Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

6. Solve the following equations:8. Is y 0a solution of the following equations:a) 0.6y 0.4 b) 3x121a) 02c) a 4 d) 2 x 2x 4y5 7 1e) 2(2c 1) 4c 2f)x xb) 3y2 y 03 y5 3 3c) 1y 3______________________________________________________________________________7. Solve the following equations for d (assumethat all devisors are different from zero).9. Which of the following numbers are solutionsSimplify your answer whenever possible.of x 2 9 ?a) d c c2 2cba) 3b) ac) db2 b2 bb) 3d_____________________________________________________________________________________Sample Test 3 (Lesson 7-9)_____________________________________________________________________________________31. If A B , evaluate:82a)b) B A c) ABA B_______________________________________2. Evaluate the following expressions, if1x y 0.2 and 0.6:v1x ya) x yb)vv_______________________________________6. Which of the following are solutions ofxy 24 ?a) x 6,y 41b) x 2, y 48c) x 0,y 24_______________________________________7. Solve the following equations.a) x 3 27 b) 2x 7xc) 3(x1) 13x3xd) 2x 15 e) x 12_______________________________________8. Let A 3 x,B x , and C x. Find x so23. Is x 2a solution of x x 2 ? Explain howA Byou arrived at your answer.that the following is true: C 2 3______________________________________________________________________________24. Rewrite the expression 2a b in terms of x. 9. Solve for x . Any time you must perform theWrite your answer without parentheses. operation of division, assume that the devisor isSimplify. a) a x 2,b x 1different from zero. Simplify your answer, ifb) a 3x,b 2xpossiblex_______________________________________ a) ax b b) d c) axacx23d5. Write the following expression 3m(m 2n)interms of t , if m n t . Simplify your answer._____________________________________________________________________________________Sample Test 1 (Lesson 10-11)_____________________________________________________________________________________138Sample Tests
1. Describe the following set of numbers using 5. Write the expression x 7 in the form: x p ,inequality sign and then graph the set of on the where x is unknown and p any number. Thennumber line: all numbers x at least equal to 1.identify p in your representation______________________________________________________________________________2. Which of the following numbers:37 10 96. Write the following expressions in the form A , 1, 0, 2.99, , ,where A is any algebraic expression. Identify A in4 3 33ysatisfy the inequality: x 3?your representation a)b) x3 y 6_______________________________________8_______________________________________3. Solve the following inequalities.1 7. Write the following expressions in the forma) 3x 2 b) 3(x 1) 4xc) 3 2x3 24y ax bx c , where a, b,and c are any_______________________________________ numbers. Then identify a, b,and c ?3x 32 x3 24. The following expression is written in a) y 2x b) 2y 2x 4x 744x p_______________________________________the form . Identify p in this representation.28. Factor the following expressions:a) x 2 1001 4b) y25_____________________________________________________________________________________Sample Test 2 (Lesson 10-11)_____________________________________________________________________________________1. The number 4 satisfies which of the following 5. Write the following expressions in the form ofstatements? a) x 2 b) x 4 c) x 4na , where a and n is an algebraic expression_______________________________________ and then identify a and n:2. Using inequality symbols, describe the set5a) 2 23 3b) ( 2zy) ( x)that is graphed below.a)_______________________________________6. Write the following equations in the formax by c, where a , b,c are any real numbers.b)Identify a, b, and c in your representation.a) 2x 3y 5 b) 3y 7x1c) x 0______________________________________________________________________________ 7. Determine if the following equations are linear3. Solve the following inequalities.equations in one variable. If so, express it in thea) 5x 2 13b) 5 4 x c) 2x 8 form ax b 0, where a is any real number x 6d) 3e) 4x12 4x 3except 0, b is any real number, and x is5unknown. Then identify a and b. If not a linear_______________________________________ equation, then state: not a linear equation44. Write the following expression as a difference2x8x x 4a) x 1 0 b) 1 0 c) xof two expressions, that is in the form A B ,38where A and B are any expressions except zero. _______________________________________Then identify A and Ba) a 3bb)m nkSample Tests 139
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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
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sides (subtracting 4 x from both si
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Mistake 8.2While solving an equatio
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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 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 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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