1. EOCT REVIEW

2. EOCT 1
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 b)350 cars c) cars d) 372 cars
ANSWER - D

3. EOCT 2 What is the y intercept of the equation 6x² + y = 18 (0, 18)
(0,3)
(18, 0)
(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

4. EOCT 3
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?
F(x)=x² -4x +5 c) F(x)= x² -2x +1
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

5. EOCT 4
Which of the following quadratic equations in standard form has the vertex of (1, -1)
F(x) = -2x² -4x +1
F(x) = 2x² -4x +1
F(x) = -2x² +4x +1
F(x) = 2x² +4x -1
ANSWER – B
Find the vertex of each function using the
–b/2a formula

6. EOCT 5
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.
Looking at the chart, which data set has the lowest mean?
Doctors C. Cannot be Determined
B. Nurses D. They have the same mean
ANSWER – B
Add up all the data points and divide by 5. Who has the lowest mean?
Nurses 48 50 49 47 51
Doctors 53 54 52

7. EOCT 6 Simplify 2 ³ 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 Take 1 divided by 8 to get your answer
Look for the ^ button or the X button

8. EOCT 7 Which of the following is the solution to: 2x -3 ≤ 7
-2 ≤ x ≤ 7 c) x ≤ 5
x ≥ 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

9. EOCT 8
Simplify the expression 3i(-4 + i) and express as a complex number in standard form.
-3- 12i
-3 -21i
-12i +3i²
i( i)
ANSWER – A
Multiply it out to get -12i + 3i². Replace i² with -1

10. EOCT 9 Which of the following arithmetic series has a sum of 100
Σ (n+2) B) Σ 4+2(n+3)
C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)
ANSWER – A
Start with 1 and sub in for n up to 5. Add up the numbers until you get 100 5 5
n=1
n=1 5 5
n=1
n=1

11. EOCT 10 What is the domain of the function y = x³? 0 ≤ x ≤ ∞ 3 ≤ x ≤ ∞
ANSWER – C
Remember, the domain is all real numbers
Domain Hint
When in doubt ALL REALZ

12. EOCT Day 11
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?
35 c) 135
d) 155
ANSWER – A
Monday 10, Tuesday 15, Wednesday 20, Thursday 25 Friday 30, Saturday 35

13. EOCT Day 12
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?
Male and female test scores
Average EOCT scores for boys
Average EOCT scores for girls
Average EOCT scores of boys and girls
Answer – D
Look at the underlined section of what exactly is being compared

14. EOCT Day 13
Find the domain of the inverse for the following function y = x³
0 ≤ x ≤ ∞ c) - ∞≤ x ≤ ∞
3 ≤ 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

15. EOCT Day 14 Which of the following is −16 in imaginary form? 4 −1 4i
4 −1 4i
16i -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.

16. EOCT Day 15 What is the linear regression equation for the chart below
A) y = 3x
B) y = 2x + 1
C) y = 2x + 5
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 x Y 2 5 3 7 4 9 11

17. EOCT Day 16 Which of the following is the solution for 2x² + 5 = -13?
x = 3i
x = -9
x = 9i
ANSWER – B
Subtract 5 from both sides, divide by sides by 2 and
x² = -9. Square root both sides. −9 = 3i

18. EOCT Day 17
Compare the standard deviation of Louise and Thelma’s bowling scores. Whose standard deviation is higher?
Thelma c) they are the same
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 T 85
176
111
201
159
187
134 L 99 83
102
175
126 79
223

19. EOCT Day 18 Given y = ½(x – 2)² + 1, what is the vertex?
(2, 1) B) (2, -1)
c) (-2, 1) D) (-2, -1)
ANSWER – A
The vertex is ALWAYS the value inside the parenthesis with the value changed and

20. EOCT Day 19 Write −2 −4 in standard form -i 2 +4 i 2 - 4 -4 + i 2
ANSWER – C
“Standard form” means the real part comes first THEN the imaginary part. −2 = i 2

21. EOCT Day 20 What is the inverse of y = x² x = 𝑦 y = x² x² = y y = 𝑥
ANSWER – D
Inverse is all about how to ‘undo’ the original. How do you ‘undo’ an x²? With a 𝑥 ?

22. EOCT 21 A)Σ 10 – (2 + n) B)Σ 12 – (3 - n)
Which of the following arithmetic series has a sum of 60
A)Σ 10 – (2 + n) B)Σ 12 – (3 - n)
C) Σ 11 + (4 – n) D) Σ 9 + (n + 3)
ANSWER – C
Replace n with 1, 2, 3, and 4, add! 4
n = 1
n = 1

23. EOCT 22 How is the graph y = -x² different from the graph y = x²?
The graph y = -x² is shifted down 1 unit
The graph y = -x² is reflected over the x axis and opens upward
The graph y = -x² is reflected over the x axis and opens downward
The graph y = -x² is shifted left 1 unit
ANSWER – C
When there is a reflection of a quadratic, the parabola opens downward

24. EOCT 23
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 B) y = -2.3x +1.5
c) y = 2.3x 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

25. EOCT Day 24
Which of the following functions is represented by the graph
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

26. EOCT Day 25
In comparing the graphs y = |x| and y = 4|x|, the graph y = 4|x|:
Opens down, is narrower
Opens up, is wider
Opens down is wider
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.

27. EOCT 26
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”
Mode B) Mean C) Median D) Mode
ANSWER – MEDIAN
When the numbers are put in order, the median is the middle number

28. EOCT Day 27 -3 c) − 11 2 -5 D) -7 ANSWER – B
What is the next number in the pattern
-3, , −4, − 9 2 , …..
-3 c) − 11 2
-5 D) -7
ANSWER – B
The common difference is So subtract 0.5 from each and the next term would be -5

29. ECOT Day 28
In 1989 a movie ticket cost $ In 1999 a movie ticket cost $ Find the average rate of change of the price of a movie ticket.
$ 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.

30. EOCT 29 Solve the inequality algebraically x² + 2x ≥ 48. -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.

31. EOCT 30 What is the discriminant of 5x² -3x – 12 = 0
-231 B) 249 C) 243 D) -240
ANSWER B
Formula for the discriminant b²-4ac. Plugged in would be -3² - 4(5)(-12) = 249

32. EOCT 31
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?
The average number of customers was greater for lunch
The average number of customers was greater for dinner
There was more variation in the number of customers for lunch
There was more variation in the number of customers for dinner
ANSWER – C
Variation means standard deviation. Lunch has the largest standard deviation.
Mean
Standard Deviation
Lunch
40.0
8.7
Dinner
2.0

33. EOCT 32 What function does the scatter plot resemble? Linear Quadratic
Absolute Value
Rational
ANSWER – B
The scatter plot looks like ½ of a quadratic parabola

34. EOCT 33
You have a budget of $100 to spend on books and movies. A book costs $19.00 and a movie costs $ Which inequality best describes the amount of books (b) and movies (m) you can buy?
15b + 19m ≤ 100
15b + 19m ≥ 100
19b + 15m ≤ 100
19b + 15m ≥ 100
ANSWER – C
19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

35. EOCT 34 Which function(s) below are one-to-one I II I only c) I and II
II only d) neither I or II
ANSWER C
Both functions pass the HORIZONTAL LINE test

36. EOCT 34 Which of these is a root of the equation graphed below?
x = 1 c) x = -3
x = d) x = 3
ANSWER C
The graph crosses at x = -3 and x = -1 but only
x = -3 is listed.

37. EOCT 34
Use the discriminant to determine the roots of the equation 9x² - 30x + 25 = 0.
No real roots c) 2 real roots
1 real root 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!