Part I

Part I

Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale. For each statement or question, choose the word or expression that, of those given, best completes the statement or answers the question. Record your answers on your separate answer sheet

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Question 1 of 24

1. Question
1. Which correlation shows a causal relationship?
- A. The more minutes an athlete is on the playing field, the more goals he scores.
- B. The more gasoline that you purchase at the pump, the more you pay.
- C. The longer a shopper stays at the mall, the more purchases she makes.
- D. As the price of a gift increases, the size of the gift box increases.
Correct

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Question 2 of 24

2. Question
2. Josh graphed the function $f(x) = -3(x - 1 )^2 + 2$ . He then graphed the function $g(x) = -3(x - 1)^2 - 5$ on the same coordinate plane. The vertex of $g(x)$ is
- A. 7 units below the vertex of $f(x)$
- B. 7 units above the vertex of $f(x)$
- C. 7 units to the right of the vertex of $f(x)$
- D. 7 units to the left of the vertex of $f(x)$
Correct

Incorrect
Question 3 of 24

3. Question
3. When $(x)(x - 5)(2x + 3)$ is expressed as a polynomial in standard form, which statement about the resulting polynomial is true?
- A. The constant term is 2.
- B. The leading coefficient is 2.
- C. The degree is 2.
- D. Then number of terms is 2.
Correct

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Question 4 of 24

4. Question
4. The functions $f(x)$ and $g(x)$ are graphed on the set of axes below.

For which value of $x$ is $f(x) \neq g(x)$ ?
- A. – 1
- B. 2
- C. 3
- D. – 2
Correct

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Question 5 of 24

5. Question
5. Bryan’s hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Which expression represents the total cost of $x$ number of jerseys for the team?
- A. $23x$
- B. $23 + 250x$
- C. $3x + 250$
- D. $23(x + 250)$
Correct

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Question 6 of 24

6. Question
6. A survey was given to 12th-grade students of West High School to determine the location for the senior class trip. The results are shown in the table below.

To the nearest percent, what percent of the boys chose Niagara Falls?
- A. 12
- B. 24
- C. 44
- D. 56
Correct

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Question 7 of 24

7. Question
7. Which domain is most appropriate for a function that represents the number of items, $f(x)$ , placed into a laundry basket each day, $x$ , for the month of January?
- A. integers
- B. whole numbers
- C. rational numbers
- D. irrational numbers
Correct

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Question 8 of 24

8. Question
8. Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is $5$ more than twice the number of dimes, $d$ . Which equation could be used to find the number of dime he has?
- A. $0.10d + 0.05(2d + 5) =1.45$
- B. $0.10(2d + 5) + 0.05d = 1.45$
- C. $d + (2d + 5) = 1.45$
- D. $(d - 5) + 2d = 1.45$
Correct

Incorrect
Question 9 of 24

9. Question
9. The first term in a sequence is 5 and the fifth term is 17. What is the common difference?
- A. 2.4
- B. 12
- C. 3
- D. 4
Correct

Incorrect
Question 10 of 24

10. Question
10. Mrs. Rossano asked her students to explain why $(3,-4)$ is a solution to $2y + 3x = 1$ . Three student responses are given below.

Andrea:
“When the equation is graphed on a calculator, the point can be found within its table.”

Bill:
“Substituting $x = 3$ and $y = -4$ into the equation makes it true.”

Christine:
“The graph of the line passes through the point $(3,-4)$ .”

Which students are correct?
- A. Andrea and Bill, only
- B. Bill and Christine, only
- C. Andrea and Christine, only
- D. Andrea, Bill, and Christine
Correct

Incorrect
Question 11 of 24

11. Question
11. It takes Tim 4.5 hours to run 50 kilometers. Which expression will allow him to change this rate to minutes per mile?
- A. $\frac{4.5 hr}{50 km} \centerdot \frac{1.609 km}{1 mi} \centerdot \frac{60 min}{1 hr}$
- B. $\frac{50 km}{4.5hr} \centerdot \frac{1 mi}{1.609km} \centerdot \frac{60 min}{1 hr}$
- C. $\frac{50km}{4.5hr} \centerdot \frac{1mi}{1.609km} \centerdot \frac{1hr}{60min}$
- D. $\frac{4.5 hr}{50 km} \centerdot \frac{1.609 km}{1 mi} \centerdot \frac{1 hr}{60 min}$
Correct

Incorrect
Question 12 of 24

12. Question
12. Which system of linear equations has the same solution as the one shown below?

$x - 4y = -10$

$\large{x + y = 5}$
- A. $5x=10$
  $\ x+y=5$
- B. $-5y = -5$
  $\ x+y=5$
- C. $-3x = -30$
  $\ x+y=5$
- D. $-5y = -5$
  $\ x- 4y = -10$
Correct

Incorrect
Question 13 of 24

13. Question
13. Donna and Andrew compared their math final exam scores from grade 8 through grade 12. Their scores are shown below.

