John Jay College of Criminal JusticeThe City University of New YorkDepartment of Mathematics and Computer ScienceMAT 105 - College Algebra

Departmental Final Examination Review

Topic #1: Evaluating and Simplifying Algebraic Expressions

Evaluate the algebraic expression for the given value or values of the variable(s).

1) y - 7x6x + xy

; x = -2 and y = 3 1)

A) -1718

B) 116

C) - 1 D) 1118

2) -b + b2 - 4ac2a

when a = 5, b = 14, and c = -3 2)

A) 15

B) -15

C) -3 D) 3

Simplify the algebraic expressions:3) (12y + 9) + (11y2 - 6y + 9) 3)

A) 11y2 + 18y - 18 B) 29y6 C) 11y2 - 6y + 18 D) 11y2 + 6y+ 18

4) (3a - 2b - 5c) - (9a - 6b - 7c) 4)A) -6a + 4b + 2c B) 12a - 8b - 12c C) -6a + 4b - 12c D) -6a - 8b + 2c

5) (x - 11)(x2 + 7x - 5) 5)A) x3 - 4x2 - 82x + 55 B) x3 + 18x2 + 82x + 55C) x3 + 18x2 + 72x - 55 D) x3 - 4x2 - 72x - 55

6) -35x2 + 28x + 217

6)

A) -5x2 + 4x + 3 B) -35x2 + 28x + 3C) -245x2 + 196x + 147 D) -5x2 + 28x + 21

7) 20x9y11z9

4x4y3z87)

A) 5x4y7z B) 5x5y8 C) 5x5y8z D) x5y8z

1

8) 25x13y6

5x3y3

08)

A) x10y3 B) 5x10y3 C) 1 D) 0

Topic #2: Integer Exponents

Simplify the exponential expressions:9) (-6x4)(8x7) 9)

A) -48x28 B) -48x11 C) 48x11 D) 48x28

10) (-5x5y-6)(2x-1y) 10)

A) -10x6

y7B) -3x4

y5C) -10x4

y5D) -10x4y7

11) 21x13y13

7x12y-1011)

A) 3xy3 B) 3x25y23 C) 3xy23 D) 21xy23

Topic #3: Rational Exponents and Radicals

Evaluate the expression :12) 144 + 25 12)

A) 13 B) 169 C) 17 D) 119

Add or subtract terms whenever possible.13) 5 2 + 5 50 13)

A) 10 2 B) 30 2 C) -30 2 D) 20 2

14) 2x + 6 8x - 2 32x 14)A) 5 42x B) 4 42x C) 5 2x D) 4 2x

Rationalize the denominator.

15) 37 - 2

15)

A) 21 + 3 25

B) 37

-32

C) 21 - 3 247

D) 21 + 3 247

Simplify the radical expression.

16)3

x8 16)

A) x23

x B) x3

x C) x23

x2 D) x3

x2

2

Evaluate the expressions :17) 161/4 17)

A) 8 B) 16 C) 32 D) 2

18) 49-3/2 18)

A) 1343

B) -343 C) 343 D) -1

343

Simplify by reducing the index of the radical.

19)20

x16 19)

A)4

x4 B)5

x C)5

x4 D)4

x

20)8

16x4 20)

A) 2 2x B) 14x

C)4

2x D) 2x

Topic #4: Factoring

Factor out the greatest common factor.21) 21x4 - 6x3 + 15x2 21)

A) 3(7x4 - 2x3 + 5x2) B) x2(21x2 - 6x + 15)C) 3x(7x3 - 2x2 + 5x) D) 3x2(7x2 - 2x + 5)

Factor by grouping.22) x3 + 9x - 3x2 - 27 22)

A) (x - 3)(x2 + 9) B) (x - 3)(x + 9) C) (x - 3)(x2 - 9) D) (x + 3)(x2 + 9)

Factor the trinomial, or state that the trinomial is prime.23) x2 - 12x + 27 23)

A) (x + 9)(x - 3) B) (x + 9)(x + 1) C) (x - 9)(x - 3) D) prime

24) 6x2 + 13x + 6 24)A) (6x + 2)(x + 3) B) (3x - 2)(2x - 3) C) (3x + 2)(2x + 3) D) prime

Factor the difference of two squares.25) 49x2 - 16y2 25)

A) (7x + 4y)2 B) (7x + 4y)(7x - 4y)C) (7x - 4y)2 D) prime

3

Factor using the formula for the sum or difference of two cubes.26) 64x3 - 1 26)

A) (4x + 1)(16x2 - 4x + 1) B) (4x - 1)(16x2 + 4x + 1)C) (4x - 1)(16x2 + 1) D) prime

27) 125x3 + 1 27)A) (5x - 1)(25x2 + 1) B) (5x + 1)(25x2 - 5x + 1)C) (5x - 1)(25x2 + 5x + 1) D) prime

Topic #5: Rational Expressions

Perform the indicated operations and simplify the result. Leave the answer in factored form.

