Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

682 122k) 6 ( d a) a dl) 3a1(4a 2)3 2m) 3xy 7yx ( xy 3)n) 3cb abc 2( a bc)1 14 33 2o) a b ( a 2b)p) (6x 3x1) (3x 3x 3)3 32 32 3q) (1 4x 6x 7x) (5 4x 6x 7x) r) ( 0.2m 0.03) (2.3m 4)Ex.17 a) Students were asked to write2( A B) in its equivalent form without parentheses and collect2 2like terms of the resulting expression. One student claimed that the answer was A B , the other one22that it was A 2AB B . Was either of them right?2b) If you were asked to write ( A B) in its equivalent form without parentheses and thencollect like terms, what would be your answer?Ex.18 Write an equivalent expression without parentheses, and then collect like terms.4 22a) ( x 2)b) ( 3x1) 1 c) ( a 2)( a 4)d) ( 3b c)b c 2 12e) (3c x) 2(5x c)f) (1 x 2x)(2 x)33 2 2 g) ( a b)(a 2b)h) 2x 3 i) ( a 3b c) ( c a)j) 2(x 2y) 3(5x 3y)2k) 3x (4 x)(x 2)l) 5 a (3 2a)m) 6x 2 ( x 1)(3x 2) 2n)o) 3k 2 3k ( k 2)(2k 3)p) x4 m 2( m 1)422 2 29 ( x 3) 6xEx.19 Write each of the following expressions using algebraic symbols, then rewrite it in itsequivalent form without parentheses and, if necessary, collect like terms.a) Subtract 2xyfrom 3 yxb) The sum of 3x 1and 4x 2c) The difference of 4a 3 2aand 4a3 2d) The difference of a 2 3band 2 b a1 2e) The product of a and 2a3 5f) The product of x 222 y and 3y xg) The sum of mnk , 4 nmk , and 3mnh) The sum of 3 x and 2, then raised to the second poweri) The difference of 2 a and b , then raised to the second powerj) The product of 2 and 4x 1, then added to 5x 2Ex.20 Rewrite the expression a 2(a b) 5bin its equivalent form without parentheses, collectlike terms, and only then evaluate if22
a) a 1,b 23 2b) a , b 14 7c) a 2.4,b 0. 622Ex.21 Rewrite the expression 4x xy 2( yx 12x) 2 in its equivalent form withoutparentheses, collect like terms, and only then evaluate whena) x 1,y 31b) x 2,y 6c) x 0.5,y 0.269
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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___________________________
Page 19: Solution:Please, notice the use of
Page 22 and 23: g)i)4( a 2)h)8y (x)4(ab)j) ( a d)
Page 24 and 25: 1 2Ex.19 If possible, evaluate when
Page 26 and 27: Lesson 3___________________________
Page 28 and 29: Commutative Propertyof Additionx y
Page 30 and 31: 2 x 2 xFor example, and thus als
Page 32 and 33: Example 3.10 Determine which of the
Page 34 and 35: Exercises with Answers (For answers
Page 36 and 37: Ex.16 Write the following expressio
Page 38 and 39: 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 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 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
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49C 3255 2(L+W)62mc75a) a b expon
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3(m n)a(x1)g)h)2tx19s s s sThe opp
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52233x1 2 x5 3 1513 a) m ( 2m) 2mb
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c) Numerator: one term, 3ab (with t
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18 a) 9 b) 3 c) 3 d) 3e) 6 f) 279
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11 a) x 1 b)12 a) x abcx a b42 b
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c) x 2d) a 7e) x 10f) a 225 a)
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x or 4x ( 7) 0; a 4; b 7g) x (
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3. Let m = ─3. Evaluate the follo
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1. Write the following statements a
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6. Solve the following equations:8.
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8. Factor the following expressions
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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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