Transcript EOCT Question of the day

Jeff’s Wholesale Auto Dealership holds an auction
once a month. What is the average number of cars
sold at the auction for the past 6 months?
Month 1: 288 cars
Month 4: 558 car
Month 2: 432 cars
Month 5: 366 cars
Month 3: 330 cars
Month 6: 258 cars

a)318.9 cars
ANSWER - D
b)350 cars
c) 446.6 cars
d) 372 cars
What is the y intercept of the equation
6x² + y = 18

(0, 18)
B.
(0,3)
C. (18, 0)
D. (3,0)
ANSWER – A
Put in standard form y=-6x² + 18
Make x = 0 and solve for y
y=6(0)² + 18
y = 18
A.
The graph of the function F(x) = x² has been
translated so that its new vertex is (2,1). What is
the new equation of the function in standard form?
A) F(x)=x² -4x +5
c) F(x)= x² -2x +1
B) F(x)= x² +4x +1
d) F(X) = x² + 2x -1
Answer – A
First put into vertex form –> F(x) = (x -2)² + 1
Remembering to switch the sign for the x value.
Then FOIL it out
Which of the following quadratic equations in
standard form has the vertex of (1, -1)
F(x) = -2x² -4x +1
B) F(x) = 2x² -4x +1
C) F(x) = -2x² +4x +1
D) F(x) = 2x² +4x -1
ANSWER – B
Find the vertex of each function using the
–b/2a formula
A)
Nina wanted to see whether doctors or nurses work more hours
in a 5 day work week. She interviewed random
doctors/nurses and asked them how many hours a week
they work.
Nurses
48
50
49
47
51
Doctors 53
54
53
51
52
Looking at the chart, which data set has the lowest mean?
A.
B.
Doctors
B. Nurses
C. Cannot be Determined
D. They have the same mean
ANSWER – B
Add up all the data points and divide by 5. Who has the
lowest mean?
Simplify 2 ³
A)
1/8
B)-8
C) -6
D) -1/8
ANSWER – A
This is a simple calculator question. Type it in
and solve. You’ll get 0.125. Take 1 divided by
8 to get your answer
Look for the ^ button or the X button
Which of the following is the solution to:
2x -3 ≤ 7
A)
B)
-2 ≤ x ≤ 7
x≥2
c) x ≤ 5
d) -2 ≤ x ≤ 5
ANSWER – D
It is an AND problem. So… -7 ≤ 2x – 3 ≤ 7. Add 3
to both sides and divide by 2
Simplify the expression 3i(-4 + i) and express as a
complex number in standard form.
-3- 12i
B) -3 -21i
C) -12i +3i²
D) i(-12 + 3i)
ANSWER – A
Multiply it out to get -12i + 3i². Replace i² with -1
A)
Which of the following arithmetic series has a
sum of 100
5
A)
Σ 5 +3 (n+2)
n=1
5
C) n=1
Σ 6+3(n+3)
5
B) Σ 4+2(n+3)
n=1
5
D) Σ 5 = 3(n-1)
n=1
ANSWER – A
Start with 1 and sub in for n up to 5. Add up the
numbers until you get 100
What is the domain of the function y = x³?
0≤x≤∞
B. 3 ≤ x ≤ ∞
C. -∞ ≤ x ≤ ∞
D. 0 < x < ∞
ANSWER – C
Remember, the domain is all real numbers
A.
Domain Hint
When in doubt ALL REALZ
Andrea began an exercise program on Monday. The
first day she did 10 sit-ups. Each day she added 5
more sit-ups. How many sit-ups will she have
done at the end of the first Saturday of her
program?
A) 35
c) 135
B) 100
d) 155
ANSWER – A
Monday 10, Tuesday 15, Wednesday 20, Thursday
25 Friday 30, Saturday 35
Joe decided to investigate whether HS girls or HS
boys have higher EOCT scores. To do this he took
a random sample of EOCT scores of both boys and
girls. To come to his conclusion, Joe averaged the
test scores for each group and compared the two.
What are being compared?
A) Male and female test scores
B) Average EOCT scores for boys
C) Average EOCT scores for girls
D) Average EOCT scores of boys and girls
Answer – D
Look at the underlined section of what exactly is
being compared
Find the domain of the inverse for the following
function y = x³
A)
B)
0≤x≤∞
3≤x≤∞
c) - ∞≤ x ≤ ∞
d) -∞ ≤ x ≤ 0
ANSWER – C
Remember it is a cubic function, a cubic function and
its inverse have a domain of all real numbers.