28) 4x - 4x

·8x2

5x - 528)

A) 20x2 + 40x + 208x3

B) 32x3 - 32x2

5x2 - 5xC) 5

32xD) 32x

5

29) x2 - 10x + 24x2 - 21x + 108

·x2 - 14x + 24x2 - 16x + 60

29)

A) (x - 4)(x - 2)(x - 9)(x - 10)

B) (x + 4)(x + 2)(x + 9)(x + 10)

C) (x2 - 10x + 24)(x2 - 14x + 24)(x2 - 21x + 108)(x2 - 16x + 60)

D) (x - 4)(x - 10)

Add or subtract as indicated.

30) 4x2 - 3x + 2

+5

x2 - 130)

A) 6x - 9(x - 1)(x + 1)(x - 2)

B) 9x - 6(x - 1)(x - 2)

C) 9x - 6(x - 1)(x + 1)(x - 2)

D) 40x - 6(x - 1)(x + 1)(x - 2)

31) xx2 - 16

-5

x2 + 5x + 431)

A) x2 - 4(x - 4)(x + 4)(x + 1)

B) x2 + 4x + 20(x - 4)(x + 4)(x + 1)

C) x2 - 4x + 20(x - 4)(x + 4)(x + 1)

D) x2 - 4x + 20(x - 4)(x + 4)

4

Topic #6: Complex Numbers

Add or subtract as indicated and write the result in standard form.32) -7 - (- 2 - 7i) - (- 2 + 5i) 32)

A) 4 - 2i B) -3 - 2i C) -3 + 2i D) 4 + 2i

Find the product and write the result in standard form.33) (-3 - 7i)(2 + i) 33)

A) 1 - 17i B) 1 + 11i C) -13 + 11i D) -13 - 17i

Divide and express the result in standard form.

34) 84 + i

34)

A) 3215

+815

i B) 3217

-817

i C) 3215

-815

i D) 3217

+817

i

35) 6 - 6i8 + 2i

35)

A) 6017

+3617

i B) 1 -14

i C) 320

-14

i D) 917

-1517

i

Perform the indicated operations and write the result in standard form.36) -16 + -81 36)

A) 36i B) -13i C) -13 D) 13i

37) -2 - -242

37)

A) -1 - i 2 B) 1 + i 6 C) -1 + i 6 D) -1 - i 6

Topic #7: Linear, Rational, Radical, Absolute Value, and Literal Equations

Solve and check the linear equations.38) (-5x + 4) - 5 = -4(x - 7) 38)

A) {19} B) {- 29} C) {- 6} D) {29}

39) 2x5

=x3

+ 5 39)

A) {-75} B) {150} C) {75} D) {-150}

First, write the value(s) that make the denominator(s) zero. Then solve the equation.

40) 10x

=52x

+ 30 40)

A) x 0, 2; 256

B) x 0; 14

C) No restrictions; {2} D) x 0; {4}

5

Solve the absolute value equation or indicate that the equation has no solution.41) 3 x - 3 = 18 41)

A) {3, -9} B) {9, -3} C) {3} D)

Solve the radical equation, and check all proposed solutions.42) 6x + 55 = x 42)

A) - 11 B) C) {11} D) {-5, 11}

Solve the formula for the specified variable.

43) F = 95

C + 32 for C 43)

A) C = 5F - 32

B) C = F - 329

C) C = 95

(F - 32) D) C = 59

(F - 32)

44) A = 12

bh for b 44)

A) b =h

2AB) b =

2Ah

C) b =A2h

D) b =Ah2

45) S = 2 rh + 2 r2 for h 45)

A) h = S2 r

- 1 B) h = S - r C) h = 2 (S - r) D) h = S - 2 r22 r

46) P = 2L + 2W for W 46)

A) W =P - L

2B) W =

P - 2L2

C) W = P - L D) W = d - 2L

6

Topic #8: Linear, Compound, and Absolute Value Inequalities

Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution seton a number line.

