SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Math 03 C-Fair College Departmental Final Eamination Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the linear equation b the method of our choice. 1) 3-6 = ) = Solve. 3) A ball is thrown upward with an initial velocit of 28 meters per second from a cliff that is 70 meters high. The height of the ball is given b the quadratic equation h = -4.9t2 + 28t + 90 where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be 20 meters from the ground. Round our answer to the nearest tenth of a second. 4) = 0 ) - 2 = 8 6) 91 - = - 1 7) A vendor sells hot dogs and bags of potato chips. A customer bus 3 hot dogs and 2 bags of potato chips for $7.2. Another customer bus hot dogs and 4 bags of potato chips for $12.7. Find the cost of each item. 8) A certain aircraft can fl 1330 miles with the wind in hours and travel the same distance against the wind in 7 hours. What is the speed of the wind? 1

2 9) What are the -intercepts of the graph below? ) What are the -intercepts of the function f() = ? Graph the linear equation. 11) 4 + = Solve. 12) A chemist needs 120 milliliters of a 20% solution but has onl 8% and 6% solutions available. Find how man milliliters of each that should be mied to get the desired solution. 13) One number is 7 less than a second number. Twice the second number is 4 less than times the first. Find the two numbers. 14) A painter can finish painting a house in 6 hours. Her assistant takes 8 hours to finish the same job. How long would it take for them to complete the job if the were working together? 1) = 4 16) Five divided b the sum of a number and 7, minus the quotient of 3 and the difference of the number and 7 is equal to 6 times the reciprocal of the difference of the number squared and 49. What is the number? 2

3 Solve. Assume the eercise describes a linear relationship. 17) The average value of a certain tpe of automobile was $14,820 in 1993 and depreciated to $7200 in Let be the average value of the automobile in the ear, where = 0 represents Write a linear equation that models the value of the automobile in terms of the ear. Graph the linear equation. 18) 6 = Add or subtract. Assume all variables represent positive real numbers. 19) ) 4 3 a + 3 8a Factor the polnomial completel. If the polnomial cannot be factored, write prime. 21) ) ) ) ) ) Simplif the radical epression. Assume that all variables represent positive real numbers. 27) Given the cost function, C(), and the revenue function, R(), find the number of units that must be sold to break even. 28) C() = ,000 R() = 9000 Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form. 29) Slope 8; through (, 4) 3

4 30) Slope- 7 ; through (3, ) 8 Use the quadratic formula to solve the equation. 31) = ) = 0 Rationalize the denominator and simplif. Assume that all variables represent positive real numbers ) 34) + 4 Determine whether the relation is also a function. 3) {(-4, -6), (-2, -8), (2, -9), (2, 2)} 36) {(-2, 8), (2, 3), (4, -9), (7, 7), (11, 2)} Write in terms of i. 37) -200 Divide. Simplif if possible. 38) z2 + 7z + z2 + z + 2 d z2 + 2z z2 + 9z + 20 Solve the equation. 39) = 48 40) 41) = = Solve. Assume the eercise describes a linear relationship. 42) When making a telephone call using a calling card, a call lasting 3 minutes costs $1.1. A call lasting minutes costs $2.90. Let be the cost of making a call lasting minutes using a calling card. Write a linear equation that models the cost of making a call lasting minutes. Decide whether the equation describes a function. 43) = + 2 Perform the indicated operation. Simplif if possible. 44)

5 4) Simplif. 46) ) ) ) If P() = , find P(-4). 0) Multipl. Simplif if possible. 1) œ Factor out the GCF from the polnomial. 2) Find an equation of the line through the given points. Write the equation in standard form. 3) Through ( 1 2, 4 ) and (- 3, ) Evaluate the function. 4) Find f(-12/13) when f() = Find an equation of the line. ) Vertical line through (-2, 8)

6 6) Parallel to = -11, through (-2, -12) Find the domain and the range of the relation. 7) {(6, 3), (6, -6), (6, -1)} Use the vertical line test to determine whether the graph is the graph of a function. 8) ) Use the square root propert to solve the equation. 60) = 0 61) ( + 6)2 = 40 62) 2 = 36 Use radical notation to write the epression. Simplif if possible. 63) -321/ Factor b grouping. 64) 6a3 + 8a2b + 1ab2 + 20b3 6

7 Graph the inequalit. 6) < ) Solve the inequalit. Graph the solution set and write it in interval notation. 67) -2(3-3) < -8-6 Write the slope-intercept form of the equation for the line passing through the given pair of points. 68) (-8/, 1/3) and (-1/4, 4/8) Perform the indicated operation. Write the result in the form a + bi. 69) 7 + 4i 7-4i 70) (7-4i) + ( + 7i) Find the domain of the function. 71) f() = 7-12 Solve the equation b completing the square. 72) = 0 73) = 0 7

8 Solve the compound inequalit. Graph the solution set. 74) - > -1 and + > 3 Use the product rule to multipl. Assume all variables represent positive real numbers. 7) 294 œ 6 Multipl or divide. 76) -2 œ -2 Write with positive eponents. Simplif if possible. 77) -7/3 Use the graph of the following function f() to find the value. 78) Find f(4). The figure shows the graphs of the cost and revenue functions for a compan that manufactures and sells binoculars. Use the information in the figure to answer the question. 79) How man binoculars must be produced and sold for the compan to break even? 8

9 Answer Ke Testname: DEPARTMENTAL FINAL 03 REVIEW FR ) 2) ) 7.6 seconds 4) 9 ) 66 6) 7) $1.7 for a hot dog; $1.00 for a bag of potato chips 8) 38 mph 9) -2, 4 ) -6.14, ) ) 90 ml of 8%; 30 ml of 6% 13) 6 and 13 14) hours 9

10 Answer Ke Testname: DEPARTMENTAL FINAL 03 REVIEW FR 1) 16 16) 31 17) = ,820 18) ) ) 6 a 21) ( + 11)( - 6) 22) ( + 4)( + ) 23) ( - )( ) 24) (2 + 9)( + 1) 2) 1243( ) 26) prime 27) ) 7 units 29) 8 - = 76 30) = 61 31) , 32) 6 - i, 6 + i 33) 6 34) ) no 36) es 37) i 2 38) z + 4 z 39) = 7 4, = 4 40) ) = 3 42) =

11 Answer Ke Testname: DEPARTMENTAL FINAL 03 REVIEW FR 43) es 44) - 2 4) ( + 6)( - 3)( + 1) 46) ) ) 49) 1 ( + 3) 2( + 7) 0) ) - 1 2) -3(92-4) 3) = -21 4) ) = -2 6) = -12 7) domain: {6} ; range: {-6, -1, 3} 8) no 9) es 60) -i 11, i 11 61) -6-2, ) -6, 6 63) -2 64) (2a2 + b2)(3a + 4b) 6)

12 Answer Ke Testname: DEPARTMENTAL FINAL 03 REVIEW FR 66) ) (-«, -6) ) = ) i 70) i 71) (-«, «) 72) -8-17, ) - 4, ) (-2, 3) ) 42 76) -2 77) 1 7/3 78) -7 79) 70 binoculars 12

Math Departmental Exit Assessment Review (Student Version)

Math Departmental Exit Assessment Review (Student Version) Math 03 - Departmental Eit Assessment Review (Student Version) Factor completel. (Factoring Review) ) 6-6 - 0 ) 3-343 3) 3 - + 8-40 4) - 36 ) + - 6 + 9 + 8 - + + Add or subtract as indicated. Simplif completel.