HINT – when in doubt….ALL REALZ
Which of the following is
−16 in imaginary form?
4 −1
B) 4i
C) 16i
D) -4
Answer – B
Remember, you cannot square root a negative.
The negative under the root means your answer
will have an i in it. So square root the number and
add an i.
A)

What is the linear regression equation for the chart
below
x
Y
2
5
A) y = 3x
3
7
 B) y = 2x + 1
4
9
 C) y = 2x + 5
5
11
 D) NOT LINEAR
ANSWER – B
This is a calculator question. Press 2nd DATA and
select 2 var. Then press DATA and enter your x and y
values. Press STATVAR to find your equation in y =
ax + b

Which of the following is the solution for
2x² + 5 = -13?
x = -3
B) x = 3i
C) x = -9
D) x = 9i
ANSWER – B
Subtract 5 from both sides, divide by sides by 2 and
x² = -9. Square root both sides. −9 = 3i
A)
Compare the standard deviation of Louise and
Thelma’s bowling scores. Whose standard
deviation is higher?
T
L
85
176
111
201
159
187
134
99
83
102
175
126
79
223
Thelma
c) they are the same
B) Louise
d) cannot calculate
ANSWER – B
On your calculator press 2nd DATA and 1-VAR.
Enter your x values with FRQ as 1. Press
STATVAR and find Ơx
A)
Given y = ½(x – 2)² + 1, what is the vertex?
(2, 1)
c) (-2, 1)
A)
B) (2, -1)
D) (-2, -1)
ANSWER – A
The vertex is ALWAYS the value inside the parenthesis
with the value changed and
Write −2 − 4 in standard form
-i 2 + 4
B) i 2 - 4
C) -4 + i 2
D) -4 – i 2
ANSWER – C
“Standard form” means the real part comes first
THEN the imaginary part. −2 = i 2
A)
What is the inverse of y = x²
x= 𝑦
B) y = x²
C) x² = y
D) y = 𝑥
ANSWER – D
Inverse is all about how to ‘undo’ the original.
How do you ‘undo’ an x²? With a 𝑥?
A)

Which of the following arithmetic series has a
sum of 60
4
A)Σ 10 – (2 + n)
n=1
C) Σ 11 + (4 – n)
B)Σ 12 – (3 - n)
n=1
D) Σ 9 + (n + 3)
ANSWER – C
Replace n with 1, 2, 3, and 4, add!
How is the graph y = -x² different from the graph
y = x²?
The graph y = -x² is shifted down 1 unit
B) The graph y = -x² is reflected over the x axis and opens
upward
C) The graph y = -x² is reflected over the x axis and opens
downward
D) The graph y = -x² is shifted left 1 unit
ANSWER – C
When there is a reflection of a quadratic, the parabola
opens downward
A)
Use the linear regression feature on your calculator to
determine the equation of the linear function that can be
used to model the relationship below.
(7 hours, 16.8 miles), (7.7 hours, 19.2 miles), (9 hours, 23
miles), (11 hours, 26 miles)
y = -2.3x – 1.5
c) y = 2.3x + 1.5
A)
B) y = -2.3x +1.5
D) y – 2.3x – 1.5
ANSWER – C
This is a calculator question. Press 2nd DATA and select 2
var. Then press DATA and enter your x and y values.
Press STATVAR to find your equation in y = ax + b
Which of the following functions is represented by the
graph
A)
B)
C)
D)
y = -4x + 6
y = 4x + 6
y = - 4x -6
y = -4x – 6
ANSEWR – B
Since the line is moving upward, the slope is positive, the
y-intercept is 6. Put into the form
y = mx +b where m is the slope, b is the y intercept
In comparing the graphs y = |x| and y = 4|x|,
the graph y = 4|x|:
Opens down, is narrower
B) Opens up, is wider
C) Opens down is wider
D) Opens up is narrower
ANSWER – D
REMBEMBER – the 4 is positive so it opens up,
the 4 is a whole number so it stretches making the
V narrower.
A)
Which of the following measures of central
tendency does the following algorithm describe?