47) 7x - 6 6x - 2 47)

A) [4, )

B) (-8, )

C) (- , 4]

D) (- , 4)

48) -8x + 4 -2(3x + 1) 48)

A) [3, )

B) (- , 3)

C) (3, )

D) (- , 3]

7

Solve the compound inequality. Other than , use interval notation to express the solution set and graph thesolution set on a number line.

49) 17 5x - 3 22 49)

A) (4, 5)

B) (-5, -4)

C) [4, 5]

D) [-5, -4]

Solve the absolute value inequality. Other than , use interval notation to express the solution set and graph thesolution set on a number line.

50) |x + 2| + 6 11 50)

A) [-7, 11]

B) (-7, 3)

C) [-7, 3]

D) (- , -7] [3, )

8

51) |7x - 9| - 3 > -6 51)

A) (- , )

B) 67

, 127

C) 67

,

D)

52) |5x - 8| - 9 < -14 52)

A) 35

, 135

B) - , 35

C) - , 135

D)

Topic #9: Distance and Midpoint Formulas; Circles

Find the distance between the pair of points.53) (-1, 4) and (-5, 7) 53)

A) 6 B) 25 C) 10 D) 5

9

Find the midpoint of the line segment whose end points are given.54) (7, 3) and (4, 1) 54)

A) (11, 4) B) (3, 2) C) ( 112

, 2) D) ( 32

, 1)

Write the standard form of the equation of the circle with the given center and radius.55) (-4, 4); 3 55)

A) (x - 4)2 + (y + 4)2 = 9 B) (x + 4)2 + (y - 4)2 = 9C) (x + 4)2 + (y - 4)2 = 3 D) (x - 4)2 + (y + 4)2 = 3

Find the center and the radius of the circle.56) (x - 5)2 + (y + 7)2 = 36 56)

A) (-5, 7), r = 36 B) (7, -5), r = 36 C) (-7, 5), r = 6 D) (5, -7), r = 6

Complete the square and write the equation in standard form. Then give the center and radius of the circle.57) x2 - 12x + 36 + y2 - 8y + 16 = 16 57)

A) (x - 6)2 + (y - 4)2 = 16(6, 4), r = 4

B) (x - 6)2 + (y - 4)2 = 16(-6, -4), r = 16

C) (x - 4)2 + (y - 6)2 = 16(-4, -6), r = 16

D) (x - 4)2 + (y - 6)2 = 16(4, 6), r = 4

Graph the equation.58) (x - 1)2 + (y - 2)2 = 49 58)

A)

Domain = (-6, 8), Range = (-5, 9)

B)

Domain = (-8, 6), Range = (-9, 5)

10

Topic #10: Basics of Functions and Their Graphs

Determine whether the relation is a function.59) {(-7, -1), (-7, 2), (-1, 8), (3, 3), (10, -7)} 59)

A) Not a function B) Function

Evaluate the function at the given value of the independent variable and simplify.60) f(x) = -3x - 8; f(-2) 60)

A) 22 B) -2 C) 14 D) -11

61) f(x) = x + 11; f(-2) 61)A) -3 B) 3C) 1.73 D) not a real number

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.62) 62)

A) function B) not a function

63) 63)

A) not a function B) function

11

64) 64)

A) function B) not a function

Use the graph to find the indicated function value.65) y = f(x). Find f(-1) 65)

A) -0.2 B) -4.2 C) 4.2 D) 0.2

12

Use the graph to determine the function's domain and range.66) 66)

A) domain: (- , )range: [-4, )

B) domain: (- , )range: (- , )

C) domain: [-1, )range: [-4, )

D) domain: (- , -1) or (-1, )range: (- , -4) or (-4, )

67) 67)

A) domain: [0, )range: [0, )

B) domain: [0, )range: (- , )

C) domain: [0, )range: [-1, )

D) domain: (- , )range: [-1, )

13

Identify the intervals where the function is changing as requested.68) Increasing 68)

A) (-3, 3) B) (-3, ) C) (-2, ) D) (-2, 2)

69) Constant 69)

A) (-1, 1) B) (2, ) C) (-2, -1) D) (1, 2)

Evaluate the piecewise function at the given value of the independent variable.

