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Solution Manual for Corequisite Support for College Algebra or Precalculus

Solution Manual for Corequisite Support for College Algebra or Precalculus is your go-to resource for solving complex textbook problems with clear solutions and explanations.

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    Module 1 1.1.1 1. Equation 2. Equation 3. Expression 4. Expression 5. Equation 1.1.2 1.   19 2.   107 3. 8 3       4.   31  5.   46 1.1.3 1.   7  2. 50 3       3. 20 3       4.   539 5.   100  1.1.4 1. 11 2       2.   14  3.   9 4.   3  5.   12  1.1.5 1. 9 37 x    ; the number is 46  2. 8 512 x  ; the number is 64 3. 4 30 78 x   ; the number is 27 4. 3 9 27 4 x   ; the number is 24 5. 6 3.2 56.6 x   ; the number is 8.9 1.1.6 1. length: 20 inches, width 8 inches 2. 12 inches, 16 inches, 24 inches 3. 103, 104, 105, 106 4. 126, 128, 130 5. 57, 59, 61 1.2.1 1. 9 x   2. 5 x   3. 7 x  4. 6 x   5. 0 x  1.2.2 1. 2. 3. 4. 5. 1.2.3 1.   | 8 x x   2.   | 6 x x   3.   | 5 x x   4.   | 2 x x   5.   | 5 x x  1.2.4 1.   8,   2.   6,   3.   5,   4.   2,   5.   ,5  1.2.5 1. 5 x  ;   ,5  2. 2 x   ;   , 2   3. 7 x  ;   7,  4. 8 x   ;   , 8   5. 3 x   ;   , 3   1.2.6 1. 10 x  2. 102 x  3. 20 x  4. 8 x  5. 25 200 500 x   1.2.7 1. At least $35 2. 12 or fewer 3. 500.5 miles or fewer 4. At least 186 5. 95 or higher

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    1.3.1 1.   1, 4,8,9,16, 25, 27,64,125 2. People who are taller than 6 feet tall or are women 3. All real numbers 4. 0, 1, 2, 3, and 4 5. A and B have no elements in common. 1.3.2 1.   1,64 2. Women who are taller than 6 feet tall 3. Numbers that are between 0 and 5 4.   4, 4  5. A and B are exactly the same. 1.3.3 1. 2. 3. 4. 5. 1.3.4 1. 6 3 x    ;   | 6 3 x x    ;   6,3  2. 10 2 x     ;   | 10 2 x x     ;   10, 2   3. 6 or 3 x x     ;   | 6 or 3 x x x     ;     , 6 3,      4. 1 or 6 x x    ;   | 1 or 6 x x x    ;     , 1 6,     5. 4 or 9 x x   ;   | 4 or 9 x x x   ;     , 4 9,    1.4.1 1. 4 19 3 x y   2. 10 8 x y    3. 3 5 12 4 x z y     4. 2 2 P W L   5. 2 2 2 A r h r     1.4.2 1. 84 centimeters 2. 13 feet 3. 24 millimeters 4. 2 26 5 inches 5. 106 inches 1.4.3 1. 94.2 centimeters 2. 37.7 feet 3. 125.7 millimeter 4. 17.0 inches 5. Twice as large 1.4.4 1. 528 square centimeters 2. 12 square feet 3. 201.1 square inches 4. 70.56 square inches 5. 54 square inches 1.4.5 1. 343 cubic inches 2. 2304 cubic inches 3. 754.0 cubic centimeters 4. 75.4 cubic inches 5. 434.9 cubic inches 1.4.6 1. 500 miles/hour 2. 500 miles 3. 195 kilometers 4. 6 hours 5. 1 hour Module 2 2.1.1 1.   5,3 2.   6,8  3.   3, 2   4.   0, 4  5.   20, 40 

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    2.1.2 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.1.3 1. 2. 3. 4. 5. x y 2  12 0 6 2 0 x y 3  7 3 3 9 1  x y 2 0 6 10 8  25  x y 3 2  21  0 15  7 4 8  x y 0 6 8  0 4 9

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    2.1.4 1. 2. 3. x y 0 5 1 7 2 9 x y 3  10 0 8 3 6 x y 0 6 4 0 2 3 Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. x y 0 10  4 5  8 0 x y 0 9 2 2  3 2 6 Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.2.1 1.   6,0  ,   0,8 2.   2,0  ,   0, 5  3.   8,0 ,   0, 2  4. 9 ,0 2        ,   0, 6  5.   42,0 ,   0,35

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    2.2.2 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.3.1 1. 5 m   2. 11 4 m  3. 5 2 m   4. 0 m  5. Slope is undefined 2.3.2 1. 1 4 m  2. 5 2 m   3. 2 3 m  4. 3 4 m   5. 1 4 m  2.3.3 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator

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    4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.3.4 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.3.5 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator

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    4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.3.6 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 2.3.7 1. Parallel 2. Parallel 3. Neither 4. Perpendicular 5. Neither 2.3.8 1. y increases by 1 when x increases by 1. 2. y increases by 3 when x increases by 5. 3. y decreases by 4 when x increases by 7. 4. y increases by 1 when x increases by 5. 5. y does not change as x increases. 2.4.1 1. 1 m  2. 6 5 m   3. 0 m  4. 4 3 m   5. 3 2 m 

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    2.4.2 1. 5 8 y x   2. 4 6 3 y    3. 2 5 9 3 y x   4. y x  5. 16 y  2.4.3 1. 8 1 y x   2. 5 26 y x   3. 2 12 3 y x    4. 3 36 4 y x   5. 18 6 y x   2.4.4 1. 4 13 y x    2. 3 12 y x    3. 4 3 y x   4. 2 x   5. 8 y  2.5.1 1. 2. 3. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4. 5. Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Module 3 3.1.1 1. 25 2. 81  3. 81 4. 8 27 5. 5 x  3.1.2 1. 60 x 2. 19 x 3.   10 8 x  4. 50 x 5. 11 6 40 x y 3.1.3 1. 18 x 2. 182 x 3. 52 x 4. 32 72 x y 5. 9 33 18 729 x y z

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    3.1.4 1. 4 x 2. x 3. 15 x 4. 3 5 x y 5. 8 2 x 3.1.5 1. 1 25 2. 1 100,000 3. 729  4. 1 729 5. 625 81 3.1.6 1. 42 x 2. 13 1 x 3. 18 24 64 x y 4. 6 16 4 49 x z y 5. 24 16 40 x y z 3.2.1 1. Terms: 6 3 7 , 4 , x x x   ; coefficients: 7, 4, 1   , degrees: 6, 3, 1 2. Term: 8 45 x ; coefficient: 45, degree: 8 3. 3 2 9 4 16 7 x x x    ; leading coefficient: 9; degree: 3 4. 4 9 25 x x    ; leading coefficient: 1  ; degree: 4 5. 6 4 2 5 3 21 x x x    ; leading coefficient: 5; degree: 6 3.2.2 1. trinomial 2. monomial 3. trinomial 4. monomial 5. binomial 3.2.3 1. 5 2. 94 3. 7  4. 2500 5. 4160  3.2.4 1. 2 2 6 20 x x   2. 2 2 4 39 x x   3. 2 2 7 11 x x   4. 2 2 25 x  5. 2 5 5 9 x x   3.2.5 1. 2 3 9 61 x x   2. 5 38 x  3. 3 2 5 7 30 x x x    4. 2 3 8 60 x x   5. 4 3 2 6 26 52 x x x x     3.2.6 1. 15 2 x 2. 7 27 x  3. 60 24 x 4. 10 18 56 x y 5. 9 2 15 12 x y z  3.2.7 1. 9 7 6 3 11 x x x   2. 3 2 24 16 160 x x x   3. 6 5 70 20 x x   4. 8 7 6 5 4 3 6 9 12 24 63 300 x x x x x x       5. 10 7 7 3 4 16 9 36 99 x y x y x y   3.2.8 1. 2 17 30 x x   2. 2 5 176 x x   3. 2 6 31 170 x x   4. 2 14 79 78 x x   5. 3 2 62 120 x x x    3.2.9 1. 2 36 x  2. 2 361 x  3. 2 64 121 x  4. 8 1 x  5. 4 25 49 x  3.2.10 1. 2 8 16 x x   2. 2 18 81 x x   3. 2 25 60 36 x x   4. 2 49 182 169 x x   5. 2 121 176 64 x x  

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    3.3.1 1.   5 4 6 3 11 x x  2.   5 3 4 2 3 7 x x   3.   5 2 9 3 4 9 x x x   4.   3 4 3 10 2 5 1 x x x   5.   3 2 4 2 3 2 3 7 10 x y x y x y   3.3.2 1.    6 9 x x   2.    15 2 x x   3.    3 10 x x   4.    7 13 x x   5.    28 10 x x   3.3.3 1.    5 3 2 x x   2.    6 5 9 x x   3.    2 3 3 2 x x   4.    2 3 3 8 x x   5.    8 5 2 x x   3.3.4 1.    2 4 5 9 x x   2.    2 15 13 x x   3.    2 14 4 1 x x   4.    2 5 4 11 x x   5.    2 7 3 5 x x   3.3.5 1.    15 15 x x   2.    3 10 3 10 x x   3.    3 2 3 2 6 7 6 7 x y x y   4.    10 12 12 x x   5.      2 9 3 3 x x x    3.3.6 1.     2 6 6 36 x x x    2.     2 3 5 9 15 25 x x x    3.     2 4 5 5 25 x x x    4.    2 2 8 8 64 x y x xy y    5.    2 2 7 10 49 70 100 x y x xy y    3.3.7 1.   3 2 2 4 6 1 x x x   2.    16 3 x x   3.    5 11 5 11 x x   4.    2 4 11 x x   5.    2 9 9 81 x x x    3.4.1 1. 2 5 12 x x   2. 2 3 18 x x   3. 4 2 7 9 1 x x   4. 3 2 8 5 6 1 x x x    5. 3 2 7 19 x x    3.4.2 1. 2 x  2. 33 2 6 x x    3. 409 4 41 9 x x    4. 2 14 3 2 7 2 1 x x x     5. 2 14 4 18 4 x x x     Module 4 4.1.1 1. No 2. No 3. Yes 4. Yes 5. Yes

