Free Printable Math 3 EOC REVIEW

1.

Reese is solving the equation $\log_{2x}291=8$ . Which exponential equation can she use to solve the problem?

a)

$2x^{291}=8$

b)

$8^{291}=2x$

c)

$291^8=2x$

d)

$2x^8=291$

2.

$\frac{a^2-11a+18}{72+a-a^2}$

Simplify.

a)

$\frac{-8-a}{a-2}$

b)

$\frac{4a}{5}$

c)

$\frac{-a+2}{8+a}$

d)

$\frac{\left(a-2\right)}{2}$ D

3.

What is the inverse of $y=\frac{\left(2x+4\right)}{8}$

a)

(-2x+4)/8

b)

(8x-4)/2

c)

(2x-4)/8

d)

(8x+4)/2

4.

Which interval is decreasing? (2 answers)

a)

0 < x < 2

b)

x > -2

c)

4 < x < 6

d)

x > 8

5.

A polynomial, f(x), has a lead coefficient of 1 and exactly two distinct zeros. What choice shows f(x) from the zeros above?

a)

b)

c)

d)

6.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

7.

One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.

a)

Observational Study

b)

Experiment

8.

Describe the cross section.

a)

rectangle

b)

trapezoid

c)

oval

d)

parallelogram

9.

A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?

a)

b)

c)

d)

10.

Simplify

a)

$\frac{x+9}{x-9}$

b)

$\frac{1}{(x-9)}$

c)

$x-9$

d)

$\frac{1}{(x+9)}$

e)

$x+9$

11.

How many zeros does this polynomial have?

a)

0

b)

2

c)

3

d)

5

12.

Which expression is equivalent to $\left(2x^2-4x+7\right)\div\left(x^2-3x-20\right)$

a)

$2-\frac{2x+47}{x^2-3x-20}$

b)

$2\ +\frac{2x+47}{x^2-3x-20}$

c)

$1+\frac{-10x-33}{x^2-3x-20}$

d)

$2+\frac{-10x-33}{x^2-3x-20}$

13.

$f\left(x\right)=x^5-3x^4-12x^3+36x^2-64x+192$

What are the real zeros of this function?

a)

1,4,-4

b)

-3,4,-4

c)

3,4,-4

d)

2i,-2i,4,-4,3

14.

Is (x-4) a factor of (x³ +x² -16x-16)?

a)

YES

b)

NO

15.

What is the remainder when $x^5-2$ is divided by (x+1)?

a)

30

b)

1

c)

-3

d)

-1

16.

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

a)

-13

b)

10

c)

13

d)

-10

17.

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

18.

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

a)

6

b)

14

c)

98

d)

196

19.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

20.

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)

21.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

22.

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

23.

Identify a possible equation.

a)

$g\left(x\right)=\left(x+3\right)\left(x+1\right)\left(x+5\right)$

b)

$g\left(x\right)=\left(x-3\right)\left(x-1\right)\left(x-5\right)$

c)

$g\left(x\right)=\left(x-3\right)\left(x-1\right)\left(x+5\right)$

d)

$g\left(x\right)=\left(x+3\right)\left(x+1\right)\left(x-5\right)$

24.

Select the graph of $y=\left(x+4\right)\left(x+2\right)\left(x-7\right)$

a)

b)

25.

$3^x-5=27$

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

a)

2.813

b)

3.155

c)

2.814

d)

3.154

26.

What is the inverse of $y=\frac{\left(2x+4\right)}{8}$

a)

(-2x+4)/8

b)

(8x-4)/2

c)

(2x-4)/8

d)

(8x+4)/2

27.

What is the RANGE of the function: f(x) = -|x + 3| + 2

(Hint: graph it!)

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ -3

d)

y ≥ -3

28.

Describe how the function $y=2^x$ is transformed to make $y=2^{\left(x-5\right)}+3$

a)

Translated left 5 and down 3

b)

Translated right 5 and down 3

c)

Translated left 5 and up 3

d)

Translated right 5 and up 3

29.

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

a)

30

b)

330

c)

210

d)

120

30.

