Free Printable MATH 3 EOC REVIEW 2

1.

If (2x-3y)²=ax²+bxy+cy², what are the values of a, b, and c

a)

a= 4, b= 0, c= 9

b)

a= 4, b= -12, c= 9

c)

a= 4, b= -6, c= 9

d)

a= 9, b= 12, c= 4

2.

Which function has the zeros of 10 and -7

a)

x²+ 3x - 70

b)

x²- 3x - 70

c)

x² + 3

d)

Not enough information

3.

Reduce to lowest terms

a)

A

b)

B

c)

C

d)

D

4.

Which fraction is in simplest form?

a)

A

b)

B

c)

C

d)

D

5.

Which rational expression is equivalent?

a)

A

b)

B

c)

C

d)

D

6.

What is the remainder when 5x³-14x²-8x+5 is divided by x-3

a)

-13

b)

10

c)

13

d)

-10

7.

What will be the remainder when the polynomial p(x) = 7x³-36x²-42x+30 is divided by x-6

a)

-2

b)

-4

c)

-1

d)

-6

8.

When p(x)=x³-3x²-14x-14 is divided by x+2, a student can determine the remainder by evaluating p(-2). What is the value of p(-2)?

a)

p(-2) = -45

b)

p(-2) = -46

c)

p(-2) = -6

d)

p(-2) = 22

9.

The polynomial p(x) = 6x³-22x²-47x+27 is given, which conclusion is valid if p(5) = -8

a)

(x-5) is a factor of p(x)

b)

(x+8) is a factor of p(x)

c)

The remainder of p(x) divided by (x-5) is -8

d)

The remainder of p(x) divided by (x+5) is -8

10.

Solve for x. Round your answer to the nearest thousandth.

a)

2.813

b)

3.155

c)

2.814

d)

3.154

11.

Reese is solving the equation log_2x291 = 8. Which exponential equation can she use to solve the problem?

a)

2x²⁹¹ = 8

b)

8²⁹¹ = 2x

c)

291⁸ = 2x

d)

2x⁸ = 291

12.

What value of x will make the following equation true?

a)

625/16

b)

12.2

c)

32

d)

10

13.

To investigate whether standing up while studying affects performance in an algebra class, a teacher assigns half of the 30 students in his class to stand up while studying and assigns the other half to not stand up while studying. Which of the following best describes this plan?

a)

This is an observational study

b)

This is an experiment

c)

This is a stratified random sample

d)

This is a cluster sample

14.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

15.

What is the center of the circle with equation x² + (y+6)² = 196?

a)

(1, 6)

b)

(1, -6)

c)

(0, 6)

d)

(0, -6)

16.

What is 3f(-1)-f(-4) + 2f(13)?

a)

2

b)

1

c)

-1

d)

4

17.

What is the decay rate in the following model?

A=1200(0.85)^t

a)

85%

b)

15%

c)

10%

d)

5%

18.

Given the funtions $g\left(x\right)=\frac{2x+4}{x^2-6x}$ and $h\left(x\right)=\ \frac{x^2-36}{4x+8}$ , what is the result when $h\left(x\right)\cdot g\left(x\right)$ ?

a)

$\frac{2x}{x+6}$

b)

$\frac{x+6}{2x}$

c)

$\frac{x+3}{x}$

d)

$\frac{x}{x+3}$

19.

Given $r\left(x\right)=\frac{x^2-16}{x^2-10x+25}$ and $t\left(x\right)=\frac{3x-12}{x^2-3x-10}$ , What is the result for $\frac{r\left(x\right)}{t\left(x\right)}?$

a)

$\frac{3x-15}{x^2+6x+8}$

b)

$\frac{x^2+6x+8}{3x-15}$

c)

$\frac{\left(x+4\right)\left(x-2\right)}{3x-15}$

d)

$\frac{\left(x^2-6x-8\right)}{3x-15}$

20.

The volume of a sphere is $288\pi\ in^3$ . Find the radius of the sphere.

a)

r = 4in

b)

r = 5in

c)

r = 6in

d)

r = 7in

21.

Select the 2D object that can be rotated to form the 3D object shown.

a)

b)

c)

d)

22.

Remember a horizontal asympote is the value in which the graph does not rise above or below as x aproaches infinity. Find the horizontal asymptote. Hint what is the y-value when x=100... use desmos

a)

y = -2

b)

none

c)

y = 0

d)

y = 1/2

23.

What is the inverse of the quadratic $t\left(x\right)=3x^2-12x\ +4$ such that the domain is restricted $x\ge2$ ?

a)

$t^{-1}\left(x\right)=-\sqrt{\frac{x-8}{3}}+2$

b)

$t^{-1}\left(x\right)=\sqrt{\frac{x-8}{3}}+2$

c)

$t^{-1}\left(x\right)=-\sqrt{\frac{x+8}{3}}+2$

d)

$t^{-1}\left(x\right)=\sqrt{\frac{x+8}{3}}+2$

24.