70) f(x) = 3x + 1 if x < -1-2x - 5 if x -1

; f(2) 70)

A) -8 B) -9 C) 1 D) -3

Determine whether the given function is even, odd, or neither.71) f(x) = x3 - 5x 71)

A) Neither B) Even C) Odd

72) f(x) = 2x2 + x4 72)A) Odd B) Neither C) Even

73) f(x) = x3 - x2 73)A) Neither B) Odd C) Even

14

Topic #11: Slope and Linear Functions

Find the slope of the line that goes through the given points.74) (-2, -6), (-9, -17) 74)

A) 117

B) -117

C) 711

D) 2311

Use the given conditions to write an equation for the line in point-slope form.75) Slope = 4, passing through (-3, 7) 75)

A) x - 7 = 4(y + 3) B) y = 4x + 19 C) y + 7 = 4(x - 3) D) y - 7 = 4(x + 3)

Use the given conditions to write an equation for the line in slope-intercept form.

76) Slope = 23

, passing through (7, 3) 76)

A) y = 23

x + 7 B) y = 23

x - 53

C) y = mx - 53

D) y = 23

x + 53

77) Passing through (-8, -2) and (-5, -7) 77)

A) y = -53

x - 463

B) y + 2 = -53

(x + 8)

C) y = mx - 463

D) y = 53

x - 463

15

Graph the line whose equation is given.78) y = 2x - 2 78)

A) B)

C) D)

Determine the slope and the y-intercept of the graph of the equation.79) 7x - 10y - 70 = 0 79)

A) m = 107

; (0, 10) B) m = 7; (0, 70) C) m = 710

; (0, -7) D) m = -710

; (0, 7)

Use the given conditions to write an equation for the line in the indicated form.80) Passing through (2, 3) and parallel to the line whose equation is y = -2x + 3 ;

point-slope form80)

A) y - 2 = -2(x - 3) B) y - 3 = -2(x - 2)C) y = 2x D) y - 3 = x - 2

16

81) Passing through (5, 3) and perpendicular to the line whose equation is y = 2x + 7;point-slope form

81)

A) y - 3 =12

(x + 5) B) y - 3 = -12

(x - 5)

C) y - 5 =12

(x - 3) D) y = - 2x - 11

Find the average rate of change of the function from x1 to x2.

82) f(x) = -3x2 - x from x1 = 5 to x2 = 6 82)

A) -16

B) -34 C) -2 D) 12

Find and simplify the difference quotient of f, f(x + h) - f(x)h

, h 0, for the function.

83) f(x) = 4x2 83)

A) 4 B) 4(2x2 + 2xh + h2)h

C) 4(2x+h) D) 8h

+ x + 4h

17

Topic #12: Transformations of Graphs

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph thegiven function.

84) h(x) = (x - 7)2 - 5 84)

A) B)

C) D)

18

Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.85) g(x) = -f(x - 1) + 2

y = f(x)

85)

A) B)

C) D)

Topic #13: Algebra of Functions, Function Composition, and Inverse Functions

Given functions f and g, perform the indicated operations.86) f(x) = 3 - 5x, g(x) = -8x + 5

Find f + g.86)

A) -5x B) 3x + 8 C) -8x + 3 D) -13x + 8

For the given functions f and g , find the indicated composition.87) f(x) = 3x + 9, g(x) = 5x - 1

(f g)(x)87)

A) 15x + 8 B) 15x + 44 C) 15x + 6 D) 15x + 12

19

88) f(x) = x2 + 2x + 2, g(x) = x2 - 2x - 3(f g)(-3)

88)

A) 51 B) 136 C) 170 D) 17

The function f is one-to-one. Find its inverse.89) f(x) = 3x - 7 89)

A) f-1(x) = x + 73

B) f-1(x) = x3

- 7 C) f-1(x) = x3

+ 7 D) f-1(x) = x - 73

90) f(x) = x + 7 90)A) f-1(x) = x2 + 7, x 0 B) f-1(x) = (x + 7)2

C) f-1(x) = x2 - 7, x 0 D) f-1(x) = x - 7

91) f(x) = 3x - 78x + 4

91)

A) f-1(x) = -4x - 78x - 3

B) f-1(x) = 3x - 78x + 4

C) f-1(x) = 8x - 3-4x - 7

D) f-1(x) = 3x + 38x + 4

Topic #14: Quadratic Equations and Quadratic Functions

Solve the equation by factoring.92) x2 = x + 6 92)

