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Final EOC Bootcamp Day

Total questions: 72

Worksheet time: 6hrs 0mins

Name
Class
Date
1.

a)

A

b)

B

c)

C

d)

D

2.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
3.
What is the domain of the function shown below?
a)
-2 < x < 5
b)
0 < x < 12
c)
y > 0
d)
All Real Numbers
4.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
5.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
6.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
7.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
8.

Look at the graph and answer each question.

Is it a growth or decay?

What is the y-intercept?

What is the asymptote?

a)

Growth

y-intercept: (0, 5)

asymptote: y = 0

b)

Decay

y-intercept: (0, 5)

asymptote: y = 0

c)

Growth

y-intercept: (0, 5)

asymptote: y = 5

d)

Decay

y-intercept: (5, 0)

asymptote: x = 0

9.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
10.
What is the equation of the graph shown, and what is the y-intercept?
a)
y = 1⁄3 (3)x ; a = 1⁄3
b)
y = 1⁄3 (3)x ; a = 3
c)
y = 3 (1/3)x ; a = 1⁄3
d)
y = 3 (1/3)x ; a = 3
11.

Which function matches the graph?

a)
b)
c)
d)
12.
a)
-6cd
b)
-6cd3
c)
6cd3
d)
6c3d5
13.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
14.

Simplify √180

a)

3√5

b)

6√5

c)

2√5

d)

9√10

15.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
16.
f(x)=2x+2
f(2)=
a)
6
b)
-8
c)
10
d)
8
17.

Which system of two linear equations in two variables best represents the graph?

a)

y = 3x – 3

y = -2x + 7

b)

y = 2x – 3

y = -3x + 7

c)

y = 2x + 3

y = -3x + 3.5

d)

y = 7x + 3.5

y = x – 3

18.

The length of a rectangle is 7 inches

longer than its width. The perimeter of the

rectangle is 82 inches. Which of the following

systems of equations best describes the

dimensions of the rectangle?

a)

l + w = 7

l + w = 82

b)

l – w = 7

2l + 2w = 82

c)

l + w = 7

2l + 2w = 82

d)

l – w = 7

l + w = 7

19.

A system of equations is graphed. What is the system of linear equations that is shown on the graph?

a)

3x – 5y = 10

x – 4y = 12

b)

3x – 5y = 10

x + 4y = 12

c)

3x + 5y = 10

x + 4y = 12

d)

3x + 5y = 10

x – 4y = 12

20.

The two tables represent the values that correspond to a system of linear equations. What s the solution to this system of linear equations?

a)

(0, 2)

b)

(-2, 6)

c)

(-1, -5)

d)

(1, 0)

21.

A system of equations is graphed. Which system of two linear equations in two variables best represents the graph?

a)

4x + 6y = 4

8x + 2y = 48

b)

-4x – 6y = -4

8x – 2y = 48

c)

4x – 6y = -4

8x + 2y = 48

d)

Not here

22.

A system of equations is shown:

6x+9y=366x+9y=36
2x+3y=242x+3y=24
What is the solution to the system of equations?

a)

All real numbers

b)

(3, 6)

c)

(21, -6)

d)

No Solution

23.

Solve the following system of equations:
x+y=8x+y=8
x−y=−6x-y=-6

a)

(1, 7)

b)

(2, 9)

c)

(-1, -7)

d)

(8, 0)

24.

Solve the system:

y= 3x -13

2x +4y =4

a)

(5,2)

b)

(4, -1)

c)

(-4, -1)

d)

(5, -2)

e)

(-4, 1)

25.

Select the correct graph for THIS inequality (ignore the one in the image!) y > 7/3 x + 2

a)

A

b)

B

c)

C

d)

D

26.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
27.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
28.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
29.

What graph matches THIS inequality? (ignore the one in the image above) y < 2x + 3

a)
b)
c)
d)
30.

What is the axis of symmetry?

a)

(1,4)

b)

(4,1)

c)

x=1

d)

x=4

31.

What is the green point called

a)

y-intercept

b)

x-intercept

c)

Vertex

d)

Axis of Symmetry

32.

What is the y-intercept of this graph?

a)

x=0

b)

x=-2

c)

(0,0)

d)

(-1,-2)

33.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
34.
Which of the following is ONE of the correct factors of 
2x2 + x - 3?
a)
(2x + 1)
b)
(x + 1)
c)
(2x + 3)
d)
(x - 3)
35.
Which of the following is ONE of the correct factors of 
x2 - 3x?
a)
x2
b)
(x + 3)
c)
3x
d)
(x - 3)
36.
Simplify the radical completely:
√96
a)
3√32
b)
6√2
c)
2√24
d)
4√6
37.

Find the solutions of the factored equation: x(x+3) = 0

a)

x=0 and x=-3

b)

x=0 and x=3

c)

x=-3 and x=3

d)

No solutions

38.

What are the solutions when factoring?

a)

x = 6,2

b)

x = -6, -2

c)

x = 8, 12

d)

x = 4, 4

39.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
40.

Which of the expressions is equivalent to 7x - 14?

a)

7(x - 2)

b)

7(x + 2)

c)

7x + 14

d)

7(x - 14)

41.