What is the remainder when x³-1 divided by (x+2)?

a)

7

b)

-9

c)

-7

d)

24

25.

The graph of an equation is shown.

a)

y=|x|-2

b)

y=|2x|-2

c)

y=|x-2|

d)

y=|2x-2|

26.

What shape is formed if a cylinder is sliced parallel to its base?

a)

square

b)

triangle

c)

rectangle

d)

circle

27.

What are the zeros of the function shown?

a)

{-2, 1, 2}

b)

{-3, 1, 2}

c)

{-4, 2, 5}

d)

{-4, 3, 4}

28.

Which of the following is an asymptote of the graph shown?

a)

y=5

b)

x=1

c)

y=3

d)

x=3

29.

To find the value of f(4) + f(7), how many functions would you type into Desmos?

a)

4

b)

3

c)

2

d)

1

30.

Which type of function does NOT have the set of all real numbers as its domain?

a)

exponential

b)

rational

c)

absolute value

d)

sine

31.

What is the name of the point in a triangle where the medians intersect?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Midpoint

32.

What is the center of the circle with equation x² + (y+6)² = 196?

a)

(1, 6)

b)

(1, -6)

c)

(0, 6)

d)

(0, -6)

33.

A box contains 6 sugar cookies, 2 peanut butter cookies, and 7 chocolate chip cookies. What is the probability of picking a a sugar cookie from the box?

a)

40%

b)

25%

c)

60%

d)

84%

34.

Suppose ten tosses of a coin were all heads. If you switch to a new coin, what is the probability that the next coin toss will result in another head?

a)

1/1024

b)

1/11

c)

1/6

d)

1/2

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

.5

b)

13

c)

14.5

d)

83

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

Which center of triangles is the point of concurrency of the angle bisectors?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

45.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

46.

Which of the following is not a cross section of a cone?

a)

Ellipse

b)

Circle

c)

Triangle

d)

Trapezoid

47.

The pictured right triangle is rotated about its side with length x. Determine the volume of the resulting shape, to the nearest whole number.

a)

30

b)

50

c)

60

d)

150

48.

A square is rotated about one of its sides. Describe the resulting shape.

a)

Cube

b)

Rectangular Prism

c)

Cylinder

d)

Square Pyramid

49.

The president of Whitman College would like to build a statue of Marcus Whitman equidistant from the three residence halls on campus. Where would this statue be built?

a)

Treat the residence halls as sides of a triangle; build it on the incenter

b)

Treat the residence halls as vertices of a triangle; build it on the circumcenter

c)

Treat the residence halls as vertices of a triangle; build it on the centroid

d)

Treat the residence halls as vertices of a triangle; build it on the orthocenter

50.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

51.

Given PC = 3x and YC = 10 - x, find the length of PY.

a)

2.5

b)

4

c)

15

d)

18

52.

Identify all the possible cross sections of a cylinder (you may select more than one answer)

a)

Circle

b)

Rectangle

c)

Square

d)

Ellipse

e)

None of these are correct

53.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

54.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

55.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

.5

b)

13

c)

14.5

d)

83

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

Which center of triangles is the point of concurrency of the angle bisectors?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

65.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

66.

Which of the following is not a cross section of a cone?

a)

Ellipse

b)

Circle

c)

Triangle

d)

Trapezoid

67.

The pictured right triangle is rotated about its side with length x. Determine the volume of the resulting shape, to the nearest whole number.

a)

30

b)

50

c)

60

d)

150

68.

A square is rotated about one of its sides. Describe the resulting shape.

a)

Cube

b)

Rectangular Prism

c)

Cylinder

d)

Square Pyramid

69.

The president of Whitman College would like to build a statue of Marcus Whitman equidistant from the three residence halls on campus. Where would this statue be built?

a)

Treat the residence halls as sides of a triangle; build it on the incenter

b)

Treat the residence halls as vertices of a triangle; build it on the circumcenter

c)

Treat the residence halls as vertices of a triangle; build it on the centroid

d)

Treat the residence halls as vertices of a triangle; build it on the orthocenter

70.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

71.

Given PC = 3x and YC = 10 - x, find the length of PY.

a)

2.5

b)

4

c)

15

d)

18

72.

Identify all the possible cross sections of a cylinder (you may select more than one answer)

a)

Circle

b)

Rectangle

c)

Square

d)

Ellipse

e)

None of these are correct

73.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

74.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

75.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

A

b)

B

c)

C

d)

D

82.

a)

.5

b)

13

c)

14.5

d)

83

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

Which center of triangles is the point of concurrency of the angle bisectors?

a)

Centroid

b)

Circumcenter

c)

Incenter

d)

Orthocenter

86.

