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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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
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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?
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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 \(f(x) \neq g(x)\) ?
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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?
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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?
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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?
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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?
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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?
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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?
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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?
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Question 12 of 24
12. Question
12. Which system of linear equations has the same solution as the one shown below?
\(x – 4y = -10\)
\(\large{x + y = 5}\)
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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?
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Question 14 of 24
14. Question
14. Which expression is equivalent to \(2(x^2 – 1) + 3x(x – 4)\) ?
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Question 15 of 24
15. Question
15. What is the solution to \(\frac{3}{2}b+5<17\) ?
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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?
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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?
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Question 18 of 24
18. Question
18. Which type of function is shown in the graph below?
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Question 19 of 24
19. Question
19. Four quadratic functions are shown below.
Which statement is true?
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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
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Question 21 of 24
21. Question
21. Which expression is not equivalent to \((5^{2x})^3\)?
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Question 22 of 24
22. Question
22. The value of \(x\) that satisfies the equation \(\frac{4}{3}=\frac{x+10}{15}\) is
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Question 23 of 24
23. Question
23. Which expression is equivalent to \(x^2 + 5x – 6\)?
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Question 24 of 24
24. Question
24. If \(a_1 = 6\) and \(a_n = 3 + 2(a_{n – 1})^2\), then \(a_2\) equals
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