Which of the following is equivalent to 4(x + 1) + 8x?

a)

36x + 4

b)

12x + 1

c)

12x + 4

d)

32x + 4

42.

Which expression is equivalent to 5(x + 3) + 2(3x + 4)

a)

11x + 23

b)

11x + 7

c)

10x + 23

d)

11x + 14

43.

What are the solutions?

a)

y=3

b)

x= -1 and x = -3

c)

(-2,-1)

d)

There are no real solutions

44.

(x-2)(3x+1) what are the solutions to this equation?

a)

x=2 and -1

b)

x= -2 and 1

c)

x= 2 and -3

d)

x=2 and -1/3

45.

Find the solutions of the factored equation: x(x+3) = 0

a)

x=0 and x=-3

b)

x=0 and x=3

c)

x=-3 and x=3

d)

No solutions

46.
The solutions of the quadratic equation
x2-5x+6=0 are
a)
x=1 or x=-6
b)
x=3 or x=2
c)
x=-3 or x= 2
d)
x=-1 or x=6
47.
The solution of the quadratic equation
4x2-5x-9=0 are
a)
x=-1 or x=9/4
b)
x=1 or x=9/4
c)
x=2 or x=3
d)
x=-2 or x=-3
48.

What is the axis of of symmetry for the equation 

 y=(x−2)(x−4)y=(x-2)(x-4)  

a)

x = 3

b)

x = -3

c)

x = 2

d)

x = 4

49.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
50.
Is this point a max or min?
a)
max
b)
min
51.
Name the x-intercept(s)?
a)
(0, 0)
b)
(2, 4)
c)
(0, 0) and (0, 4)
d)
(0, 0) and (4, 0)
52.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
53.

a)

F

b)

G

c)

H

d)

J

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.
a)

Vertical stretch, right 3, and down 5

b)

Vertical stretch, left 3, and down 5

c)

Vertical compression, right 3, and down 5

d)

Vertical compression, left 3, and down 5

57.
a)

Reflection across x, wider, and up 4

b)

Reflection across x, more narrow, and up 4

c)

Reflection across x, wider, and down 4

d)

Reflection across x, more narrow, and down 4

58.

What are the x and y intercepts, to the closest whole numbers, of the line shown in the graph?

a)

The x-intercept is (-3, 0)

The y-intercept is (0, -4)

b)

The x-intercept is (0, -3)

The y-intercept is (0, -4)

c)

The x-intercept is (-4, 0)

The y-intercept is (-3, 0)

d)

The x-intercept is (0, -4)

The y-intercept is (-3, 0)

59.

What is the zero of the linear function graphed?

a)

x=5x=5

b)

x=2x=2

c)

x=0x=0

d)

x=1x=1

60.

Which statement best describes the y-intercept of the graph?

a)

The initial water level was 14 feet.

b)

The initial water level was 16 feet.

c)

After 8 days, the water level was 18 feet.

d)

The water level stops at 14.

61.
Determine the y-intercept for the following equation
4x + 2y = -12
a)
4
b)
-6
c)
-12
d)
2
62.

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

a)

29\frac{2}{9}

b)

−92-\frac{9}{2}

c)

92\frac{9}{2}

d)

−29-\frac{2}{9}

63.

Which table shows the same rate of change of y with respect to x as y\ =\ 4\ -\ \frac{5}{8}x ?

a)
b)
c)
d)
64.

What is the slope of the line that passes through the points (2, 9) and (6, 5)?

a)

1

b)

-1

c)

-4

d)

4

65.

The equation of a line is y - 3 = 5/3(x - 6). What is the slope of the line?

a)

-3

b)

5/3

c)

-6

d)

5/3x

66.

What is the slope of the line represented by the table of values?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

67.

Write the equation of the line that passes through the points (-2, 5) and (-2. -3).

a)

y = -2

b)

x = -2

c)

y = -2x

d)

y = x - 2

68.

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

a)

y = 3x - 2

b)

y = x + 3

c)

y = 2x - 3

d)

y = x + 4

69.

A package of baseball cards are sold for $6 each. It costs the manufacturer $500 plus $2 per package of cards to create. Which equation represents the profit, y, earned by selling x packages of baseball cards?

a)

y = 6x – 2x + 500

b)

y = 8x + 500

c)

y = 6x – (2x + 500)

d)

y = 500 + 2x

70.

Which expression best describes the graph?

a)

y = x + 2

b)

y = −23x + 3y\ =\ -\frac{2}{3}x\ +\ 3

c)

y=−23x + 2y=-\frac{2}{3}x\ +\ 2

d)

y=23x +3y=\frac{2}{3}x\ +3

71.

The table shows a relationship between x and y. Which of the following equations best represents this relationship?

a)

y = -2x - 5

b)

y = 3x - 1

c)

y = x + 1

d)

y = 3x + 1

72.

The table shows a relationship between x and y. Which of the following equations best represents this relationship?

a)

y = 0.4x – 16

b)

y = 0.4x – 12

c)

y = 70 + 2.5x

d)

y = 30 + 2.5x