Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

c) x 2d) a 7e) x 10f) a 225 a) “add 3 to both sides”, “divide each side by −1”; a > −7130b) “subtract 1 from both sides”, “divide each side by 3”;5x 3c) “multiply each side by 4”, “divide each side by 3”; x < −20d) “multiply each side by 4”, “divide each side by −1”; x 20e) “subtract 1 from both sides”, “multiply each side by 4”; x 8f) “multiply each side by 4”, “subtract 1 from both sides”; x 526 a) x 6b) x 2c) x 4d) all real numbers e) no solution f)h)37Lesson 111x i)2 3n) no solution o) no solution p)3a 42 a) a 3 and b 4 b)3 a) p 3b) p 34 a 2 and b 55 a 76 A 4 x and B y7 a) X a and Y b3 59 2134x q) x 18 r) y 0 s) 481x j) all real numbers k) all real numbers l)a 4 and b 3 b) X 3 and Y ab8 a) c x 1 and b 2 b)9 (1)-E; x and b 123Answers to <strong>Exercises</strong>a g)4x 3x m) all real numbersa t) no solution9c x and b ya (2)-F; a x and b 1(3)-D; a 8 and b xa 3xand b 5y(5)-B; a 3xand b 5y(6)-C; a 3 and b yA ; 5 ( n) 5 n b) form of A B ; 5 n 5 ( n)A ; 5 ( n) 5 n d) form of A B ; 5 n 5 ( n)a 1 and b b) a 2 and b 3c) 1 1 x 3 1; a and b 122332 3 3 33x ; a 2 and b e) x ; a 1and b f) 8x 3 4 a 8,b 422 22(4)-A;10 a) form of Bc) form of B11 a) 3d)
12 a) 6 2 ; 6a b) 20 2 ; a 20 c) 0.42 3; a 0. 4 d)3 2 ; 7 2 b a e) (5y); a 5yf) 71022 223 234 24(0.7c); a 0. 7 h) ( X ) ; a X i) ( 2x ) ; a 2xj) ( 9xy ) ; a 9xyg) c a b) 3 3 ; a 3 c) 0.33 ; 0. 3313 a) ( 1) ; 114 a)3f) (4x); a 4xg)3a d) 2 3 2 ; 5 3a e) ( z); a z55 x x 2 3 23 33 x ; a h) ( y ) ; a y i) ( 10x ) ; a 10xj) 2 22y 6 464 642 122( x ) ; a x b) ( x ) ; a x c) ( x ) ; a x2 722 3 7 2 3 yb) ( x ) ; A x c) ( x y ) ; A x y d) z57x ; a x;m b) ( stv ) ; a stv;m 7 c) b7 ; a b;m 7715 a) ( x); A x16 a) 5343107;A 32b; a 105x; a 2y B B x y x y2d) ; a ; m 3 e) ; a ; m 4 f) (8x); a 8x;m 2 C C z z2222x ( 2)y 0; a 1;b b) 3x ( 1)y 0; a 3; b 1c) 1 21( 1)22 2x y 0; a ; b 1d) 1x 0y 0; a 1;b 022e)3 2 1 3 1x y2 0; a ; b or 3x 2 y 2 0 if you were to multiply both sides by 4, then a 3,b 14 4 4 4222 2f) 10x ( 5)y 0; a 10;b 5or 10x 5y 0; a 10;b 517 a) 218 a)c) 1 31 3( 1) x y z ; A 1;B ; C b) 6x ( 3)y z;A 6;B 3;C 1 4 24 23 1 1 3 1 1x y z ; A ; B ; C d) 1x ( 1)y 0z;A 1;B 1;C 04 2 4 4 2 43 33 3 1 1 x y 2z;A ; B ; C f) 0 x 0 y z ; A 0; B 0; C 4 44 4 15 151 1y 3x ( 2);m 3; b b) y 1x 0; m 1;b 0 c) y x 0; m ; b 05 5 1 1y 3x 2; m 3;b e) y 2 x ;m 2; b 33y 0x ( 5);m 0; b g) y 0x 0; m 0; b 0 h) y 4x ( 6);m 4; b 6e) 219 a) 220 a)d) 2f) 5b)c)a a 2223;b b;3 2(3) b b 9 6b b22 222x;b 3y;(2x) 2(2x)(3y) (3y) 4x12xy 9y22 2 2 2 2 2 2 4 4 2 4a y ; b ; ( y ) 2( y ) y y 55 5 5 2511x ( 1) 0; a ; b c) 1x 0 0; a 1;b 03311x 0.9 0; a ; b 0. or x 7.2 0; a 1;b 7. 2 e) x 2 0 , a 1,b 28821 a) not linear b) 1d) 9yz310Answers to <strong>Exercises</strong> 131
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Math 017MaterialsWithExercises
Page 3 and 4:
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
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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 130 and 131: 11 a) x 1 b)12 a) x abcx a b42 b
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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