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Review for EOC

Total questions: 50

Worksheet time: 4hrs 38mins

Name
Class
Date
1.

What is a parabola?

a)

The straight graph of a quadratic function

b)

The circular graph of a quadratic function

c)

The V-shaped graph of a quadratic function

d)

The U-shaped graph of a quadratic function

2.

Using the graph of the quadratic function, identify the y-intercept.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

3.

Using the graph of the quadratic function, identify the vertex.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

4.

Which of the following graphs appropriately marks the axis of symmetry?

a)
b)
c)
d)
5.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
6.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
7.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

8.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

9.

Which of the statements about the graph is FALSE?

a)

The vertex is a maximum

b)

There are two zeros at x = -3 and x = 3

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

10.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

11.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
12.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
13.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
14.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
15.
What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?
a)
The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum
16.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
17.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
18.
An arithmetic sequence is a sequence with a common _________.
a)
difference
b)
ratio
c)
absolute value
d)
domain
19.

A geometric sequence is a sequence with a common _________.

a)

difference

b)

ratio

c)

formula

d)

absolute value

20.
The first term in an arithmetic sequence is 142 and the common difference is 55.  What is the 12th term?
a)
747
b)
605
c)
1617
d)
802
21.
The first term in a geometric sequence is 160 and the common ratio is 1/2.  What is the 7th term?
a)
5
b)
2.5
c)
10
d)
1.25
22.
The first term in a geometric sequence is -4 and the common ratio is 2.  What is the 10th term?
a)
-2048
b)
1024
c)
-1024
d)
2048
23.

Write the explicit formula for the sequence.


216, 72, 24, 8, ...

a)

an=216⋅(13)(n−1)a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}

b)

an=8⋅3(n−1)a_n=8\cdot3^{\left(n-1\right)}

c)

an=216−144(n−1)a_n=216-144\left(n-1\right)

d)

an=216⋅3(n−1)a_n=216\cdot3^{\left(n-1\right)}

24.

What is the next term in the sequence 12, 31, 40, 49, ... ?

a)

56

b)

57

c)

58

d)

59

25.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
26.
Which kind of sequence has a common ratio?
a)
Arithmetic
b)
Geometric
27.
Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
 -14, -11, -8, -5, ... 
a)
Arithmetic
Common Difference: 3
b)
Arithmetic
Common Difference: -3
c)
Geometric
Common Ratio: 4
d)
Geometric 
Common Ratio: 3
28.
Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
97, 86, 75, 64, ...
a)
Arithmetic
Common Difference: 8
b)
Geometric
Common Ratio: -11
c)
Arithmetic
Common Difference: -11
d)
Geometric
Common Ratio: -8
29.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
30.
Solve for y:
5x + y = -10
a)
y = 5x + 10
b)
y = -5x - 10
c)
y = 2
d)
y = -5
31.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
32.
2x+8 = 22
a)
14
b)
16
c)
8
d)
7
33.

6x - 12 = 18

a)

-5

b)

5

c)

6

d)

9

34.
What is the first step in getting "x" by itself?
3x - 7 = 28
a)
subtract 7
b)
add 7
c)
multiply by 3
d)
divide by 3
35.

Find the slope of the line.

a)

3/2

b)

-43/2

c)

2

d)

-2

36.
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
37.
Whats the horizontal asymptote?
a)
y=1
b)
y=0
c)
(0,-1)
d)
y=-1
38.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
39.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
40.
Which of the following could correctly represent a horizontal asymptote? 
a)
(0,3)
b)
y=3
c)
3
d)
(3,0)
41.
There are 5 original students that started at Texas Tech in 1923, each year the campus grew triple the size of the previous year, whats the function?
a)
y=(1/3)5x
b)
y=5(1/3)x
c)
y=5(3)x
d)
y=3(5)x
42.

Is the function an example of exponential growth or decay?

f(x)=12(6)xf\left(x\right)=\frac{1}{2}\left(6\right)^x  

a)

Exponential Growth

b)

Exponential Decay

43.

Factor 4x2-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

44.
Fully Factor the Following
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
45.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

46.

What type of correlation does this graph have?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

47.

What type of correlation does this scatter plot show?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

48.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

49.

Which scatter plot diagram shows the strongest positive correlation?

a)
b)
c)
d)
50.

What is the third planet of the solar system?

a)

Neptune

b)

Earth

c)

Venus