Math 017 Materials With Exercises

More documents

Recommendations

Info

$Math 171 Review for the Final Exam$

$Math 171 Test 2$

$MATH 171 SYLLABUS$

1. Write the following statements as algebraic 6. Subtract 2 a b from 3a 2band simplify.expressions using parentheses if appropriate, and then ___________________________________________remove parentheses. Simplify, if possible:7. Remove parentheses. Simplify.a) The product of 2a 3 and 3a 3 4a 1 b) 2 times the opposite of 3y 9a) 7x 23x b) 2b (1 b) 4 c) 3 subtracted from x, then squared.______________________________________________________________________________________ 8. Simplify if possible. If not possible, clearly say so:2. Factor b from the expression: 9b 2 5b63a 2b3 x 2ya___________________________________________ a)b) c)d)237 32b 3a6b 3 x 2ya3. Factor 5x from the expression: 15x 5x______________________________________________________________________________________4. Collect like terms:9. Write as a single exponential expression.a) 3ab 4ba 5ab22a) 48253 x a2x( 3x2 ) x b)b) 3x 4x 5 3x 64 c) 34a x x 2a______________________________________________________________________________________5. If possible, add the following expressions,otherwise write “unlike terms”.21 2 1 22210. Factor 4 2 8from the expression: y 2 y a) ab b ab) mn (mn)3 3 9 33 22 22c) x y ( 4xy)_____________________________________________________________________________________Sample Test 3 (Lesson 4-6)_____________________________________________________________________________________1. Circle all expressions equivalent tox2 y 6xy 6 3x xy 23x y 2 3 2 2y x y___________________________________________2. Write as a one exponential expression.43x2 9a) b) a23(2x)a c) 3m(3m)___________________________________________3. Replace with a number so the following isequal: a) 9 7 3 b) 25 8 5___________________________________________4. Remove parentheses and identify numericalcoefficient:33 22 4 3 7ba) ( 2x )( 3x) x b) ( 2a b ) c) ( 5b)210b___________________________________________5. Write each statement as an algebraic expressionusing parentheses, and then rewrite withoutparentheses and collect like terms.a) opposite of 3x 5yb) product of x 2 5 and 2x 3c) sum of 5x 4yand 2x 7d) difference of 2x 2 7x 3 and 5x2 8x 66. Factor3 2a) x from the expression 5x 4x 7x.b) 3xfrom the expression 15x 2 3xc) a z from the expression 4a zxa z 2cd) 1 from the expression 2d___________________________________________7. Simplify, if possible. If not possible then write "not6xyxy xzpossible". a)b)9yx4x5x 3yx 4c)d) 3y 5xx 62758. Evaluate the following expression: .255___________________________________________9. Collect like terms, and then evaluate, whena 3 .a) 2a 7a (4 8a)b) (3 a)2 6ac) 6a 9 ( a 3)2136Sample Tests
_____________________________________________________________________________________Sample Test 1 (Lesson 7-9)_____________________________________________________________________________________1. Evaluate the expressions, if x 1,anda)2xyb) yx3y 4___________________________________________2. Evaluate a 2 bc if12a) a 2,bcb) a c 0.4,b 0. 54_______________________________________3. Let x 3m.Express the following5 xexpression in terms of m and simplify:3 x_______________________________________4. Write the following expression 2 x y z interms of m , if z 2x3mand y m.Simplify your answer._______________________________________25. Is x a solution of the following31 34equations? a) b) x2 x 293. Evaluate 2a (3b c)ifa) a 3,b 2,c 2 b) a 2,c 3b 0. 6_______________________________________7. If P x3and Q 2x 4 , find such x ,Pthat a) P Q b) Q 12_______________________________________8. Solve the following equations:1a) b 2 b) 5 2x1c) 2 x 2x 436y 4d) ( x4) 2xe) 3y 22_______________________________________9. Solve the following equations for x . Any timeyou must perform the operation of division,assume that the devisor is different from zero.Simplify whenever possible:xa) 2bb) ax b 2bc) ax a2 x ab___________________________________________10. If l d 8, evaluatea) 2 l d b) 2l 2dc) l d 2_____________________________________________________________________________________Sample Test 2 (Lesson 7-9)_____________________________________________________________________________________1. Evaluate the following expressions, if abc2 2 2abc 2 a)b) a b c4______________________________________x22. Evaluate x 2 3 ifa) x 4b) x 2 1______________________________________3. Write the following expressions in terms of a , ifx y a and xy a 1. Simplify your answer.x ya) xy b)3 32 2x yx y4. Determine whether the followingmathematical sentences represent an equation oran algebraic expression. In the case of anequation, circle the right-hand side of theequation. 3(x 2)3x4,15x , x 25x 7 8 , 2 3 5______________________________________5. Let m 2yand n 3y. Find y so that thefollowing is true.a) m 1 n b) m nSample Tests 137
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 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 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
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 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
show all

Math 017 Materials With Exercises

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?