A) {-2, 3} B) {1, 6} C) {-2, -3} D) {2, 3}

Solve the equation by factoring.93) x2 + 2x - 120 = 0 93)

A) {12, -10} B) {-12, 1} C) {12, 10} D) {-12, 10}

Solve the equation by the square root property.94) 6x2 = 54 94)

A) {-3 6, 3 6} B) {-6, 6} C) {-3, 3} D) {0}

95) (x - 3)2 = 49 95)A) {52} B) {-10, -4} C) {-7, 7} D) {-4, 10}

Solve the equation by completing the square.96) x2 + 14x + 26 = 0 96)

A) {-7 - 23 , -7 + 23} B) {7 - 26 , 7 + 26}C) {-14 + 26} D) {7 + 23}

20

Solve the equation using the quadratic formula.97) x2 + 7x + 7 = 0 97)

A) -7 - 2114

, -7 + 2114

B) -7 - 212

, -7 + 212

C) -7 - 772

, -7 + 772

D) 7 - 212

, 7 + 212

98) 5x2 - 3x + 3 = 0 98)

A) 3 ± i 5110

B) -3 ± 5110

C) -3 ± i 5110

D) 3 ± 5110

The graph of a quadratic function is given. Determine the function's equation.99) 99)

A) h(x) = (x - 2)2 + 2 B) g(x) = (x + 2)2 - 2C) j(x) = (x - 2)2 - 2 D) f(x) = (x + 2)2 + 2

100) 100)

A) f(x) = -x2 - 2x - 1 B) g(x) = -x2 + 2x + 1C) j(x) = -x2 + 1 D) h(x) = -x2 - 1

Find the coordinates of the vertex for the parabola defined by the given quadratic function.101) f(x) = (x - 4)2 - 4 101)

A) (0, -4) B) (4, 4) C) (4, -4) D) (-4, 0)

21

102) y + 4 = (x - 2)2 102)A) (2, - 4) B) (- 2, - 4) C) (4, - 2) D) (4, 2)

Find the axis of symmetry of the parabola defined by the given quadratic function.103) f(x) = x2 + 7 103)

A) x = -7 B) x = 7 C) x = 0 D) y = 7

104) f(x) = (x + 4)2 - 6 104)A) x = 6 B) x = -6 C) x = -4 D) x = 4

Topic #15: Introduction to Polynomial and Rational Functions

Form a polynomial whose zeros and degree are given.105) Zeros: -3, -2, 2; degree 3 105)

A) f(x) = x3 - 3x2 + 4x - 12 for a = 1 B) f(x) = x3 + 3x2 + 4x + 12 for a = 1C) f(x) = x3 - 3x2 - 4x + 12 for a = 1 D) f(x) = x3 + 3x2 - 4x - 12 for a = 1

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches thex-axis at each x -intercept.

106) f(x) = 5(x + 3)(x - 3)3 106)A) -3, multiplicity 1, crosses x-axis; 3, multiplicity 3, crosses x-axisB) 3, multiplicity 1, touches x-axis; -3, multiplicity 3C) 3, multiplicity 1, crosses x-axis; -3, multiplicity 3, crosses x-axisD) -3, multiplicity 1, touches x-axis; 3, multiplicity 3

107) f(x) = 2(x2 + 4)(x + 1)2 107)A) -1, multiplicity 2, touches x-axisB) -1, multiplicity 2, crosses x-axisC) -4, multiplicity 1, crosses x-axis; -1, multiplicity 2, touches x-axisD) -4, multiplicity 1, touches x-axis; -1, multiplicity 2, crosses x-axis

Find the x- and y-intercepts of f.108) f(x) = (x + 4)(x - 2)(x + 2) 108)

A) x-intercepts: -4, -2, 2; y-intercept: -16 B) x-intercepts: -2, 2, 4; y-intercept: -16C) x-intercepts: -4, -2, 2; y-intercept: 16 D) x-intercepts: -2, 2, 4; y-intercept: 16

109) f(x) = 4x - x3 109)A) x-intercepts: 0, -4; y-intercept: 0 B) x-intercepts: 0, 2, -2; y-intercept: 0C) x-intercepts: 0, 2, -2; y-intercept: 4 D) x-intercepts: 0, -4; y-intercept: 4

