Free Printable EOC Practice 1

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

35 cm

b)

43

c)

75

d)

19

4.

a)

3√7⋅100

b)

30√10

c)

30√7

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

a)

A horizontal shift to the right 7.5 units

b)

A horizontal shift to the left 7.5 units

c)

A vertical shift down 56.25 units

d)

A vertical shift up 56.25 units

8.

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

a)

n= 4(1/2)^h

b)

n= 4(2)^h

c)

n= 4+ (2)^h

d)

n= 4 + (1/2)^h

9.

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

10.

If p(x) = 5(x² + 1) + 16, what is the value of p(11)?

a)

690

b)

736

c)

622

d)

626

11.

Which expression is equivalent to (7x³)² (x⁸)^1/2?

a)

14x¹⁰

b)

49x¹⁰

c)

14x⁷

d)

49x⁷

12.

Which expression is equivalent to √147?

a)

3√7

b)

7√3

c)

21√7

d)

49√3

13.

Which graph best represents the solution set of y ≤ -4x?

a)

b)

c)

d)

14.

Which dashed line is an asymptote for the graph?

a)

line q

b)

line r

c)

line s

d)

line t

15.

The set of all x-values of a function.

a)

Domain

b)

Range

c)

x-axis

d)

y-axis

16.

When the vertex of a parabola is at its highest point it is called _________.

a)

Minimum

b)

Maximum

c)

Intersection

d)

y-intercept

17.

y=mx+b is called ____________ .

a)

Slope Intercept Form

b)

Point Slope Form

c)

Standard Form

d)

Quadratic Function

18.

Rate of change also means

a)

Slope

b)

y-intercept

c)

Zerox-s

d)

Direct Variation

19.

What type of function is this: y = a(b)^x

a)

Linear

b)

Quadratic

c)

Exponential

d)

Rational

20.

State whether the equation represents exponential growth, exponential decay,

or neither.

f (x) = 5 • 0.3^x

a)

Exponential growth since b > 1

b)

neither

c)

Exponential Decay since 0< b<1.

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

e)

E

25.

a)

A

b)

B

c)

C

d)

D

e)

E

26.

a)

A

b)

B

c)

C

d)

D

27.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

28.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

29.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

30.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

31.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

32.

Which Graph is Linear?

a)

1st

b)

2nd
2nd

c)

3rd

d)

None

33.

Which Graph has a slope of zero?

a)

Red

b)

Blue

c)

Neither

34.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

35.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

36.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

37.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

38.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

39.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

40.

Find the slope of the line through each pair of points.

(8, 4) and (2, 6).

a)

$m\ =\ -\frac{1}{\ 3\ }$

b)

$m\ =\ \frac{\ 1\ }{\ 3\ }$

c)

m = 1

d)

m = -1

41.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

m = 0

c)

m = - 14/10

d)

m = 10/14

42.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

43.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

44.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

45.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

46.

Write an equation in slope-intercept form that goes through the points (-3, -4) and (3, 4)

a)

y = 3/4x + 4

b)

y = 3/4x

c)

y = 4/3x

d)

y = 4/3x + 4

47.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

48.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

49.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)

b)

c)

d)

50.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)

b)

c)

d)

51.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

52.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

53.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

54.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

55.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

56.

y = 5/7x +2

y = 5/7x - 30

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

57.

$y=7x+2\ \ and\ y=7x-1$

a)

perpendicular

b)

parallel

c)

neither

58.

$y=\frac{4}{5}x+2\ \ and\ y=\frac{-5}{4}x-1$

a)

perpendicular

b)

parallel

c)

neither

59.

$y=\frac{-1}{3}x+2\ \ and\ y=\frac{1}{3}x-1$

a)

perpendicular

b)

parallel

c)

neither

60.

$5x-y=4\ \ and\ y=\frac{-1}{5}x+7$

a)

perpendicular

b)

parallel

c)

neither

61.

$3x-y=2\ \ and\ \ 12x-4y=4$

a)

perpendicular

b)

parallel

c)

neither

62.

$x=2\ \ and\ \ y=3$

a)

perpendicular

b)

parallel

c)

neither

63.

Given y=3x+8 write a new line that is parallel through the point (-4,6)

a)

y=3x+18

b)

y=-3x+18

c)

y=-1/3x+18

64.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

65.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

66.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

67.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

68.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

a)

45 minutes

b)

90 minutes
2x + 4y = 315

c)

60 minutes
3x + 4y = 450

d)

30 minutes

69.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

70.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

71.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

a)

d + n = 6.60
.10d + .05n = 80

b)

d + n = 80
d + n = 6.60

c)

d + n = 80
.10d + .05n = 6.60

d)

d + n = 80
.05d + .10n = 6.60

72.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38

2s + 3c = 52

b)

3s + 1c = 38

3s + 2c = 52

c)

s + c = 38

s + c = 52

d)

3s + 3c = 38

1s + 2c = 52

73.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

74.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

75.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

76.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

77.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

78.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

79.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

80.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

81.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

82.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

83.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

84.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

85.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

86.

Which direction will this parabola open?

y=2x^2+8x-16

a)

upwards

b)

downwards

87.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

88.

What is the equation for the axis of symmetry?

a)

x=0

b)

x=2

c)

x=-4

d)

y=0

89.

What is the equation for the axis of symmetry?

a)

x=-1

b)

x=8

c)

x=0

d)

y=-1

90.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

91.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

92.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

93.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

94.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

95.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

96.

What is the DOMAIN of this graph?

a)

-7≤x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

97.

What is the Domain?

a)

y ≥ 6

b)

$-\infty<x<\infty$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

98.

What is the RANGE of this graph?

a)

y < -3

b)

y ≤ -3

c)

y > 1

d)

y ≥ 1

99.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

100.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

101.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

102.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Above

103.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

104.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

105.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

106.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

107.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1 + .08)^x

c)

y=15,000(1 - .08)^x

d)

y=15,000(0.08)^x

108.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

109.

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

a)

y= 6500(1+.14)^x

b)

y= 6500(1-.14)^x

c)

y= 6500(14)^x

d)

y= 14(6500)^x

110.

What is the exponential factor of the following graph?

a)

Growth

b)

Deccay

c)

Linear

d)

None

111.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

112.

What is the equation of the horizontal asymptote of the given function?

a)

y = 2

b)

x = 1

c)

There isn't one

d)

y = 5

113.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

EOC Practice 1

Total questions: 113

Worksheet time: 19hrs 50mins

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