“Put the numbers in order and circle the one in
the middle”
A)
Mode
B) Mean
C) Median
D) Mode
ANSWER – MEDIAN
When the numbers are put in order, the median is
the middle number
What is the next number in the pattern
7
-3, - ,
2
A)
B)
-3
-5
−4,
9
− ,
2
…..
11
−
2
c)
D) -7
ANSWER – B
The common difference is -0.5. So subtract
0.5 from each and the next term would be -5
In 1989 a movie ticket cost $3.00. In 1999 a movie
ticket cost $5.50. Find the average rate of change of
the price of a movie ticket.
A)
B)
$0.20
$0.25
c) $0.30
D) $0.85
ANSWER – B
The formula is
𝑦2 −𝑦1
.
𝑥2 −𝑥1
If you use 1999 as y2, 1989
as y1, 5.50 as x2 and 3.00 as x1 you would get 0.25.
Solve the inequality algebraically
x² + 2x ≥ 48.
A)
B)
C)
D)
-8 ≤ x ≤ 6
x ≤ -8 or x ≥ 6
x ≥ 8 or x ≤ - 6
-6 ≤ x ≤ 9
ANSWER – C
FIRST – it is a greatOR problem so OR must be in the
answer. Then, once factored you’d get (x+6)(x-8)≥0.
When solved you’d have to have a -6 and +8 in the
answer.
What is the discriminant of 5x² -3x – 12 = 0
A)
-231
B) 249
C) 243
D) -240
ANSWER B
Formula for the discriminant b²-4ac. Plugged in would
be -3² - 4(5)(-12) = 249
The table compares the number of customers a restaurant had
for lunch and dinner over a period of 1 year. Which of these is
a correct conclusion?
Mean
Standard Deviation
Lunch
40.0
8.7
Dinner
40.0
2.0
The average number of customers was greater for lunch
B)
The average number of customers was greater for dinner
C)
There was more variation in the number of customers for
lunch
D)
There was more variation in the number of customers for
dinner
ANSWER – C
Variation means standard deviation. Lunch has the largest
standard deviation.
A)
What function does the scatter plot resemble?
Linear
B)
Quadratic
C)
Absolute Value
D) Rational
ANSWER – B
The scatter plot looks like ½ of a quadratic parabola
A)
You have a budget of $100 to spend on books and
movies. A book costs $19.00 and a movie costs
$15.00. Which inequality best describes the amount
of books (b) and movies (m) you can buy?
A) 15b + 19m ≤ 100
B) 15b + 19m ≥ 100
C) 19b + 15m ≤ 100
D) 19b + 15m ≥ 100
ANSWER – C
19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100
Which function(s) below are one-to-one
I
A)
B)
II
I only
II only
c) I and II
d) neither I or II
ANSWER C
Both functions pass the HORIZONTAL LINE test
Which of these is a root of the equation graphed
below?
x=1
c) x = -3
B) x = -2
d) x = 3
ANSWER C
The graph crosses at x = -3 and x = -1 but only
x = -3 is listed.
A)
Use the discriminant to determine the roots of the
equation 9x² - 30x + 25 = 0.
A)
B)
No real roots
1 real root
c) 2 real roots
d) 2 complex roots
ANSWER – B
Use the discriminant formula b² - 4ac. Plug in a = 9,
b = -30, c = 25 and the answer will be 0. When the
answer is zero, there is 1 real root!
The graph of f(x) = 3𝑥 is translated down 2 units,
what is the equation of the translation?
A) f(x) = 3𝑥 + 2
B) f(x) = 3𝑥 - 2
C) f(x) = 3𝑥 −2
D) f(x) = 3𝑥+2
ANSWER – B
If the graph moves down 2 places, there will be a 2 at the END of the equation.
Solve for |x + 6| = 6
A)
B)
C)
D)
{-12}
{12, 0}
{0, -12}
{0}
ANSWER – C
Set up the equation as x + 6 = 6 and x + 6 = -6 and
solve for x by – 6 on both sides.
