Math Departmental Exit Assessment Review (Student Version)


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1 Math Departmental Eit Assessment Review (Student Version) Solve the equation. (Section.) ) ( + )  8 = ) = ) = )  = ) (000  ) = ) (0 + ) = 0.70(0) Solve the formula for the specified variable. (Section.6) 7) I = Prt for t t = P  Ir t = P  I + r t = I Pr t = P  Ir 8) P = L + W for L L = P  W L = P  W L = P  W L = P  W Solve the inequalit. Graph the solution set and write it in interval notation. (Section.9) 9)   ( + 7) [, ) (, ] 6 7 (, ) 6 7 (, )
2 0) (  7) < (, ) (, ] (, ) [, ) ) (, 7) [, 7] [7, ] (7, ) ) 0 (  ) [6, 8] [6, 8) (6, 8] (6, 8)
3 Solve. If needed, round mone amounts to two decimal places and all other amounts to one decimal place. (Sections and.) ) A chemist needs 0 milliliters of a 7% solution but has onl 7% and 77% solutions available. Find how man milliliters of each that should be mied to get the desired solution. 0 ml of 7%; 0 ml of 77% 0 ml of 7%; 0 ml of 77% 00 ml of 7%; 0 ml of 77% 0 ml of 7%; 00 ml of 77% ) The owners of a cand store want to sell, for $6 per pound, a miture of chocolatecovered raisins, which usuall sells for $ per pound, and chocolatecovered macadamia nuts, which usuall sells for $8 per pound. The have a 0pound barrel of the raisins. How man pounds of the nuts should the mi with the barrel of raisins so that the hit their target value of $6 per pound for the miture? lb 9 lb lb 8 lb ) A motorccle traveling at 70 miles per hour overtakes a car traveling at 0 miles per hour that had a threehour head start. How far from the starting point are the two vehicles? mi 80 mi 7 mi 76 mi 6) Linda and Dave leave simultaneousl from the same starting point biking in opposite directions. Linda bikes at 6 miles per hour and Dave bikes at 8 miles per hour. How long will it be until the are 0 miles apart from each other? hr 0 hr 7 hr 7 0 hr 7) Kevin invested part of his $0,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid % annual simple interest. If his total interest for that ear was $900, how much did Kevin invest in the mutual fund? $7000 $000 $6000 $000 8) How can $,000 be invested, part at % annual simple interest and the remainder at 0% annual simple interest, so that the interest earned b the two accounts is equal at the end of the ear? $,000 invested at %; $0,000 invested at 0% $0,000 invested at %; $,000 invested at 0% $,000 invested at %; $0,000 invested at 0% $0,000 invested at %; $,000 invested at 0% 9) Seven less than three times a number is less than ten. Find all such numbers. >  < 7 < < 0) Threefourths a number decreased b one is between negative four and twelve. Find all such numbers. 0 < <  < <  < <  9 < < 9
4 Find three ordered pair solutions b completing the table. Then use the ordered pairs to graph the equation. (Section.) ) =
5 Graph the linear equation b finding and plotting its intercepts. (Section.) )   =
6 ) + =
7 Use the slopeintercept form to graph the equation. (Section.) ) =
8 ) =
9 Graph the linear equation. (Horizontal/Vertical Lines  Section.) 6)  =
10 7)  = Problems #67 come from Section. Write an equation of the line with the given slope, m, and intercept (0, b). 8) m = , b = 6 = = + 6 = =  6 Find an equation of the line with the given slope that passes through the given point. Write the equation in the form A + B = C. 9) m =  ; (, ) =  9 = 9 + = =  Find an equation of the line described. Write the equation in slopeintercept form if possible. 0) Slope , through (, ) 7 = = = = 77 0
