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 chocolate-covered raisins, which usuall sells for $ per pound, and chocolate-covered macadamia nuts, which usuall sells for $8 per pound. The have a 0-pound 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 three-hour 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) Three-fourths 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 slope-intercept form to graph the equation. (Section.) ) =

8 ) =

9 Graph the linear equation. (Horizontal/Vertical Lines - Section.) 6) - =

10 7) - = Problems #6-7 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 slope-intercept form if possible. 0) Slope -, through (, ) 7 = = = = 7-7 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 slope-intercept 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) 6-7 = = 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) (-6-7)(-) ) ( ) ) 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)( ) (7-9)( ) ( - 9)( ) (7-9)(9 + 8) 7) ( + )(9 + ) ( + 9)( + ) ( + )( + 9) ( + 9)( + ) 7) + - ( - 9)( + ) ( - 9)( + ) prime ( + 9)( - ) 7) ( - 77)( + ) ( + )( - 7) ( - )( + 7) prime 7) 8-9 prime (9 + 7) (9-7) (9 + 7)(9-7) 7) ( - )( + ) ( + )( - ) prime ( - )( + ) 76) ( - )( - 6) ( - )( - ) ( - 6)( + ) prime 77) prime 9( + )( - ) (7 + 8)( - ) 9( - )( + ) 78) ( - )( + ) ( + )( - ) ( + )( - ) ( - )( + ) 79) ( + )( - ) prime (6 + )( - ) ( - )( + ) 80) 79 + (9 + 7)( ) (9 + 7)( ) (9-7)( ) (79-7)( ) 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 = 0-8, -, 8, 8, 89) ( + )( + ) =, -, - -, 8-8, 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

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 Sample Departmental Final - Math 46 Perform the indicated operation. Simplif if possible. 1) 7 - - 2-2 + 3 2 - A) + - 2 B) - + 4-2 C) + 4-2 D) - + - 2 Solve the problem. 2) The sum of a number and its

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