6-6 = 0 and -6 – 6 = -12
Which of the following is the equation to the graph:
A)
B)
C)
D)
y = (x – 1)² - 4
y = (x – 1)² + 4
y = (x + 1)² - 4
y = (x + 1)² + 4
ANSWER – C
The vertex of the parabola is (-1, -4). The -1 changes it
sign, the -4 DOES NOT
The tangent of <B is ________
B
A)
B)
95
7
95
12
C)
7 95
D)
12
7
12
adjacent
7
C
ANSWER – A
TANGENT =
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑠𝑖𝑑𝑒
𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒
95
=
7
95
opposite
A
What is the range of the following equation
f(x) = -|x – 3| + 2
y>3
B) y ≥ 2
C) y ≤ 3
D) y ≤ 2
ANSWER – D
The vertex is (3, 2). Range ALWAYS deals with the y
value of the vertex. Since it’s the graph opens down
making it LESS than
A)
A grocery store sells 2 boxes of cereal for $4.95.
Which method can be used to find the total cost (c) of
purchasing n boxes of cereal?
Multiply n by the cost of one box
B) Divide n by c
C) Multiply n by c
D) Divide n by the cost of one box.
ANSWER – A
If you want to by 2 boxes, it would be n x 2. If you
want to buy 8 boxes, it would be n x 8, etc.
A)
The table below gives the number of inner tubes, I,
sold in a bike shop between 1985 and 1990.
Determine which model best fits the data
Year
1985
1986
1987
1989
1990
Inner
Tubes
40
56
74
113
127
Linear
c) Absolute Value
B) Quadratic
d) Exponential
ANSWER – D
As the years increase so does the number of inner
tubes sold, but it does not increase at the same rate
A)
Simplify −36
A)
B)
C)
D)
-6i
6i
-36i
36i
ANSWER – B
When taking the square root of a negative number,
take the square root of the number and add and i
Which term best describes the relationship
between x and y
Positive correlation
c) positive causation
B) Negative correlation
d) negative causation
ANSWER – A
The graph is increasing making it a positive
correlation
A)
Which of these is equal to Cos47°
A)
B)
Tan73°
Sin43°
ANSWER – B
COS47 = 0.682
SIN43 = 0.682
c) Tan137°
d) Cos137°
What is the product of (5 + 4i) and (3 – 2i)?
A)
B)
C)
D)
7 + 2i
8 + 2i
15 – 8i
23 + 2i
ANSWER – A
Product means add. Collect like terms 5 + 3 = 7.
4i + -2i = 2i
Write the equation for the graph
y = x² - 2
c) y = x² + 2
B) y = |x| -2
d) y = |x| + 2
ANSWER – B
The graph is absolute value shifted DOWN 2
A)
The data below represents the price of a pair of shoes
at ten stores. Find the mean of the data.
77, 65, 59, 77, 63, 60, 60, 68, 77
A)
B)
64
77
c) 60.8
d) 66.7
ANSWER – D
There are 10 terms. Add up each and divide by 10
Which equation best models the data in the scatter
plot?
y = x + 1.5
c) y = x – 1.5
B) y = -x + 1.5
d) y = -x – 1.5
ANSWER – A
The scatter plot has a positive slope and a y intercept
of 1.5
A)
Next Quiz - TODAY
Which of the following best describes the graph
below:
A)It is one-to-one because it passes
the horizontal line test
B) It is not one-to-one because
it does not pass the horizontal line test
C) It is one-to-one because it passes the vertical
line test.
D) It is not one to one because it does not pass the vertical line
test.
ANSWER – A
One-to-one deals with the HORIZONTAL LINE test and a
cubic function passes it.
What is the inverse of f(x) = 2x +
A)
g(x) =
B)
g(x) =
C)
g(x) =
1
𝑥
2
1
𝑥
2
1
𝑥
2
1
𝑥
2
−
+
+
g(x) =
−
ANSWER – D
D)
3
?
4
4
3
3
8
4
3
3
8
3
4
First step is to ‘undo’ the by subtraction. Then
divide everything by 2
Which of the following pairs are equal
A)
B)
C)
D)
Tan31° and Sin51°
Cos22° and Sin68°
Tan40° and Sin40°
Cos70° and Sin70°
ANSWER – B
Cos22° = 0.927 and Sin68° = 0.927
A photographer shines a camera light at a particular painting
forming an angle of 40 ° with the camera platform. If the light
is 58 feet from the wall where the painting hangs, how high
above the platform is the painting hanging?
1.19ft
O
x
B)
48.67ft
40°
C) 69.12ft
58ft
A
D) 0.84ft
ANSWER B
We would use tan because X is the opposite side, and 58 is the
𝑥
adjacent side. So it would be Tan40 = and since x is in the
58
numerator, we would multiply tan40 x 58 = 48.67
A)
What is the standard deviation of 120, 190, 145, 160,
210, 180, 175, 140, 180, 200?