11 Find an equation of the line through the pair of points. Write the equation in the form A + B = C. ) (7, 9) and (0, )  + = =   = =  ) (, 6) and (0, )   = 6 + = = 9  = 6 Find an equation of the line described. Write the equation in slopeintercept form if possible. ) Through (, ) and (8, ) = =  77 =  9 = Find an equation of the line. ) Vertical line through (, 0) = = = 0 = 0 ) Horizontal line through (0, ) = 0 = = 0 = Find an equation of the line described. 6) With undefined slope, through , 7 = = = 7 =  7) With slope 0, through  9, = = = 0 =  9 Solve the sstem of equations b graphing. (Section.) 8) =  6 = no solution (, ) (, ) (, )
12 9) + = 7 + = no solution (, ) (, ) (, ) Section. Without graphing, decide: (a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point? (b) How man solutions does the sstem have? 0) + = + = 6 lines intersecting at a single point; one solution parallel lines; no solution identical lines; infinite number of solutions )  6 = = 0 + identical lines; infinite number of solutions parallel lines; no solution lines intersecting at a single point; one solution Solve the sstem of equations b the substitution method. (Section.) ) =   =  infinite number of solutions no solution (, ) (, ) ) = = 0 (, ) infinite number of solutions no solution (, ) ) + = 6 + = 60 (, ) no solution (0, ) infinite number of solutions Solve the sstem of equations b the addition method. (Section.) )  7 = 7 + = (, ) (, ) (, ) (, )
13 6) 67 = = 6 (, ) no solution (9, 6) 8,  8 Evaluate the epression with the given replacement values. (Section.) 8 7) ; = ) ; = and = Simplif the epression. Write the result using positive eponents onl. (Sections./.) 9) (ab) a6b a8b 8a6b 8a8b 0) (67)() ) ( ) ) Perform the indicated operation. (Section.) ) (7   ) + ( + + ) ) ( )  ( ) Multipl (Section./.) ) (  8)(6 + 7) ) (  6)(  )
14 7) (z + ) z + 0z + z + 6z + 6z + 0z + 8) (7a  ) 7a  70a + 7a + 9a  70a + 9a + 9) (a  )(a + ) a + a  a  a  a  a  60) ( + 7)( ) Perform the division. (Section.6) 6) ) m + m  m + m + 7 m + m + m  m + m + 6m + 7 m + m + 6) Factor completel. (Chapter 6) 6) (6 + ) ( + ) 0(6) (0 + ) 6) 8m8 + 96m6 + 8m 6(8m 8 + 6m 6 + m ) m (8m + 96m  8) 6m(8m + 6m + ) m(8m + 96m + 8) 66) (  + ) (   ) (   ) (  + ) 67) ( + )(  9) ( + )(  9) (  )( + 9) (  )( + 9) 68)  9 (  ) ( + ) ( + )(  ) prime 69) (7 + 7)( + ) ( + )( + 7) ( + 7)( + ) ( + )(7 + 7)
15 70)  79 (7 + 9)( ) (79)( ) (  9)( ) (79)(9 + 8) 7) ( + )(9 + ) ( + 9)( + ) ( + )( + 9) ( + 9)( + ) 7) +  (  9)( + ) (  9)( + ) prime ( + 9)(  ) 7) (  77)( + ) ( + )(  7) (  )( + 7) prime 7) 89 prime (9 + 7) (97) (9 + 7)(97) 7) (  )( + ) ( + )(  ) prime (  )( + ) 76) (  )(  6) (  )(  ) (  6)( + ) prime 77) prime 9( + )(  ) (7 + 8)(  ) 9(  )( + ) 78) (  )( + ) ( + )(  ) ( + )(  ) (  )( + ) 79) ( + )(  ) prime (6 + )(  ) (  )( + ) 80) 79 + (9 + 7)( ) (9 + 7)( ) (97)( ) (797)( ) 8) prime (0 + )( + ) ( + )( + ) (  )(  ) 8) prime ( + 6) (  6) ( + 6)(  6) 8) (  )(6  ) (  )( + ) (6 + )( + ) (  )( + ) 8) (7  )(7 + ) (9 + )( + 9) (7  ) (7 + ) 8) (8 + ) Prime (8  ) (8 + )(8  )
16 Identif the correct factor for the given polnomial. 86) Solve the equation. (Section 6.6) 87)  = 0, 0, ) + 6 = 08, , 8, 8, 89) ( + )( + ) =, ,  , 88, 90) = 0 0, ,  ,  ,  0,, Simplif the rational epression. (Section 7.)  8 9) ) ) ) Multipl or divide as indicated. Simplif completel. (Section 7.) 9)
17 96) ) (  )  6 (  ) 98) (  9) (  9) 60 99) ( ) ( + )(  ) 9 (  ) (  ) 00)
18 Answer Ke Testname: MATH008REVIEWSTUDENTMC ) D ) A ) D ) B ) C 6) B 7) C 8) C 9) A 0) A ) B ) A ) C ) C ) B 6) C 7) C 8) D 9) B 0) C ) D ) C ) D ) B ) A 6) D 7) C 8) A 9) A 0) C ) B ) D ) A ) A ) D 6) D 7) A 8) C 9) B 0) B ) A ) C ) D ) D ) A 6) B 7) A 8) D 9) C 0) A ) A ) C ) B ) B ) B 6) D 7) D 8 8) C 9) C 60) B 6) A 6) B 6) B 6) A 6) C 66) A 67) A 68) C 69) B 70) B 7) B 7) D 7) C 7) D 7) D 76) B 77) B 78) D 79) A 80) B 8) D 8) A 8) B 8) C 8) B 86) C 87) C 88) D 89) D 90) A 9) C 9) C 9) A 9) D 9) A 96) A 97) A 98) B 99) C 00) C
C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x  (6x + 24) = 4 A) 0 B) all real numbers C) 4 D) no solution
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