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# College Algebra MATH 1111

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This 7 page Study Guide was uploaded by Anibal Schmidt on Monday October 12, 2015. The Study Guide belongs to MATH 1111 at Georgia Southern University taught by Ionut Iacob in Fall. Since its upload, it has received 26 views. For similar materials see /class/222044/math-1111-georgia-southern-university in Mathematics (M) at Georgia Southern University.

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Date Created: 10/12/15

MATH1111 College Algebra FALL 2009 Study guide Test 1 Covers 12 17 21 NOTE For the test you must show all work where appropriate for instance solving an equation The correct answer with no proper justification quali es for NO CREDIT Solve and check the linear equation 14x 2X 12 1 27x9 48x 9 2 3 6x2 2x16x6 3 4 32 25 2245x 4 Find all values of x such that y 0 5y23x 4x 1 6x 1 5 Solve the equation 6 33 i i 6 2 9 8x x 3 7 T 39 X E 39 4 7 First write the values that make the denominators zero Then solve the equation 5 8 9 7 E 8 3 27 9X237X2 9 14 7 102x 23 x 1 10 Solve the equation x 2x 2X 3 11 11 2x2 4x4x1 12 i i L 12 y 4 y 4 y2 16 Find all values of x satisfying the given conditions 1 2 4 13 and 13 Y1 X7 YZ X3 Y3 X210X21 Y1 Y2 Y3 Determine whether the equation is an identity a conditional equation or an inconsistent equation 14 4X6 62X 6X7 15 26x 7x 1 33x 1 26 Solve the problem 16 A car rental agency charges 250 per week plus 025 per mile to rent a car How many miles can you travel in one week for 325 17 After a 13 price reduction a boat sold for 26100 What was the boat39s price before the reduction Round to the nearest cent if necessary 18 The length of a rectangular room is4 feet longer than twice the width If the room39s perimeter is 200 feet what are the room39s dimensions Find the product and write the result in standard form 19 7 6i 3 2i 20 6 i 6 1 Perform the indicated operations and write the result in standard form 21 3 12 6 i2 Divide and express the result in standard form 8 22 2 3i 23 3 21 Perform the indicated operations and write the result in standard form 24 IE 100 25 2 43 3 43 Solve the equation by factoring 26x23x 400 27 9x2 9x 0 Solve the equation by the square root property 28 2x 32 49 29 3x 32 18 20 21 22 23 24 25 26 27 28 29 Solve the equation using the quadratic formula 30x27x30 30 315X2x 10 31 32 9x27x20 32 Compute the discriminant Then determine the number and type of solutions for the given equation 33x26x50 33 34 8x2 6x 4 34 Solve the polynomial equation by factoring and then using the zero product principle 35 3x3 2x2 12x 8 35 36x33x2 x 30 36 Solve the radical equation and check all proposed solutions 37x 3X 24 37 38 2x3 x11 38 Solve and check the equation 39 x 432 8 39 40 3x 112 3 40 Solve the equation by making an appropriate substitution 41 x4 40x2 144 0 41 42x 1 x300 42 Solve the absolute value equation or indicate that the equation has no solution 43x78 43 443Ix 3 18 44 Express the interval in set builder notation and graph the interval on a number line 45 9 6 45 llHlHlH ll l H l l H H 1098765432101 2 3 4 5 6 7 8 910 Use graphs to find the set 46 6 0 u 3 10 46 47 w 9 3 18 47 Solve the linear inequality Other than Q5 use interval notation to express the solution set and graph the solution set on a number line 486x 225x 3 48 49 12x 21gt 33x 8 49 Solve the compound inequality Other than Q5 use interval notation to express the solution set and graph the solution set on a number line 50 35 5 5x 5 lt 15 50 Solve the absolute value inequality Other than Q5 use interval notation to express the solution set and graph the solution set on a number line 51 1x 318514 51 5233L6 lt2 52 Hl Hl Hl Hl Hl H I H I9 10987654321012 3 4 5 6 7 8 910 Determine whether the equation de nes y as a function of x 53 x2 y 25 53 54 xy 5y 1 54 Evaluate the function at the given value of the independent variable and simplify 55 fx 5x 8 f 3 55 x3 1 56 fx 7 X2 6 f 2 56 Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x 57 57 Y X 58 58 Y X Use the graph to nd the indicated function value 59 y fx Find f 2 59 60 y fx Find f 5 60 Answer Key Testname MATH1111STUDY1P 17 30000 18 Width 32 ft length 68 ft 19 9 32i 20 37 21 27 181 8 8 22 37 E1 23 i 24 i 7 10 25 6 35 2 73 i 26 8 5 27 0 1 28 5 29 3 i 43 7 I37 7 37 30 2 2 31 1 21 139I21 10 10 32 7 i423 18 33 16 two unequal real solutions 34 92 two complex imaginary solutions 2 35 2 g 2 36 1 1 3 37 9

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