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

a)

$f\left(x\right)=2^x+3$

b)

$f\left(x\right)=\frac{\left(x+1\right)}{x-5}$

c)

$f\left(x\right)=\left|3x+4\right|$

d)

$f\left(x\right)=-\sin\left(x\right)+1$

31.

Which interval is decreasing? (2 answers)

a)

0 < x < 2

b)

x > -2

c)

4 < x < 6

d)

x > 8

32.

A polynomial, f(x), has a lead coefficient of 1 and exactly two distinct zeros. What choice shows f(x) from the zeros above?

a)

b)

c)

d)

33.

A function is shown above. What is the value of f(4) + f(7)?

a)

8

b)

-1

c)

9

d)

3

34.

Which expression is equivalent to $4t^2-16$ ?

a)

4(t − 4)(t – 4)

b)

4(t + 4)(t – 4)

c)

4(t + 2)(t − 2)

d)

4(t − 2)(t − 2)

35.

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

36.

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

37.

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

38.

Name the part shown in the given circle.

a)

Segment

b)

Sector

c)

Diameter

d)

Radius

39.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

40.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

41.

a)

A

b)

B

c)

C

d)

D

42.

In the diagram, a tangent and segment intersect the circle. Find x.

a)

9

b)

10

c)

15

d)

14

43.

In the diagram, two segments intersect outside the circle. Solve for x.

a)

6

b)

13

c)

10

d)

9

44.

What is x?

a)

15

b)

23

c)

2

d)

92

45.

Solve for x.

a)

90

b)

12

c)

47

d)

45

46.

BCDE is square. Find m∠BEF

a)

45

b)

90

c)

180

d)

40

47.

Find v.

a)

81

b)

4

c)

27

d)

90

48.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

49.

If JOSE is a rhombus, JO = 3x - 5 and OS = 13 cm. What is the perimeter of JOSE?

a)

6 cm

b)

18 cm

c)

48 cm

d)

52 cm

50.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

51.

Find the solution.

a)

b)

c)

d)

52.

Identify the missing term to complete the solution.

a)

-2

b)

2

c)

-3

d)

3

53.

One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.

a)

Observational Study

b)

Experiment

54.

If the multiplicity of a root is 2, the graph will

a)

be very skinny

b)

be upside down

c)

cross through the root

d)

bounce off the root

55.

What is the amplitude of the graph?

y\ =\ 4\ \sin\ \left(2x\right)\ +\ 3

a)

1

b)

2

c)

3

d)

4

56.

Which rational expression is equivalent?

a)

A

b)

B

c)

C

d)

D

57.

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

58.

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

59.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

60.

Given parallelogram FROG, find the $m\angle R$

(a)

61.

A solid iron statue has a mass of 877.5 g. Iron has a density of $7.8\ \frac{g}{cm^3}$ . Find the volume of the statue.

(a)

62.

What is the horizontal asymptote to this function?

a)

y = 4

b)

y = 0

c)

y = -2

d)

y =1

63.

What is the vertical asymptote?

a)

x = 2

b)

x = 7

c)

x = -2

d)

x = 5

64.

What are the Vertical Asymptotes of...

a)

x = 0, -5

b)

x=0, 5

c)

x = 2, -7

d)

x = -2, 7

65.

What are the asymptotes?

a)

x= -1 y = -3

b)

x=1 y = -3

c)

x= -1 y =3

d)

x=1, y=3

66.

Find the domain of each function.

f\left(x\right)=\frac{3x}{x+3}

a)

$x\ne3$

b)

$x\ne0$

c)

$x\ne-3$

d)

$x\ne\frac{1}{3}$

67.

Identify the LCD.

a)

x²(x - 2)

b)

x(x - 2)

c)

x

d)

(x - 2)

68.

Sally and Dan were able to paint a room in 3 hours together. It takes Dan 4 hours to do this job alone. Without help, how long would it take Sally to do this job ?

a)

11 hous

b)

12.54 hours

c)

12 hours

d)

13 hours

69.

$\log_9\left(r-8\right)\ =\ 2$

a)

55

b)

$\frac{11}{6}$

c)

89

d)

6

70.

Solve for x

a)

5

b)

4/5

c)

1

d)

- 4

Math 3 EOC REVIEW

Total questions: 70

Worksheet time: 4hrs 30mins

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