Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

11 a) x 1 b)12 a) x abcx a b42 b 3b2b) b a c c) a d) a e) u a f) b a cc xy t 2 1x ( x 1)i) y x j) A 1x 1x 1k) s 1s s 3tv or v n)331m 2nx o) 12 22n mxxd b) x y( d e)c) y yd eb t t b bb bb) a or a 1 c) t or t tt1 a a 1h) xm) t13 a) e14 a) at g)x l)x p)15 x= a 9 = −116 n = −m = 417 a)2Ah bb) h 4 inches18P 2L Pa) W or W L2 2b) W 1 c) W 2 inchesLesson 103m 2n5bya 2x3b3m 2b b 1b1 For example x= 3 or x= −2 (answers vary). The same numbers could be solutions for the other inequality. Both xx state the same condition (are equivalent)2 a) and d)3 For example x= −1 or x= −3 or x= −10 (answers vary.)42x 35. 3, 2 , 1, 0, 1, 2, 3, 4, 56. 3, 2 , 17 −.666, −6, −0.68 a) x 0 b) x 0 c) x 6 d) x 6 e) x 69 , 0, 1, 2, 3, 4, 5b)c)d)e)f)128Answers to <strong>Exercises</strong>
10a)b)c)d)11 a) x 1b) x 4c) x 1d) x 1122x is the value that satisfies both inequalities.313 a) x 3 or x 7 (answers vary)b) x 2 or x 3 (answers vary)14 a) x 4 or x 0 (answers vary)b)1 2 or x 2x (answers vary)15 x 0 (answers vary.)16 x 4 (answers vary)17 a) −5+2 < 4 and b) 5+8 13 ; −5 is not a solution of (c) and (d) −3 − 3d) divide or multiply by -1; sign changes; z < 3 e) multiply by -3; sign changes; z < − 322 a) and d)23 b) and d)24 a) x
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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
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Lesson 4___________________________
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Numerical coefficientsNumerical Coe
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For your convenience, we will displ
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9 818081a) 9 98097 6 76134 4 4 4
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Ex.8Simplify by raising to the indi
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73a 2xxi) 2aj)2( 42a)x(3xk)4x2 ) 3
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Lesson 5___________________________
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FactorizationThe Distributive Law l
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Simplification of algebraic fractio
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Mistake 5.1When factoring 3 from 3x
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Ex.13 Factor2a) 5 a from the follow
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24x ( 5x)g)xa bi)7(a b)bc ( b e)
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Adding and subtracting like termsIf
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) This should be written as 4x 2
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Ex.4 Circle all terms that are like
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682 122k) 6 ( d a) a dl) 3a1(4a
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Lesson 7___________________________
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For instance, the area of a rectang
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a) a b 2bc) a bd) ae)b)aba 22a a
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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 94 and 95: xy x 1 yFactor x .x( y 1)1yDivide
Page 96 and 97: a) b b) a c) tEx.15. SolveEx.16. So
Page 98 and 99: For each number you should check if
Page 100 and 101: ■ Solve the inequality 4x 9 1.
Page 102 and 103: ■ Solve the following inequality
Page 104 and 105: Ex.10 Graph the following number se
Page 106 and 107: d) z 3e) z 13 Ex.22 Knowing x 1
Page 108 and 109: Example 11.2 The expression( 22 2x
Page 110 and 111: Solution:a) To match the form y mx
Page 112 and 113: a x and b 3 , so now we can rewri
Page 114 and 115: Ex.9 For each of the following expr
Page 116 and 117: 114xc) y 5d) y 3x 2 0e) 3y 6x1f
Page 118 and 119: APPENDIX A:Lesson 1ANSWERS TO EXERC
Page 120 and 121: 49C 3255 2(L+W)62mc75a) a b expon
Page 122 and 123: 3(m n)a(x1)g)h)2tx19s s s sThe opp
Page 124 and 125: 52233x1 2 x5 3 1513 a) m ( 2m) 2mb
Page 126 and 127: c) Numerator: one term, 3ab (with t
Page 128 and 129: 18 a) 9 b) 3 c) 3 d) 3e) 6 f) 279
Page 132 and 133: c) x 2d) a 7e) x 10f) a 225 a)
Page 134 and 135: x or 4x ( 7) 0; a 4; b 7g) x (
Page 136 and 137: 3. Let m = ─3. Evaluate the follo
Page 138 and 139: 1. Write the following statements a
Page 140 and 141: 6. Solve the following equations:8.
Page 142 and 143: 8. Factor the following expressions
Page 144 and 145: ___________________________________
Page 146: 3 ;b) x 3 y 6 xy 2 A xy 28. a) x
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Math 017 Materials With Exercises

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