Math 0388 Final Exam Review Fall 2024-2025 PDF

Math 038 8 F ina l Exa m Rev iew F all 2024- 2 025 1) Find six m ultiples of 22. A) 22, 44 , 66 , 88 , 11 0, 13 2 B) 22, 32 , 42 , 52 , 62 , 72 C) 22, 23 , 24 , 25 , 26 , 27 D) 22, 24 , 27 , 31 , 36 , 42 2) Det erm ine...

Math 038 8 F ina l Exa m Rev iew F all 2024- 2 025 1) Find six m ultiples of 22. A) 22, 44 , 66 , 88 , 11 0, 13 2 B) 22, 32 , 42 , 52 , 62 , 72 C) 22, 23 , 24 , 25 , 26 , 27 D) 22, 24 , 27 , 31 , 36 , 42 2) Det erm ine whether 1 5, 73 8 is divisible b y 2, 3, 5, 6, 9, and / or 10. A) 2, 3, 6 B) 3, 6 C) 5, 6 D) 2, 3 3) Det erm ine whether 7 35 is divisible b y 2 , 3 , 5 , 6, 9, and / or 1 0. A) 5, 6 B) 2, 3 C) 3, 5 D) 3, 6 4) Fin d all th e f ac tors of 4 2. A) 1, 3, 5, 15, 42 B) 1, 3, 5, 9, 1 5, 30, 42 C) 1, 2, 3, 6, 7 , 1 4, 21, 42 D) 1, 2, 3, 5, 9 , 1 5, 30, 42 5) Fin d all th e f ac tors of 2 8. A) 1, 2, 14, 28 B) 1, 2, 4, 7, 28 C) 1, 2, 4, 7, 14, 28 D) 2, 4 , 7, 14, 28 6) Fin d the prim e factor ization 36. A) 2 · 2 · 3 · 3 B) 2 · 2 · 2 · 3 C) 2 · 2 · 2 · 2 · 3 · 3 D) 2 · 2 · 2 · 2 · 3 7) Fin d the prim e factor ization 30. A) 2 · 3 · 5 B) 2 · 15 C) 10 · 3 D) 5 · 6 12x y · 15 8) M ultiply and sim plify. 5 14 x 27 18y 18 0 14 A) B) C) D) 19 7 70 15 30 ÷ 6 9) Divide and sim plify. -7 35 36 A) 25 B) -25 C) - D) 5 49  24x 10) S implify, if possible. 56x y 8x 24 3 3 A) B) C) D) 7y 56 x 8 7 11) Find t he LCM of 7 and 9. A) 7 B) 63 C) 9 D) 45 12) Find the LCM of the expressions. 8x 2 y 2 and 4 x 3 y A) 6 x 2 y 3 B) 10 x 3 y 2 C) 24 x 3 y 2 D) 8 x 3 y2 -3 -5 13) Use < or > for to wr ite a tr ue sentence. 5 7 A) < B) > -2 + 5 14) Add and, if possible, sim plify. x x 8 7 3 x 3x 13 x 26 x A) B) C) D) 56 7 28 7 3x - 1 x 15) S ub tract and, if possib le, sim plify. 5 10 1 x 7 x 2 x 1 x A) B) C) D) 5 10 5 2 34 to m ixed num er al. 16) Convert 3 1 1 1 1 A) B) 12 C) 11 D) 10 3 3 3 7 17) Add. Write a mix ed n um eral for the answer. 71 x + 65x 4 7 27 27 27 27 A) 12 x B) 14 x C) 13 x D) 7 x 28 28 28 28 18) M ultiply. Wr ite a m ix ed num eral for t he answer. 2 1 · 31 5 4 11 3 13 3 A) 6 B) -7 C) 6 D) 7 20 20 20 20 2 ÷ 17 19) Divide. Write a m ixed num eral for the answer wh enever possib le. 4 3 8 22 22 1 23 A) 2 B) 3 C) 2 D) 2 45 45 2 45 20) Write the word n am e for the num b er. 9 07.18 A) Nine hundr ed seven and eighteen hundredths B) Nine hun dr ed seventy a nd eigh teen hundredths C) Nine hun dr ed seventy and eighteen thousan dths D) Nine hun dr ed seven and ei ghteen thousan dths 21) Write th e word n am e for t he n um b er. 