Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

■ Solvexa c ya for a .xa c yaBy subtracting ya from both sides, group all terms with a onone side.xa ya cIf a variable for which we solve an equation appears in severalterms, factor it. In this case, factor a .a( x y) cDivide each side by x y (assume x y 0 ).ca x ycThe equation xa c ya is solved for a : a . ■x yExample 9.3 Solve the equationA B2 B for A , and then find the value of A , if B 3 .BSolution:A B BBMultiply each side by B.2A BB BBBSimplify.2A B2 B2Add B to both sides.2A 2B2To find the value of A , if B 3, replace B in A 2B with 3 and evaluate.2A 23 2918.Example 9.4 Solve each equation for the specified variable. Always assume that the denominator(divisor) is different from zero. Simplify your final answer.a 2 2a) b 3b for a b) xy 1 y x for xbSolution:a)ab2 2 b 3bAdd2b to both sides.a 2 2 3b bbCollect like terms.a 24bMultiply each side by b .ba 2b 4bbSimplify.b3a 4bb) xy 1 y xBring all terms with x‟s on one side.91
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Math 017MaterialsWithExercises
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TABLE OF CONTENTSLesson 1Variables
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Lesson 1___________________________
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e) „minus x ‟ or „the opposit
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For example,Evaluate 5 x when x 10
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3xd) x( y)e) 2f) 2x yz w(t)Ex.4 T
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Ex.16 Let x 3. Rewrite the express
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e) x5f) x2Ex.28 Substitute“undefi
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Lesson 2___________________________
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Solution:Please, notice the use of
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g)i)4( a 2)h)8y (x)4(ab)j) ( a d)
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1 2Ex.19 If possible, evaluate when
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Lesson 3___________________________
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Commutative Propertyof Additionx y
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2 x 2 xFor example, and thus als
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Example 3.10 Determine which of the
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Exercises with Answers (For answers
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Ex.16 Write the following expressio
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s) ( 0.2xy)( 0.3z)t)4x1Ex.24 Is 1
Page 40 and 41: Lesson 4___________________________
Page 42 and 43: Numerical coefficientsNumerical Coe
Page 44 and 45: For your convenience, we will displ
Page 46 and 47: 9 818081a) 9 98097 6 76134 4 4 4
Page 48 and 49: Ex.8Simplify by raising to the indi
Page 50 and 51: 73a 2xxi) 2aj)2( 42a)x(3xk)4x2 ) 3
Page 52 and 53: Lesson 5___________________________
Page 54 and 55: FactorizationThe Distributive Law l
Page 56 and 57: Simplification of algebraic fractio
Page 58 and 59: Mistake 5.1When factoring 3 from 3x
Page 60 and 61: Ex.13 Factor2a) 5 a from the follow
Page 62 and 63: 24x ( 5x)g)xa bi)7(a b)bc ( b e)
Page 64 and 65: Adding and subtracting like termsIf
Page 66 and 67: ) This should be written as 4x 2
Page 68 and 69: Ex.4 Circle all terms that are like
Page 70 and 71: 682 122k) 6 ( d a) a dl) 3a1(4a
Page 72 and 73: Lesson 7___________________________
Page 74 and 75: For instance, the area of a rectang
Page 76 and 77: a) a b 2bc) a bd) ae)b)aba 22a a
Page 78 and 79: Ex.24 Express the expressiona) m s
Page 80 and 81: A solution, the solution set, and w
Page 82 and 83: ■ Solve the following equation 3x
Page 84 and 85: sides (subtracting 4 x from both si
Page 86 and 87: Mistake 8.2While solving an equatio
Page 88 and 89: Ex.12 Determine whether the followi
Page 90: Lesson 9___________________________
Page 95 and 96: Qc) P2Ex.5 Let x 3 a 2, y 2a1,z
Page 97 and 98: Lesson 10__________________________
Page 99 and 100: Operations that can be performed on
Page 101 and 102: 4 x x 2Example 10.6 Solve the fol
Page 103 and 104: d) x 2and x 2e) All numbers x tha
Page 105 and 106: Ex.15 Find an inequality that is sa
Page 107 and 108: Lesson 11__________________________
Page 109 and 110: a)281x b)0.09xy8x c)6Solution:a) Ex
Page 111 and 112: 2Equations x 3 0 and 4 3 2x 5 ar
Page 113 and 114: c) Since36 m22m (6 ) ,4 249n (7n)
Page 115 and 116: 3 x6g)h) y8159xi) 1000x j)38yEx.14
Page 117 and 118: - identify the value of a and b in
Page 119 and 120: 20 a) A 2b) A 221 a) 6 8 2b)
Page 121 and 122: 27 a) 0 b) −628 a) addition, 7+x
Page 123 and 124: Lesson 4e) No, we cannot. Even if t
Page 125 and 126: ( x y)(b c) xb xc yc yb yc y
Page 127 and 128: 13 412 a) j b) 2 a c) 0 .7zd) 2
Page 129 and 130: 7 a) Yes b) No c) Yes8 a) No b) Yes
Page 131 and 132: 10a)b)c)d)11 a) x 1b) x 4c) x 1d
Page 133 and 134: 12 a) 6 2 ; 6a b) 20 2 ; a 20 c)
Page 135 and 136: APPENDIX B:SAMPLE TESTS____________
Page 137 and 138: 8. Replace X with expressions such
Page 139 and 140: ___________________________________
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1. Describe the following set of nu
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APPENDIX C:SAMPLE TESTS SOLUTIONS__
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c)2 a when 3a ,2 a = 92b) 9 a wh
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Math 017 Materials With Exercises

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