Math 017 Materials With Exercises

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$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

Ex.16 Write the following expressions as a single fraction using the fact that4 7 2a) 5 5 527mn 3b) 4x4x4xm 3 tc) s 1 s 1s 1adbdcda b cdEx.17 According to the rule for multiplication of fractions the following is true:3x3 x . We can7 73x 3say that the quotient was written as a product of a numerical factor and an algebraic expression77x . Write the following expressions as a product of a numerical factor and an algebraic expression.2x2x 2a)b)3y 2x2c)3xe) 3 2(a 2b)d)ya 2bf)3x axEx.18 Using the rule for multiplication of fractions a , rewrite each of the followingy yx 2xexpressions in their equivalent form as a single fraction (for example, 2 ). Remember to usey yparentheses when needed.m ma) 3 b) 3 nn b b c) a d) a 4 4 t ae) ( s 4)f) 4 nn 1m n x 1g) 3 h) a 2txEx.19 Students were to write an answer to the following problem: Using algebraic symbols, write anopposite number to ts .Student A gave the answer:Student B gave the answer:st st34
Student C gave the answer:Who was right? Why?s tx x xEx.20 You know that . By placing the minus sign differently, write each expressiony y yin two additional equivalent ways. Use parentheses when needed.2a2a ca) b)b 2dEx.21 Write each of the following expressions in their equivalent form as a single fraction. Do notsimplify.2 42 1a) x yb) x y3 33 31 yc) 2x 7 d) 3 1x y3 3t tx y1 ne) 2 3f) 2t tk t k ta b cd 12 a m ng) 3 2h) 3t txy xyEx.22 Fill in the blanks to make a true statement.3xa) x ____________y3x1c) ____________y y3xb) 3__________ya b 1d) _________y yEx.23 Perform all numerical operations that are possible. If none are possible, write “not possible”.a) 4 a 8b) 4a( 8)8ac) 42d) 8 x2e) 8x f) 4 2xg) ( 4 2) xh) ( 2x)m 1 i) ( 5 2)j) 2x2 2 2mk) 0.1x(10y)l) 5 2m) 10 xn) 2(6 5) x5212yo) 4 xp)5 2xz1 13bdq) x r)2 29ac35
Page 1 and 2: Math 017MaterialsWithExercises
Page 3 and 4: TABLE OF CONTENTSLesson 1Variables
Page 5 and 6: Lesson 1___________________________
Page 7 and 8: e) „minus x ‟ or „the opposit
Page 9 and 10: For example,Evaluate 5 x when x 10
Page 11 and 12: 3xd) x( y)e) 2f) 2x yz w(t)Ex.4 T
Page 13 and 14: Ex.16 Let x 3. Rewrite the express
Page 15 and 16: e) x5f) x2Ex.28 Substitute“undefi
Page 17 and 18: 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 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 70 and 71: 682 122k) 6 ( d a) a dl) 3a1(4a
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
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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
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a x and b 3 , so now we can rewri
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Ex.9 For each of the following expr
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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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