3.785 A) T h re e a nd s even hundre d e ighty five tho us andths B) T h re e a nd s even thousa nd e ight hundre d f ifty-th re e tho us a ndths C) T h irty s e ve n th ous an d a nd e ight hundre d fifty-three ten -th ous a ndths D) T h irty s e ve n th ous an d a nd e ight hundre d fifty-th re e hundr e dths 22) Write th e n um ber 3.0 3 as a frac tion. 30 3 30 3 3 30 3 A) B) C) D) 1000 10 10 0 10 0 23) Write decimal notat ion of the f rac tion - 23 10 A) -230 B) -0. 023 C) -0. 23 D) -2. 3 9 24) Write decimal notation of the f rac tion 25 A) B) C) D) 25) Which num b er is larger? - 0.9 289 and -0.912 A) -0. 9289 B) -0. 912 26) Use < or > - 0.02113........ - 0.01 89 99 A) > B) < 27) Round 5 6.6 065 to the nearest one. A) 57 B) 56.6 08 C) 56.6 06 D) 56 28) Round 2 6.7 307 to the nearest tenths. A) 26.7 32 B) 26.7 C) 26.7 30 D) 26.73 29) Round 4 1.7 553 to the nearest tenths. A) 41.76 B) 41.8 C) 41.7 54 D) 41.7 56 30) Round 7 1.1 563 to the nearest hundredths. A) 71.16 B) 71.1 55 C) 71.16 D) 71.1 57 31) Round 5 7.1 716 to the nearest thousandth. A) 57.1 73 B) 57.1 72 C) 57.17 D) 57.1 71 32) E stim ate 0.06 + 57.3 + 0.7 3 b y rounding first to the nearest one. A) 58 B) 56 C) 59 D) 61 33) Estim ate 1 5.9 74 5 + 8 4.9 732 by rounding first to the nearest tenth. A) 100.4 B) 101.2 C) 101.0 D) 100.7 34) Estimate 1 5.974 5 ÷ 3.7 21 by r oundin g first to th e n earest on e. A) 16 B) 4 C) 4 D) 64 35) Find t he average of the following set of numb ers. 67, 77, 53, 73, 50, 77, 51 A) 77 B) 67 C) 64 D) 56 36) Find t he m edian of th e following set of numb ers. 52, 72, 2 79, 2 50 , 4 05, 4 71 A) 27 9 B) 218.5 C) 264.5 D) 25 0 37) Find any m odes t hat exist in the f ollowing set of num bers.. 5 9 97 3 5 8 23 3 4 5 A) No mode B) 3, 5 C) 3 D) 5 38) The circ le graph shows t he per centage of students in a cert ain c ollege who at tend different sporting events. 7% 13% 38% 18% 24% What percentage of students do not at tend S oc cer or Bask etb all m atches? A) 56 % B) 4 4 % C) 38 % D) 18 % 39) This pict ograph shows projec ted sales of com pact disk s (CDs) for a popular rock b and for seven con secutive years. Year Projected CD Sales 2 013 2 012 2 011 2 010 2 009 2 008 2 007 = 1 00,000 C Ds Approxim ately how m any fewer CDs will be sold in 2 009 t han in 2 011? A) 500,000 CDs B) 400,000 CDs C) 600,000 CDs D) 4 CDs 40) Find the perim eter of the polygon. 32 m 15 m 15 m 26 m A) 88 m B) 32 m C) 47 m D) 390 m 41) Fin d the area of t he par allelogram. 6 in. 12 in. A) 72 in.2 B) 144 in.2 C) 36 in.2 D) 18 in.2 42) Find t he area of the triangle. 