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Math 1 EOC Review

Total questions: 83

Worksheet time: 6hrs 18mins

Name
Class
Date
1.
The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina.  Based on the line of best fit for the data, which price might you expect for the model sedan if it were 54 months old?
a)
$10,450
b)
$14,545
c)
$16,537
d)
$18,600
2.
Lava coming from the eruption of a volcano follows a parabolic path.  The height h in feet of a piece of lava t seconds after it is ejected from the volcano is given by h(t) = -t2 + 16t + 936.  After about how many seconds does the lava reach its maximum height?
a)
12
b)
20
c)
8
d)
5
3.

If the endpoints of the diameter of a circle are (–4, 4) and (2, –2), what are the coordinates of the center of the circle? (Hint: midpoint formula)

a)

(-1 , 1)

b)

(1 , -1)

c)

(-3 , 3)

d)

(3 , -3)

4.
What are the roots/zeros of the equation based upon the graph?
a)
0 and 3
b)
2 and -1
c)
0 and 4
d)
1 and 3
5.
What are the roots/zeros of the equation based upon the graph?
a)
0
b)
2 and -3
c)
3 and 5
d)
4 and 1
6.
What are the x-intercepts for the function
f(x) = (x + 4)(x - 7)?
a)
x = -4, -7
b)
x=-4, 7
c)
x = 4, 7
d)
x = 4, -7
7.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
8.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
9.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
10.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 
a)
2 seconds
b)
-2 seconds
c)
-6 seconds
d)
6 seconds
11.
What is the equation for the axis of symmetry of 
f(x)= x2 + 2x + 6
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
12.
If the quadratic has a positive 'a' coefficient, what direction does the parabola open?
a)
Up
b)
Down
c)
left
d)
right
13.
Which quadratic function is shown in the accompanying graph? 
a)
f(x) = x2 + 2x - 2
b)
f(x) = x2 - 4x + 3
c)
f(x) = -x2 + 4x - 3
d)
f(x) = -x2 - 2x + 2
14.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
15.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
16.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
17.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  When does the maximum height occur?
a)
6 seconds
b)
3 seconds
c)
145 seconds
d)
160 seconds
18.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  When does the rocket hit the ground?
a)
7 seconds
b)
6 seconds
c)
3 seconds
d)
8 seconds
19.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t2 + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

20.

The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

2 seconds

c)

6 seconds

d)

9 seconds

21.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
22.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
23.
Which function has the greatest y-intercept?
a)
f(x)
b)
h(x)
c)
g(x)
24.

Which is a line that is parallel to y = 2x - 5 and passes through (1, 5)?

a)

y = 2x + 5

b)

y = 2x + 3

c)

y = -1/2x + 5

d)

y = -1/2x + 11/2

25.

The function f(x) = -0.75x + 12 models the height of candle x seconds after it has been lit. What is the meaning of the y-intercept?

a)

the current height of the candle

b)

the speed that the candle's height is decreasing

c)

the number of seconds after it has been lit

d)

the initial height of the candle

26.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

27.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

28.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

29.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
30.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
31.

The equation

y = 461.19x + 3,492 represents the value of a work of art from 1964 to 2005. What does the number 461.19 represent?

a)

The value of the work of art in 1964

b)

The value of the work of art in 2005

c)

The yearly decrease in value

d)

The yearly increase in value

32.
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
33.
Identify the y-intercept: 
y=-3x-7
a)
-7
b)
-3
c)
-10
d)
12
34.
Identify the slope: 
y=4x+2
a)
0
b)
2
c)
4
d)
6
35.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
36.
What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
37.

Identify the common difference or ratio.

3, 7, 11, 15, ...

a)

Ratio, -4

b)

Difference, -4

c)

Difference, 4

d)

Ratio, 4

38.
Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?
a)
Geometric
b)
Arithmetic
c)
Both
d)
Neither
39.
What is the common ratio of the geometric sequence below?
5, 25, 125, 625...
a)
25
b)
20
c)
5
d)
4
40.
Which lists four consecutive terms of an arithmetic sequence?
a)
1, 4, 9, 16, ...
b)
3, 10, 17, 24, ...
c)
1, 2, 4, 8, ...
d)
-5, 6, 10, 13, ...
41.

Which is an equation of a line that passes through (2,8) and is parallel to line GH?

a)

y = -2x + 6

b)

y = -2x + 8

c)

y = -2x + 10

d)

y = -2x + 12

42.
The sequence below shows the total number of days Francisco had used his gym membership at the end of weeks 1, 2, 3, and 4.
4, 9, 14, 19, ...
Assuming the pattern continued, which function could be used to find the total number of days Francisco had used his gym membership at the end of week n?
a)
f(n) = n + 5
b)
f(n) = 5n - 1
c)
f(n) = 5n + 4
d)
f(n) = n2
43.
What is the equation of the line in slope-intercept form that has a slope of 2 and goes through (3,4)? 
a)
y = -2x +2
b)
y = 2x +2
c)
y = -2x -2
d)
y = 4x +4
44.

What is the equation of the line in slope-intercept form that goes through (2,1) and (4, 5)?

a)

y = 2x + 3

b)

y = -2x - 3

c)

y = -2x + 3

d)

y = 2x - 3

45.
Which equation is perpendicular to:
 y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
46.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
b)
an=an-1-4
a1=6
c)
an=an-1+9
a1=6
d)
an=an-1+6
a1=6
47.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
48.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
49.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
50.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
51.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
52.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
53.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

54.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

55.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
56.

What is the slope formula?

a)
b)
c)
d)
57.

Find the slope given the points (-2,-9) and (-1,-3).

a)

4

b)

-1/6

c)

-6

d)

6

58.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
59.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
60.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
61.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

62.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(2,3)

b)

(-1,2)

c)

(5,-3)

d)

(3,2)

63.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
64.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

65.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
66.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

67.

 Find the distance between (2,3) & (4,1)

a)

3

b)

5.66

c)

2.83

d)

2.79

68.
What is the area of this figure?
a)
7 units2
b)
15 units2
c)
7 1/2 units2
d)
15 1/2 units2
69.

Calculate the area of the shaded figure.

a)

56 units squared

b)

76 units squared

c)

96 units squared

d)

106 units squared

70.
Find the perimeter of the figure to the right.  Round to the nearest tenth.
a)
20.8 units
b)
116 units
c)
11.5 units
d)
19.8 units
71.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

72.
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
73.
What is a, the initial amount, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
74.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
75.
A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 
a)
y=78(0.5)x
b)
y=78(1.5)x
c)
y=78(2)x
76.
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=5000xx
77.
Is this exponential growth or decay?
a)
Growth
b)
Decay
c)
Linear
78.
What does the a in y=a(1+r)x  represent?
a)
Time
b)
Rate
c)
Slope
d)
Initial Amount
79.
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
80.

What is the decay rate in the following model?

A=1200(.85)6

a)

1200

b)

.15

c)

.85

d)

6

81.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
82.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
83.
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=5000xx

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