List the potential rational zeros of the polynomial function. Do not find the zeros.110) f(x) = 6x4 + 2x3 - 3x2 + 2 110)

A) ±16

, ± 13

, ± 12

, ± 23

, ± 1, ± 2, ± 3 B) ±16

, ± 13

, ± 12

, ± 1, ± 2

C) ±16

, ± 13

, ± 12

, ± 23

, ± 1, ± 2 D) ±12

, ± 32

, ± 1, ± 2, ± 3, ± 6

22

Use the Remainder Theorem to find the remainder when f(x) is divided by x - c.111) f(x) = x4 + 8x3 + 12x2; x + 1 111)

A) R = 21 B) R = -21 C) R = -5 D) R = 5

Form a polynomial f(x) with real coefficients having the given degree and zeros.112) Degree 3: zeros: 1 + i and -5 112)

A) f(x) = x3 + x2 - 8x + 10 B) f(x) = x3 -5x2 - 8x - 12C) f(x) = x3 + 3x2 - 8x + 10 D) f(x) = x3 + 3x2 + 10x - 8

Use the given zero to find the remaining zeros of the function.113) f(x) = x4 - 21x2 - 100; zero: -2i 113)

A) 2i, 5i, -5i B) 2i, 10, -10 C) 2i, 10i, -10i D) 2i, 5, -5

Divide using synthetic division.

114) x4 - 3x3 + x2 + 4x - 5x - 1

114)

A) x3 + 2x2 - x + 5 -2

x - 1B) x3 - 2x2 + x + 3 +

4x - 1

C) x3 - 2x2 + x + 5 +4

x - 1D) x3 - 2x2 - x + 3 -

2x - 1

Use the Leading Coefficient Test to determine the end behavior of the polynomial function.115) f(x) = 3x4 + 4x3 - 4x2 + 3x - 2 115)

A) rises to the left and rises to the right B) falls to the left and rises to the rightC) falls to the left and falls to the right D) rises to the left and falls to the right

116) f(x) = 2x3 + 5x2 + 5x + 5 116)A) falls to the left and rises to the right B) falls to the left and falls to the rightC) rises to the left and falls to the right D) rises to the left and rises to the right

Find the domain of the rational function.

117) g(x) = 2xx + 2

117)

A) {x|x -2} B) all real numbersC) {x|x 2} D) {x|x 0}

118) f(x) = x + 7x2 - 9

118)

A) {x|x -3, x 3, x -7} B) all real numbersC) {x|x -3, x 3} D) {x|x 0, x 9}

119) f(x) = x + 2x2 + 16x

119)

A) {x|x 0, x -16} B) {x|x -4, x 4, x -2}C) {x|x -4, x 4} D) all real numbers

23

Find the vertical asymptotes of the rational function.

120) h(x) = 4x2(x + 2)(x - 6)

120)

A) x = -2, x = 6 B) x = -2, x = 6, x = -4C) x = 2, x = -6 D) x = -4

121) g(x) = x + 4x2 + 4

121)

A) x = -2, x = 2, x = -4 B) noneC) x = -2, x = -4 D) x = -2, x = 2

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Answer KeyTestname: MAT105_FINAL EXAM_REVIEW 121

1) A2) A3) D4) A5) A6) A7) C8) C9) B

10) C11) C12) C13) B14) C15) D16) C17) D18) A19) C20) D21) D22) A23) C24) C25) B26) B27) B28) D29) A30) C31) C32) C33) A34) B35) D36) D37) D38) B39) C40) B41) B42) C43) D44) B45) D46) B47) A48) A

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Answer KeyTestname: MAT105_FINAL EXAM_REVIEW 121

49) C50) C51) A52) D53) D54) C55) B56) D57) A58) A59) A60) B61) B62) B63) A64) A65) C66) A67) C68) D69) A70) B71) C72) C73) A74) A75) D76) B77) A78) D79) C80) B81) B82) B83) C84) B85) D86) D87) C88) C89) A90) C91) A92) A93) D94) C95) D96) A

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Answer KeyTestname: MAT105_FINAL EXAM_REVIEW 121

97) B98) A99) D

100) C101) C102) A103) C104) C105) D106) A107) A108) A109) B110) C111) D112) C113) D114) D115) A116) A117) A118) C119) A120) A121) B

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