48 m 42 m 50 m A) 10 50 m 2 B) 10 08 m 2 C) 882 m 2 D) 21 00 m 2 43) Find t he area. 6 ft 5 ft 12 ft A) 23 f t2 B) 36 f t2 C) 45 f t2 D) 90 f t2 44) Find t he area of a rect an gle measuring 3.5 yd widt h by 1 0.47 yd len gth. A) 12.25 yd2 B) 36.6 45 yd2 C) 13.97 yd2 D) 73.2 90 yd2 45) E valuate - 3x 2 + 2 y - 1 0 wh en x = - 2 and y = 5 1 A) 0 B) - 12 C) - D) 72 72 2 x + 4y , wh en x = 21 and y = 63 46) E valuate 7 A) 15 B) 42 C) 10 D) 29 4 9 x + 8y , wh en x = 6 and y = 14 47) E valuate 2x - 12 A) 16 6 B) 35 C) 34 D) Undefines 48) Translat e t he phrase to an algeb raic ex pression. " x divided by eight" x A) 8 - x B) C) 8x D) 8 + x 8 49) Translat e t he phrase to an algeb raic ex pression. "Three t im es x in creased b y eight" A) 8x + 3 B) 8x C) 3x - 8 D) 3x + 8 50) Translat e t he phrase to an algeb raic ex pression. "Three t im es a num ber decreased b y nine" A) 9x + 3 B) 3x - 9 C) 3x - 9 D) 9x 51) Translat e t he phrase to an algeb raic ex pression. "1 2 subt racted from five tim es a n um ber" A) 3x + 3 B) 12 - 5x C) 3x D) 5x - 12 52) Translat e t he phrase to an algeb raic ex pression. "Th e sum e of 1 6 an d six tim es a num ber" A) xx + 16 B) 12 - 5x C) 2x + 3 D) 2x 3 = ? 53) Find an eq uivalent expression wit h the given denom inat or. 5x 5x y 15 y 3y y 3 xy A) B) C) D) 5 xy 5 xy 5 xy 5 xy 54) M ultiply. 6 (3 x + 3y + 2 ) A) 18x + 18 y + 2 B) 18x + 3y + 12 C) 18x + 3y + 2 D) 18x + 18 y + 12 55) Factor. 2 m - 14n + 4 A) 14(2 m - n + 4) B) 2(m - 14 n + 4) C) 2(m - 7n + 2 ) D) 2(m - 7n + 4 ) 56) Fac tor. 5x2 + 15x A) x(5x + 15) B) 5x(x + 3) C) 5x 2 (x + 3) D) 5x(x + 15) 57) Rem ove parent heses and simplify. - 9(5x+ 3) + 5(6x + 3) A) -15 x + 3 B) -15 x - 12 C) -72 x D) -4x - 6 58) S im plify. [5(x - 4) - 2] + [3(x - 1 ) + 3] A) 8x - 6 B) 8x - 2 C) 8x - 22 D) 5x - 25 64 - 3 · 4 59) S im plify. 4 3 ÷ 4 2 - (- 4) 2 1 13 1 13 A) B) C) D) - 12 5 8 3 60) S im plify. - 1 2 - - 14 - 5 A) 7 B) -31 C) 31 D) -7 61) S im plify. 17 + 1 4 · 5 - (- 9) A) 14 6 B) 96 C) 45 D) 16 4 62) Dec ide if 3 is a solution to the eq uation 9x + 5 = 63 A) Yes B) No 63) S olve. x- 1 =- 2 2 7 3 11 11 3 A) - B) - C) D) 14 14 14 14 64) S olve. 27 = x - 1 3 A) -14 B) 14 C) 40 D) -40 65) S olve. 9y - 4 = 36 + y 16 A) B) 5 C) 4 D) 4 5 66) S olve. 8 x - (4 x - 1 ) = 2 1 1 1 1 A) B) C) - D) - 4 12 12 4 67) S olve. 3(x + 6) - (3 x + 1 8) = 0 A) 6 B) No solution C) All r eal numbers D) 0 68) S olve. 5(x + 4) - (5 x + 2 0) = 1 2 A) 0 B) All r eal numbers C) No solution D) 4 