Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

x or 4x ( 7) 0; a 4; b 7g) x ( 2.5) 0; a 1;b 2.5x or 18x 5 0; a 18;b 5x where a 12;b 6x b) ( )(2 3x)c) ( y 10a)(y 10a)d) ( 5s 8t)(5s 8t)f) 4 7 0; a 4;b 7h) 18 ( 5) 0; a 18;b 522 a 4;b 2 ; 12 6 023 a) ( 1)(x 1)2 3x e) 1 2 12 a a x x f) ( xy 0.5)( xy 0.5)g) 6 6 33 b b h) [ m (2m1)][m (2m1)] ( m1)(3m1)i) [( x 1) (3x 5)][( x 1) (3x 5)] ( 2x 4)(4x 6)j) [( 2a 3) 3a][(2a 3) 3a] ( a 3)(5a 3)3 3224 a) 4 ; a x;b 4; ( x 4)( x 4x16)3 32x b) 1 (2y); a 1;b 2y;(1 2y)(1 2y 4y)3 322c) (2x) (3y); a 2x;b 3y;(2x 3y)(4x 6xy 9y)32 3 1 2 1 2 1 4 1 2 1 d) ( x ) ; a x ; b ; x x x 33 33 9 22(2x y)(4x 2xy yb) ( 6x 0.1y)(6x 0.1y)25 a) )22c) ( x 3y)(x 3xy 9y)22 2 d) (4a bc)(16a 4abc b c )2 226 10.7 9.3 (10.7 9.3)(10.7 9.3) 1.4 20 284 432 23 427 (10 1) 10 41016101 4101114641132Answers to <strong>Exercises</strong>
APPENDIX B:SAMPLE TESTS_____________________________________________________________________________________Sample Test 1 (Lesson 1-3)_____________________________________________________________________________________1. Write the following statements as algebraicexpressions. Remember to place parentheses whereneeded (please, place them only when needed).a) two seventh of xyb) the product of x and y 2c) xy raised to fourth powerd) Subtract A from B, and then multiply by Ce) take the opposite to x , and then raise it tothe third power___________________________________________2. By placing the minus sign differently, write thea bexpression in two additional equivalentcways. Use parentheses when needed.___________________________________________3. Let m 2. Rewrite the expression replacing thevariable with its value (Remember to placeparentheses ) and then evaluate, if possible.Otherwise write “undefined”.41a) m b) 5 m c) m d)2 m___________________________________________4. Let a 0.1,b 0.3 . Rewrite theexpression replacing the variable with its value(remember to place parentheses ) and thenevaluate, if possible. Otherwise, write3 16. Let x , y . Rewrite the expression4 5replacing the variable with its value (rememberto place parentheses ) and then evaluate, ifpossible. Otherwise write “undefined”.xa) 8x 5yb) 5 xy c) y___________________________________________7. Determine which of the following expressions areequal to xx xx( 1) 1x12x11___________________________________________8. Write the expressions 1 x y as a single3 3fraction. .__________________________________________9. Fill in the blanks to make a true statement.Aa) A___________y2a b 2ab) __________c c3ac) a ______________4b 2 ___________________________________________“undefined”. a) a b b) 100 ab c)10. Perform all numerical operations that area possible. If no simplification is possible, write “not_______________________________________ possible”. a) 4 2xb) ( 4x)( 2)5. Write an algebraic expression representing the2 3x Ac) ( 2x) d) e) 12 xopposite of (do not remove parentheses):93 B_____________________________________________________________________________________Sample Test 2 (Lesson 1-3)_____________________________________________________________________________________x 32. Write the following statements as algebraic1. The expression cannot be evaluated for expressions: x 2a) x raised to the 4which of the following values of x? List all.th power, then subtracted from y.b) the sum of 5 and three-forth of a number.a) x 2 b) x 2c) x 0 d) x 3c) the opposite of b 4d) 6 less than the square of a number.Sample Tests 133
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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
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A solution, the solution set, and w
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■ 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 132 and 133: c) x 2d) a 7e) x 10f) a 225 a)
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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