 7] B) [3, 7) C)[3, 7] D) (3, 7) Complete the ordered pair so that it is a solution of the given linear equation. 62) - 2 = - 1 (-9, ) A) (-9, -3) B) (-9, -33) C)(-9, 3) D) (-9, -18) 62) Add or subtract as indicated. 63) A) B) C) D) ) 64) A) B) C) D) ) Determine whether the lines are parallel, perpendicular, or neither. 6) = = 31 A) perpendicular B) neither C) parallel 6) 66) 3-8 = = 2 A) perpendicular B) neither C) parallel 66) Find the square root. Assume that all variables represent nonnegative real numbers. 67) 169 A) 84 B) 13 C)14 D) not a real number 67) 7

8 Multipl. 68) ) A) B) C) D) 7 1 Simplif the epression b combining like terms. 69).8k k k A) 4.6k B) 4.6k C)12.2k D) 4.6k ) Solve the inequalit and draw a number line graph of the solution. 70) 6 ( + ) > 1 ( + 2) 3 70) A) (7, ) B) (-7, ) C)(-, -7) D) (-, 7) Rewrite the epression without absolute value bars. 71) A) -13 B) -1 C)1 D) 13 71) Complete the ordered pairs so that the are solutions of the given linear equation. 72) 6 + = -33 (-7, ),(0, ),(1, ) A) (-7, 9), (0, 33), (1,-39) B) (-7,-7),(0,-33),(1,-39) C)(-7, 9), (0,-33),(1,-39) D) (-7,-1),(0,-33),(1,-39) 72) 73) = 1-2; (6, ),(,-4) 2 73) A) (2, -4), (-4, -4) B) (6, 1), (-4, -4) C)(6, 1), (2, -4) D) (6, -4), (0, 0) Perform the indicated operation. Write the answer in simplest form ) ) A) B) 8 69 C) D)

9 Graph the linear equation b finding and plotting its intercepts. 7) = 30 7) A) 0, 1,, 0 B) (0, -1), (-, 0) C) 0, 1, -, 0 D) (0, -1), (, 0)

10 76) = 8 76) A) B) C) D) Perform the indicated operation. Write the answer in lowest terms. 77) ) A) B) C) 1 D) ) ) A) 2 28 B) C) D)

11 Write an equation of the line. Write the equation in the form = a, = b, or = m + b. 79) Through (-9, 14); perpendicular to = 126 A) = B) = C) = D) = ) 80) Through (7, 6); parallel to = 3 A) = B) = C) = D) = ) Simplif the fraction. 81) ) A) B) C) 2 D) ) ) A) B) C) D) Use the equation to identif the slope and the -intercept of the graph. 83) = 27 A) m = 3 27 ;(0, 7 7 ) B) m = 21 3 ;(0, 7 27 ) C)m = ;(0, 7 7 ) D) m = ;(0, 7 27 ) 83) Solve the inequalit ) 6 < < 7 11 A) < < C) B) < < D) < < ) Perform the indicated operations. 8) (-7)2 A) 49 B) 14 C) -49 D) -14 8) Find the GCF for the list. 86) 6,, 3 A) B) 2 C)1 D) 7 86) 87) 36, 1 A) 1 B) 1 C)3 D) 6 87) 11

12 Write the algebraic epression described. Simplif if possible. 88) A 32-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, epress the other length as an algebraic epression in z. A) (32 - z) cm B) (z - 32) cm C)(z + 32) cm D) (32-2z) cm 88) Evaluate. 89) ) A) 9 49 B) 49 9 C) 9 7 D) ) (0.7)3 A) B) C) 343 D) ) Identif the number as prime or composite. 91) 17 A) Composite B) Prime 91) 92) 187 A) Composite B) Prime 92) Subtract. 93) -43- (-42) A) -1 B) -8 C)8 D) 1 93) Write the fraction as a decimal. If the decimal is a repeating decimal, write using the bar notation and then round to the nearest hundredth. 94) 19 94) 20 A) B) C)0.9 D) Convert as indicated. 9) 17 square feet = square inches 17 A) 2448 B) 144 C)289 D) 204 9) Simplif the epression. 96) [-4 + (- + 7)] A) 30 B) 6 C) - D) 96) 97) 24 - [ + (9-4)] -(4-2)3 A) 32 B) 6 C)22 D) 97) 98) -0.( ) A) 8. B) -8. C) 0.6 D) ) 12

13 ) A) 7 B) -26 C)1 D) -1 99) Solve the application. 0) The difference of a number and 7 is the same as 39 less the number. Find the number. A) -23 B) -16 C)16 D) 23 0) 13

14 Answer Ke Testname: MATH021_FINAL_STUDYGUIDE 1) D 2) A 3) B 4) C ) C 6) D 7) D 8) C 9) C ) C 11) B 12) B 13) D 14) B 1) A 16) B 17) B 18) D 19) B 20) C 21) B 22) A 23) B 24) A 2) D 26) C 27) A 28) D 29) D 30) A 31) D 32) A 33) D 34) D 3) A 36) D 37) D 38) A 39) D 40) B 41) C 42) D 43) D 44) B 4) C 46) C 47) A 48) D 49) B 0) D 14

15 Answer Ke Testname: MATH021_FINAL_STUDYGUIDE 1) A 2) A 3) A 4) B ) A 6) C 7) C 8) B 9) B 60) D 61) B 62) B 63) A 64) A 6) C 66) A 67) B 68) B 69) D 70) B 71) D 72) C 73) B 74) C 7) B 76) B 77) D 78) A 79) A 80) C 81) C 82) A 83) C 84) B 8) A 86) C 87) C 88) A 89) A 90) B 91) B 92) A 93) A 94) C 9) A 96) A 97) B 98) C 99) C 0) D 1