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ECM Final Exam Review

Total questions: 100

Worksheet time: 4hrs 22mins

Name
Class
Date
1.
Solve for n:
6 - (8 - 4n) = 2(2n - 1)
a)
No solution
b)
n = 0
c)
All real solutions
d)
n = -2
2.
Solve:
x = 2y - 4
5x - 3y = 1
a)
(-14, -5)
b)
(-14/13, 19/13)
c)
(-1, 3)
d)
(2, 3)
3.
Find the equation of the line shown
a)
y = 4x - 2
b)
y = -2x + 4
c)
y = 2x + 4
d)
y = -4x - 2
4.
Find the slope of the line containing these two points:
(-5, 1) and (-6, -3)
a)
m = 4/11
b)
m = 1/4
c)
m = -2
d)
m = 4
5.
Solve:
2x + y = 3
7x - 4y = 18
a)
(-30, -57)
b)
(1/2, 2)
c)
(2, -1)
d)
(21/5, -27/5)
6.
Find the slope of the line containing these two points:
(3, -7) and (-4, 5)
a)
m = -12/7
b)
m = -7/12
c)
m = -2/7
d)
m = -7/2
7.
What are the two equations used when setting up this system:
The Lawn and Garden Shop sold 40 bags of lawn seed one week for a total of $263. Large bags of lawn seed sell for $8.50 and smaller bags for $5.75 each. How many bags of each size were sold?
a)
8.5L + 5.75S = 263
L + S = 40
b)
8.5L + 5.75S = 40
L + S = 263
c)
8.5L = 5.75S
L + S = 303
d)
8.5L + 5.75S = 263
8.5L + 5.75S = 40
8.
What are the two equations used when setting up this system:
The length of a rectangle is three times the width. The perimeter is 55cm more than the length. Find the dimensions of the rectangle.
a)
L = 3w
P = 2L + 2w
b)
L = 3w
2L + 2w = 55
c)
L = 3w
Lw = 55 + L
d)
L = 3w
2L + 2w = 55 + L
9.
Write the equation of the line that goes through the points (4, 7) and (0, -5)
a)
y = 1/3x + 7
b)
y = 3x + 7
c)
y = 1/3x - 5
d)
y = 3x - 5
10.
Solve for x:
4 - 5x < 22 - 2x
a)
x > -6
b)
x < -6
c)
x > 6
d)
x < 6
11.
An equation of the line that has a slope of 3 and a y-intercept of -2 is what?
a)
x = 3y-2
b)
y=-2/3x
c)
y=3x-2
d)
y=-2x+3
12.
The graph of which function is shown here
a)
y = -3x-5
b)
y = 5x+3
c)
y = -5x-3
d)
y = 3x - 5
13.
What is the slope of the line pictured?
a)
5/3
b)
3/5
c)
-3/5
d)
-5/3
14.
What is the y-intercept of the line pictured?
a)
(3,0)
b)
(0,5)
c)
(0,3)
d)
(5,0)
15.
What is the x-intercept of the line pictured? 
a)
(3,0)
b)
(0,-5)
c)
(0,3)
d)
(-5,0)
16.
Which inequality is pictured?
a)
y ≤ 4/3x - 4
b)
y ≥ 4/3x - 4
c)
y > 4/3x - 4
d)
y < 4/3x - 4
17.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
18.
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)
19.
Which situation below is representative of y-intercept?
a)
putting $300 a month into savings
b)
buying $30 worth of supplies for a lemonade stand
c)
Spending $3 per ride at the fair
d)
Paying $2 for parking every day
20.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
21.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
22.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
23.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
24.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
25.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
26.

Which of the following is equivalent to x2- 6x -27?

a)

(x+2)(x-4)

b)

(x-1)(x-8)

c)

(x- 9)(x+3)

d)

(x-9)(x+7)

27.

What is the equation of a line passing through (3, 8) and has a zero slope?

a)

x = 3

b)

y = 3

c)

x = 8

d)

y = 8

28.

How many solutions does the following system of equations have?


y = -3x + 3

y = 4x + 1

a)

One solution

b)

No Solution

c)

Infinite Solutions

d)

None of the above

29.