Which statement about their final exam scores is correct?
- A. Andrew has a higher mean than Donna.
- B. Donna and Andrew have the same median.
- C. Andrew has a larger interquartile range than Donna.
- D. The 3rd quartile for Donna is greater than the 3rd quartile for Andrew.
Correct

Incorrect
Question 14 of 24

14. Question
14. Which expression is equivalent to $2(x^2 - 1) + 3x(x - 4)$ ?
- A. $5x^2 - 5$
- B. $5x^2 - 6$
- C. $5x^2 - 12x - 1$
- D. $5x^2 - 12x - 2$
Correct

Incorrect
Question 15 of 24

15. Question
15. What is the solution to $\frac{3}{2}b+5<17$ ?
- A. b < 8
- B. b > 8
- C. b < 18
- D. b > 18
Correct

Incorrect
Question 16 of 24

16. Question
16. What is a common ratio of the geometric sequence whose first term is 5 and third term is 245?
- A. 7
- B. 49
- C. 120
- D. 240
Correct

Incorrect
Question 17 of 24

17. Question
17. In the equation $A = P(1 \pm r)^t$ , $A$ is the total amount, $P$ is the principal amount, $r$ is the annual interest rate, and $t$ is the time in years. Which statement correctly relates information regarding the annual interest rate for each given equation?
- A. For $A = P(1.025)^t$ , the principal amount of money is increasing at a 25% interest rate
- B. For $A = P(1.0052)^t$ , the principal amount of money is increasing at a 52% interest rate.
- C. For $A = P(0.86)^t$ , the principal amount of money is decreasing at a 14% interest rate.
- D. For $A = P(0.68)^t$ , the principal amount of money is decreasing at a 68% interest rate.
Correct

Incorrect
Question 18 of 24

18. Question
18. Which type of function is shown in the graph below?
- A. linear
- B. exponential
- C. square root
- D. absolute value
Correct

Incorrect
Question 19 of 24

19. Question
19. Four quadratic functions are shown below.

Which statement is true?
- A. The maximum of $f(x)$ is less than the maximum of $j(x)$ .
- B. The maximum of $g(x)$ is less than the maximum of $h(x)$ .
- C. The maximum of $f(x)$ equals the maximum of $g(x)$ .
- D. The maximum of $h(x)$ equals the maximum of $j(x)$ .
Correct

Incorrect
Question 20 of 24

20. Question
20. The length of a rectangular patio is 7 feet more than its width, $w$ . The area of a patio, $A(w)$ , can be represented by the function
- A. $A(w) = w + 7$
- B. $A(w) = w^2 + 7w$
- C. $A(w) = 4w + 14$
- D. $A(w) = 4w^2 + 28w$
Correct

Incorrect
Question 21 of 24

21. Question
21. Which expression is not equivalent to $(5^{2x})^3$ ?
- A. $(5^x)^6$
- B. $(5^{3x})^2$
- C. $(5^5)^x$
- D $(5^2)^{3x}$
Correct

Incorrect
Question 22 of 24

22. Question
22. The value of $x$ that satisfies the equation $\frac{4}{3}=\frac{x+10}{15}$ is
- A. – 6
- B. 5
- C. 10
- D. 30
Correct

Incorrect
Question 23 of 24

23. Question
23. Which expression is equivalent to $x^2 + 5x - 6$ ?
- A. $(x + 3)(x- 2)$
- B. $(x + 2)(x - 3)$
- C. $(x - 6)(x + 1)$
- D. $(x + 6)(x - 1)$
Correct

Incorrect
Question 24 of 24

24. Question
24. If $a_1 = 6$ and $a_n = 3 + 2(a_{n - 1})^2$ , then $a_2$ equals
- A. 75
- B. 147
- C. 180
- D. 900
Correct

Incorrect

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