69) S olve. V = 1 Bh for B 3 3V V h 3h A) B = B) B = C) B = D) B = h 3h 3V V 2V = 3 x 5 y + -9 70) S olve. for y 3 6V - 3 x + 9 V - 3 x + 45 A) y = B) y = 12V - x - 9 6V + 9 C) y = D) y = 71) E valuate th e form ula P = 2 L + 2 W when L = 9 in. and W = 4 in. A) P = 13 in. B) P = 72 in. C) P = 26 in. D) P = 14 4 in. 72) E valuate th e form ula V = 3x 2 - 7 y when x = -3 in. and y = 2 in. A) V = 16 0 in. B) V = 13 in. C) V = 80 in. D) V = 1 3 i n. 73) What is 5% of 3 00? A) 0. 15 B) 15 C) 1.5 D) 15 0 74) 21 is 7% of what num ber? A) 30 B) 3000 C) 30 0 D) 14 7 75) What percent of 1 945 is 24? A) 81 04.2% B) 22.3% C) 12.3% D) 1.2% 76) The sum of three consecut ive integers is 16 2. Find t he integers. A) 81, 82 , 83 B) 90, 92 , 94 C) 53 , 54, 55 D) 88, 90 , 92 77) The sum of t hree consec ut ive even integers is 1 56. Find th e int eger s. A) 52, 54 , 56 B) 45, 46 , 47 C) 50, 52 , 54 D) 54, 56 , 58 78) The sum of t hree consec ut ive odd integers is 1 59. Find th e int eger s. A) 55, 57 , 59 B) 46, 47 , 48 C) 51, 53 , 55 D) 53, 55 , 57 79) S olve. - 5x + 7 > - 6x - 5 A) {x x > 2 } B) {x x < - 12 } C) {x x > - 12 } D) {x x < 2 } 80) S olve. 15x - 2 0 > 5(2x - 1 2) A) {x x > - 8} B) {x x - 8} C) {x x < - 8} D) {x x - 8} 81) Det erm ine whether (2 , 2 ) is a solution of the eq uation 3 x + y = 8. A) No B) Yes 82) Find t he x- intercept and the y-interc ept, in that or der. - 3x + 3 y = - 3 A) (0 , - 1) (0, -6 ) B) (1 , - 6) (-1 , - 3) C) (1 , 0 ) (0, -1) D) (- 1, 0 ) (- 6, 0) 83) Graph the lin ear eq uation 2 x - y = -2. A) B) C) D) 84) Find the slope of the line through the two points. (- 7, -9) and (9 , -9 ) A) 4 B) -4 C) 1 D) 0 85) Find t he slope of the line represented by the eq uation. -4x + 8y = 32 1 1 A) Sl op e -2 B) Sl op e 2 C) Sl op e - D) Sl op e 2 2 86) Find t he slope of th e line. A) 1 B) -1 C) -5 D) 5 87) Graph. x=2 A) B) C) D) 88) Write an equat ion f or the graph. A) y = x + 8 B) y = 4 C) x = 4 D) y = x + 4 89) Wr iet an equat ion of the line wit h slope -4 and cont ains (2 , 3 ). Write t he eq uation in slope-intercept f orm. 1 1 A) y = -4 x + 11 B) y = - x + 11 C) y = -4 x - 11 D) y = -4 x + 4 11 90) Find an eq uation of the line that contains the points (2 , 0) an d (-7 , 5). 1 23 5 x + 10 1 23 5 10 A) y = x + B) y = C) y = - x + D) y = - x + 6 6 9 9 6 6 9 9 91) Det erm ine whether the graphs of the eq uations are parallel lines, perpendicular lines, or neither. 