What are the solutions to the quadratic functions f(x) = x2 + 2x - 8?

a)

All real numbers

b)

y = 2, y = -4

c)

Two solutions

d)

x = 2, x = -4

30.

What is the vertex of the quadratic function f(x) = (x - 2)2 + 5?

a)

All real numbers

b)

x = 2

c)

y = 5

d)

(2,5)

31.
What is the definition for MEAN
a)
the MIDDLE number
b)
the number you see the MOST
c)
the HIGHEST to SMALLEST number
d)
the AVERAGE of all numbers
32.
What is the definition for MEDIAN
a)
the MIDDLE number
b)
the number you see the MOST
c)
the HIGHEST to SMALLEST number
d)
the AVERAGE of all numbers
33.
What is the definition for MODE
a)
the MIDDLE number
b)
the number you see the MOST
c)
the HIGHEST to SMALLEST number
d)
the AVERAGE of all numbers
34.

Find the MEDIAN of this Data Set.

98, 32, 6, 66, 72, 98, 95, 65, 96

a)

54

b)

66

c)

72

d)

96

35.
Find the MODE for this Data Set of Numbers.
98, 32, 6, 66, 72, 98, 95, 65, 96
a)
54
b)
66
c)
98
d)
96
36.
What is the y-intercept of the line 2x - 3y = 12?
a)
(0, -4)
b)
(0, -3)
c)
(2, 0)
d)
(6, 0)
37.
What are the solutions for the quadratic equation x2 + 6x = 16
a)
-2, -8
b)
-2, 8
c)
2, -8
d)
2, 8
38.
Identify the slope of the equation 5x + 2y = 0. 
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
39.
How many times does the graph of
y = 2x2 - 2x + 3 intersect the x-axis? 
a)
none
b)
one
c)
two
d)
three
40.

Which system of linear inequalities matches the graph?

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 4

d)

y > 3x and y < -2x + 4

41.

Identify the vertex of the quadratic function.

a)

(-2, 4)

b)

x = -2

c)

(0, 0)

d)

(-4, 0)

42.

What is the slope

of the line?

a)

undefined

b)

zero

c)

1

d)

2

43.

What is the equation of the axis of symmetry for the graph?

a)

x = 4

b)

y = 4

44.

What is the solution to the system of linear equations?

a)

( -1, 3)

b)

(3, -1)

c)

(2, 0)

d)

(0, 6)

45.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
46.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
47.
What piece of information does c identify in the following equation?
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
48.
What form is the equation in?
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
49.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
50.
Find the vertex of 
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
51.
What direction is the following equation opening?
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
52.
Find the y-intercept of
f(x) = 2x2-2x + 1

a)
2
b)
-2
c)
1
d)
-1
53.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
54.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
55.
Which form is the equation
y = -3(x-5)2+7 in?
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
56.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
57.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2

What was the starting height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

58.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
59.
Identify the x-intercepts:
y= -3(x-5)(x+5)
a)
(-5,0)(5,0)
b)
(5,0)(-5,0)
c)
(5,0)(0,5)
d)
(0,5)(0,-5)
60.

A quadratic function has zeros -7 and 9.

What is the intercept form of the equation?

a)

y = (x+7) (x-9)

b)

y = (x-7) (x+9)

c)

(-7,0) (9,0)

d)

(0,-7) (0,9)

61.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
62.

In the standard form equation

y = x2 +5x +7, match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

63.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
64.
Solve Using the Quadratic Formula
a)
-3, 4
b)
3, 4
c)
-4, -3
d)
-3
65.
Solve Using the Quadratic Formula 
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
66.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
67.
Rewrite into standard form: f(x) = 2(x-3)2-1
a)
f(x)=2x2-17
b)
f(x)=2x2-12x+8
c)
f(x)=2x2-12x+17
d)
f(x)=2x2-19
68.
Rewrite into vertex form: g(x)=-2x2-4x-6
a)
g(x)=-2(x+1)2-4
b)
g(x)=-2(x-1)2-4
c)
g(x)=-2(x-1)2-12
d)
g(x)=-2(x+1)2-12
69.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
70.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
71.
Write y = x2 + 4x - 1 in vertex form.
a)
y = (x - 2)2 + 5
b)
y = (x + 2)2 - 5
c)
y = (x + 2)2 - 1
d)
y = (x +2)2 + 3
72.