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    4.1.2 1.   5, 2  2.   4,3 3.   0,6 Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4.   , 3 3 x x   Dependent system 5. No solution Inconsistent system Created using the Desmos Graphing Calculator Created using the Desmos Graphing Calculator 4.1.3 1.   11, 3  2.   16,6 3. No solution (inconsistent system) 4. 2 , 4 3 x x        (dependent system) 5.   7, 5   4.1.4 1.   4, 1  2.   8,9 3. 7 , 2 2        4. No solution (inconsistent system) 5. 3 , 3 4 x x         (dependent system) 4.1.5 1. 33 English instructors, 24 math instructors 2. 33 senior citizens 3. 8 pounds of 3% protein and 16 pounds of 9% protein 4. $3500 at 8% profit, $1500 at 5% profit 5. $1700 at 2% interest, $800 at 1.25% interest 4.2.1 1. No 2. Yes 3. No 4. Yes 5. No 4.2.2 1.   5, 2,1 2.   3,7, 4   3.   6,5,10  4.   2,1, 1  5.   10,000, 6000, 4000

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    Module 5 5.1.1 1. 2 3 2. 2 21 3. 1 3  4. 8 7  5. 21 16 5.1.2 1. 13 2 x  2. 5, 9 x   3. 15, 2 x   4. 2 , 6 3 x    5. 0, 6 x  5.1.3 1. 5 6 x x   2. 19 7 x x   3. 3 12 x x   4. 7 2 9 x x    5. 1 8 x  5.1.4 1. 10 8 x x   2. 5 3 x x   3.       7 9 7 6 x x x x      4.      10 7 2 5 x x x x    5.      4 11 2 x x x x     5.1.5 1. 6 2 x x   2. 3 9 x  3.     14 8 2 6 x x x x     4.    2 4 5 x x x    5.      2 4 2 6 x x x    5.2.1 1. 2 5 2. 4 171 3. 92 41 4. 17 39 5. 19 53 5.2.2 1. 5 7 2.   6 3 7 x x   3. 6 5 x  4.   3 10 8 x x    5.       1 9 1 12 x x x x     5.3.1 1.   7,6  2.   12,5  3.   3  4.   23 5.   7,3  5.3.2 1. 125 mph 2. 100 milliliters 3. 6744 4. 78 feet 5. 234 cm 5.3.3 1. 14 inches 2. 18 y  3. 480 pounds 4. 2500 y  5. 2352 y  Module 6 6.1.1 1. 5 2. 13 3. 28 4. 9 16 5. 7 11 6.1.2 1. 1.41 2. 17.32 3. 0.71 4. 51.52 5. 12.65

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    6.1.3 1. 2 2. 7  3. 12  4. 1 8 5. 3 11  6.1.4 1. 4 2. 5  3. 7 4. 10 5. 7  6.2.1 1. 2 14 2. 3 7 2 x x  3. 5 3 6 4 4 3 a b d ac d  4. 13 3 3 x x 5. 3 2 2 2 x x  6.2.2 1. 8 2. 3 2 45 3. 3 2 45 4. 42 5 5. 280 6.2.3 1. 9 2 2. 22 3 3. 14 3 4. 38 6  5. 100 3  6.2.4 1. 15 2 3 35  2. 4 5 7 2 2 11 16 21 2 3 3 x y z y z x y z x yz    3. 64 6 6  4. 72 47 14 x xy y   5. 53 6.2.5 1. 6 7 7 2. 4 5 3. 5 5 6 4. 2 6 5. 5 15 3 6.2.6 1. 4 7 4 5  2. 20 3 8 2 67  3. 35 3 15 138  4. 45 31 6 29  5. 48 14 15 53  6.3.1 1. 3 2 x 2. 4 4 x 3. 5 3 7 x 4.   3 4 2 x 5.   5 2 3 9 x 6.3.2 1. 5 x 2. 7 2 x 3. 45 50 25 9 10 5 5 x y z x y z  4. 3 15 5 216 6 x x    5.   2 33 22 3 8 4 x x  6.3.3 1. 18 25 x or 18 7 x x  2. 4 x 3. 6 10 12 x y 4. 6 x 5. 6 x 6.4.1 1.   146 2.   21 3.   3,6 4.   2,5 5.   8 6.4.2 1.   343  2.   71 3.   102 4.   28 5.   4,12  6.4.3 1. 53 2. 10.6 3. 9.5 4. 22.4 5. 27.2

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