A cylinder has a volume of 3400 cm² and a height of 55 cm. Find its radius.

a)

4.44

b)

8.88

c)

19.67

d)

81.82

87.

Which of the following is not a cross section of a cone?

a)

Ellipse

b)

Circle

c)

Triangle

d)

Trapezoid

88.

The pictured right triangle is rotated about its side with length x. Determine the volume of the resulting shape, to the nearest whole number.

a)

30

b)

50

c)

60

d)

150

89.

A square is rotated about one of its sides. Describe the resulting shape.

a)

Cube

b)

Rectangular Prism

c)

Cylinder

d)

Square Pyramid

90.

The president of Whitman College would like to build a statue of Marcus Whitman equidistant from the three residence halls on campus. Where would this statue be built?

a)

Treat the residence halls as sides of a triangle; build it on the incenter

b)

Treat the residence halls as vertices of a triangle; build it on the circumcenter

c)

Treat the residence halls as vertices of a triangle; build it on the centroid

d)

Treat the residence halls as vertices of a triangle; build it on the orthocenter

91.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

92.

Given PC = 3x and YC = 10 - x, find the length of PY.

a)

2.5

b)

4

c)

15

d)

18

93.

Identify all the possible cross sections of a cylinder (you may select more than one answer)

a)

Circle

b)

Rectangle

c)

Square

d)

Ellipse

e)

None of these are correct

94.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

95.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

96.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

97.

Determine the radius of a circle with a central angle of 30 degrees subtended by an arc with a length of 61

a)

2.0

b)

29.5

c)

91.0

d)

116.5

98.

What is the center and radius of (x - 2)² + (y + 10)² = 81

a)

C = (-2, 10); r = 81

b)

C = (-2, 10); r = 9

c)

C = (2, -10); r = 81

d)

C = (2, -10); r = 9

99.

Find the center and radius of 2x² + 4x + 2y² - 6y = 6

a)

C = (-4, 6); r = 6

b)

C = (-2, 3); r = 4

c)

C = (2, -3); r = 2

d)

C = (2, -3); r = 4

100.

Find the measure of angle x

a)

45

b)

50

c)

105

d)

210

101.

Find the area of the shaded region.

a)

125.7 cm²

b)

40 cm²

c)

103.7 cm²

d)

33 cm²

102.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot?

a)

40

b)

35

c)

55

d)

69

103.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

104.

Find the area of the shaded sector

a)

173.42 cm²

b)

212.06 cm²

c)

237.50 cm²

d)

not enough information

105.

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

a)

2.36in

b)

7in

c)

3.53in

106.

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

a)

13π/8 cm

b)

52π/9 cm

c)

π/9 cm

d)

9π/52

107.

Find the area of the shaded region.

a)

125.7 cm²

b)

40 cm²

c)

103.7 cm²

d)

33 cm²

108.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot?

a)

40

b)

35

c)

55

d)

69

109.

A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.

a)

1 sq. ft

b)

13 sq. ft

c)

3 sq. ft

d)

26 sq. ft

110.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

111.

Find the area of the shaded sector

a)

173.42 cm²

b)

212.06 cm²

c)

237.50 cm²

d)

not enough information

112.

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

a)

2.36in

b)

7in

c)

3.53in

113.

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

a)

13π/8 cm

b)

52π/9 cm

c)

π/9 cm

d)

9π/52

114.

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

a)

240 cm²

b)

80 cm²

c)

120 cm²

d)

180 cm²

115.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

116.

A circle with a radius of 12 inches has a central angle which intercepts an arc 8 inches in length. What is the radians measure of the arc?

a)

3/2

b)

2/3

c)

$\frac{2\pi}{3}$

d)

96

117.

LMNO is a parallelogram
solve for X

a)

19

b)

20

c)

33

d)

53

118.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

119.

If PONS is a rectangle, PN = 2x - 5 and OS = 17. Solve for the value of x.

a)

6

b)

11

c)

12

d)

22

120.

Solve for x.

a)

-5

b)

5

c)

2

d)

-2

121.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

122.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

123.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

124.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

125.

Which graph corresponds to
(x-8)²+ (y+2)²=

a)

A

b)

B

c)

C

d)

D

126.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

127.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

128.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

129.

If PONS is a rectangle, PN = 2x - 5 and OS = 17. Solve for the value of x.

a)

6

b)

11

c)

12

d)

22

130.

Solve for x.

a)

-5

b)

5

c)

2

d)

-2

131.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

132.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

133.

Which graph corresponds to
(x-8)²+ (y+2)²=

a)

A

b)

B

c)

C

d)

D

134.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

MATH 3 EOC REVIEW 2

Total questions: 134

Worksheet time: 21hrs 23mins

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