Write the intercept form in standard form:

y = 3(x+2)(x-1)

a)

3x2+3x-6

b)

x2+x-2

c)

3x2+ x - 2

d)

3x2-6

73.

Write the quadratic function in intercept form:

f(x) = 2x2 + 8x - 10

a)

f(x) = (x+12)(x-4)

b)

f(x) = 2(x+5)(x-1)

c)

f(x) = (x+5)(x-1)

d)

f(x) = 2(x +2)2 -18

74.

What is the formula for exponential decay?

a)

A=P(1+r)t

b)

I=PRT

c)

A=P(1+r/n)nt

d)

A=P(1-r)t

75.

You invested $400 into an account with 7.5% interest rate compounded monthly. Which equation can be used to calculate how much you will have in 7 years?

a)

A=7.5(1+400)^7

b)

A=400(1+7.5)^7

c)

A=400(1+.075/12)^7.5(12)

d)

A=400(1+7.5/12)^12(7)

76.
A car tire fully inflated is losing 2.5% of its air everyday. The tire originally contained 4500 cubic inches of air. Which equation could be used to represent the loss of air
a)
A=4500(1+2.5)^t
b)
A=4500(1+.025)^t
c)
A=4500(1-.025)^t
d)
A=4500(1-2.5)^t
77.
Your parents invested money in an account and used the equation A=15,000(1+.06/365)^365(30)
How long was the money in the account?
a)
1 year
b)
15 years
c)
30 years
d)
6 years
78.
You invested money in an account and used the equation A=10,000(1+.09/4)^4(10)
The interest rate is being compounded__________________.
a)
Daily
b)
Weekly
c)
Monthly
d)
Quarterly
79.
In the formula A=P(1+r)^t
What does P mean
a)
Rate
b)
Starting Amount
c)
Interest as a decimal
d)
Final Amount
80.
You are receiving .369% interest on a savings account. In calculating interest what would this rate look like?
a)
.369
b)
36.9
c)
.00369
d)
3.69
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.
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?
a)
$3122.18
b)
$4994.50
c)
$4440.73
d)
$86,776.40
83.

What is the Q1 of this data set?

6, 7, 2, 1, 5, 2, 1, 6

a)

1

b)

1.5

c)

2

d)

2.5

84.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile of the data?
a)
37
b)
38
c)
40
d)
46
85.

What is the sample standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

86.

What is the population standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

87.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
88.

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for

snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1,

14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6

What are the mean and population standard deviation for these data, to the nearest hundredth?

a)

mean = 9.46; standard deviation = 3.74

b)

mean = 9.46; standard deviation = 3.85

c)

mean = 9.45; standard deviation = 3.74

d)

mean = 9.45; standard deviation = 3.85

89.

What is the sample standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

90.
Q: Mary’s father has 5 daughters – Nana, Nene, Nini, Nono. What is the fifth daughter's name?
a)
Nunu
b)
Dazlyn
c)
Mary
d)
Janet
91.
There are 3 apples on an apple tree. You take 2. How many do you have?
a)
2
b)
1
c)
3
d)
Bieber
92.
What belongs to you but others use it more than you do?
a)
Your name
b)
Your toys
c)
Your life
d)
Your phone
93.
Q: I’m tall when I’m young and I’m short when I’m old. What am I?
a)
Nothing
b)
A candle
c)
My Bed
d)
My Chromebook
94.
You may enter, but you may not come in, I have space, but no room, I have keys, but open no lock. What am I?
a)

A computer

b)
A door
c)
A phone
d)
A room
95.
What kind of room has no doors or windows?
a)
A bathroom
b)
A closet
c)
A mushroom
d)
An asylum room
96.
What has a foot but no leg?
a)
A sandwich
b)
A stool
c)
A keyboard
d)
A ruler
97.
What can go up and come down without moving?
a)
temperature
b)
An Elevator
c)
A AirPlane
d)
A Helecopter
98.
Tigers have striped skin, not just striped fur.
a)
True
b)
False
99.
It is impossible for most people to lick their own elbow.
a)
True
b)
False
100.

What is the name of this character?

a)

Finding Dory

b)

Dory

c)

Nemo's friend

d)

A clown fish

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