3x - 4y = 4 8x + 6y = 4 A) Parallel B) Neit her C) P erpendicular 1 92) Express usin g positive exponen ts. x -6 1 A) B) x -6 C) 6x D) x 6 x6 93) E valuate. cd0 A) 1 B) cd C) c D) d y - 11 94) D ivide and sim plify. y2 1 1 A) B) y13 C) y9 D) y -9 y 13 95) M ultiply and sim plify. x · x -8 1 1 A) B) x 9 C) x 7 D) x7 x9 96) S im plif y. (-5 x 4 y) 2 A) (- 5)2 x 6 y 2 B) -10 x 4 y C) (- 5)2 x 8 y 2 D) -10 x 4 y2 4 5 97) S im plif y. b- 2 b 10 1024 1 A) 1024b 10 B) C) D) 1024 b 10 1024 b 10  98) Write the num ber in scien tific notat ion. 3 02.01 A) 3. 02 01 × 101 B) 3. 02 01 × 102 C) 3. 02 01 × 10- 2 D) 3. 02 01 × 10- 1 99) Write the num ber in scien tific notat ion. 2 56 57 A) 6. 02 83 × 101 B) 2.5657 × 10 4 C) 6. 02 83 × 10- 1 D) 6. 02 83 × 10- 2 10 0) Write the num ber in scientific notation. 0.000 6 37 A) 6. 37 × 10 -4 B) 6. 37 × 10 4 C) 6. 37 × 10 -5 D) 6. 37 × 10 -3 10 1) Collect like t erm s. -4x 7 + 7x 9 - 3x 8 - 2x 7 + 8 x 8 + 9x 9 A) 15x 48 B) 16x 9 + 5x 8 - 6x 7 C) 16x 18 + 5x 16 - 6x 14 D) 11x 9 + 11x 8 + 15x 7 10 2) Identify the degree of he polyn om ial. 15x 8 y z - 4x 6 y 2 + x 5 yz 3 A) 6 B) 5 C) 10 D) 8 10 3) Evaluate the polynom ial. -2x 2 - y 2 + x y for x = -2 an d y = 4 A) 0 B) -32 C) 16 D) -16 10 4) Add. (3 + 9x 5 + 9x 2 ) + (2x 5 - 4x 2 + 8) A) 27x 7 B) 5x 5 + 5x 2 + 17 C) 11 + 5x 5 + 11x 2 D) 11x 5 + 5x 2 + 11 10 5) S ubtrac t. (6x + 5x 6 - 1 9x 4 ) - (-16x 4 + 3x 6 + 1 3x ) A) 2x 6 - 3x 4 + 19x B) 2x 6 - 16x 4 + 19x C) -8x 11 D) 2x 6 - 3x 4 - 7x 10 6) M ultiply. (-6 x 2 )( 5x 3 ) A) 11x 6 B) -30 x 5 C) -30 x 6 D) 11x 5 10 7) M ultiply. 6 x 2 (-9 x + 7) A) -54 x + 42 B) -54 x 3 + 42x 2 C) -54 x 3 + 7 D) -12 x 2 10 8) M ultiply. (2x - 4)(x - 9) A) x 2 + 36x - 22 B) 2x 2 + 3x + 36 C) x 2 - 22x + 3 D) 2x 2 - 22x + 36 10 9) M ultiply. (x - 3)( 7x 2 + x + 9) A) 7x 3 - 22 x 2 + 6x - 27 B) 7x 3 + 20 x 2 + 6 x - 27 C) 7x 3 - 20 x 2 + 6x - 27 D) 7x 3 - 20 x 2 + 12x - 27 11 0) M ultiply. (x 2 - 8) 2 A) x 4 + 64 B) x 4 - 8x 2 + 64 C) x 4 - 16x 2 + 64 D) x 4 - 8x + 64 11 1) Dec ide whet her or not the or dered pair is a solution of t he syst em. (-3 , -2 ) 2x = 4 - y 4x = 8 - 2y A) Yes B) No 11 2) S olve. x+y=2 x - y = 16 A) (- 9, -6) B) (8 , - 6) C) (9 , - 7) D) No solution 11 3) -x + 5y = - 39 2 x - 5y = 43 A) No s olution B) (4, -7) C) (5, 4) D) (-4, -8) 11 4) S im plif y. - 49 A) Not a r ea l number B) -24 C) -8 D) -7 11 5) S im plify. 4 x2 A) 4x B) 2x 2 C) 2x D) -2x 11 6) S im plify. 1 21x 4 y 10 A) 8x 2 B) -8x C) 64x D) x 2y5 11 7) S im plify. (z - 5) 2 A) z - 5 B) z - 5 C) (z - 5)2 D) z- 5 11 8) S im plify. 8 1(2x + 3) 8 A) 9 (2x + 3) B) 9 (2 x + 3)4 C) (2 x + 3 )4 D) (2 x + 3 )