170
B) 26.9
C) 177.5
D) 26.4
ANSWER B
Press 2nd DATA and select 2-var. Press DATA and
enter each x value with an FRQ as 1. Press STATVAR
and look for δx
A)
What situation could the graph below represent?
Dropping a book
B) A person aging
C) A full helium balloon
D) A thrown ball
ANSWER – D
A thrown ball will look like a reflected parabola, it
will go up, then down.
A)
Which type of graph would be the most
appropriate to show how a group’s funds should
be budgeted?
Pictograph
B) Line graph
C) Bar graph
D) Circle graph
ANSWER – D
A circle graph is usually used to show percent.
A)
Find the sum of the first 10 terms in this sequence
-5 + 0 + 5 + 10 + ……
A)
B)
C)
D)
350
170
175
180
ANSWER B
The first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 +
25 + 30 + 35 + 40 – then simply add!
Use the function below to answer the question.
2
f(x) = + 3
𝑥
What value is NOT contained in the domain?
0
B) 1
C) 2
D) 3
ANSWER – A
You can NEVER have a 0 in the denominator of a
fraction!
A)
Which scatter plot below would model a linear
function?
A)
B)
ANSWER - A
C)
D)
Find the missing side
45
3
6
c) 3 2
B) 9
d) 6 2
ANSWER – C
In a 45 -45-90 triangle, the hypotenuse is 3
Times longer than the leg
A)
Simplify 4−3
A)
B)
- 64
1
64
c) -12
1
d)
−12
ANSWER – B
When the exponent is negative, the answer is in
1
−3
fraction form. 4 = 0.015625.
= 0.015625
64
Find the inverse of y = x³ + 2
A)
B)
C)
D)
y = 3x – 2
y=3 𝑥-2
y=3 𝑥+2
y=
2
x
3
–2
ANSWER – B
You UNDO the +2 with a -2. You UNDO the x³ with
a3𝑥
Use the linear regression feature on your calculator to
determine the equation for the following relationship.
(3ads, 52 clicks), (4ads, 69 clicks), (5ads, 78 clicks),
(6ads, 83 clicks), (8ads, 97 clicks)
y = -8.5x + 31.8
c) y = 8.5x – 31.8
B) y = 8.5x + 31.8
d) y = -8.5x – 31.8
ANSWER – B
Press 2nd DATA and 2-var. Then DATA and enter
your x and y values. Press STATVAR and look for a
and b values and put in y = ax + b
A)
Given the equation f(x) = ½ (x – 2)² + 1, which way
does the parabola open and what is the vertex?
Opens up, vertex (-2, 1)
B) Opens up, vertex (2, 1)
C) Opens down, vertex (-2, 1)
D) Opens down, vertex (2, 1)
ANSWER – B
The ½ is positive so it opens UP. Always change
And keep
A)
Simplify x² · 𝑥 −4
A)
𝑥 −2
B)
𝑥 −8
1
c) 2
𝑥
1
d) 8
𝑥
ANSWER – C
When you multiply bases, add the exponents. 2 + -4 = -2.
But remember, NO NEGATIVE exponents. Put the
exponent in the denominator of a fraction.
The data set below displays the average weight for a Jack
Russell Terrier. Using the line of best fit, determine the
average weight for a Jack Russell when they are one year
old.
2lbs
B) 4 lbs
C) 6 lbs
D) 8 lbs
ANSWER – A
At age 1 (on the x axis because x axis always measures
time, the weight would be 2 lbs
A)
What is the value of b?
A)
B)
C)
D)
2
2
2
1
2 2
4
45⁰
b
ANSWER – B
In a 45-45-90 triangle, the hypotenuse is 2 times
longer than the leg.
Simplify: (-3)³
A)
B)
C)
D)
27
-27
27i
-27i
ANSEWR – B
Simple calculator (-3) ^ 3 = -27. ONLY use i when
it is a square ROOT of a negative number
What is the y-intercept of f(x) = A)
1
x²
5
- 5?
(0,5)
B)
(0,
C)
(0,
1
)
5
1
- )
5
(0, -5)
ANSWER – D
For ANY quadratic always list A, B, C
D)
A=
1
- ,
5
B = 0, C = -5. The y-intercept is ALWAYS (0, c)