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Question 1 of 20
1. Question
The equations below are linear equations of a system where a, b, and c are positive integers.
ay + bx = c
ay − bx = c
Which of the following describes the graph of at least 1 such system of equations in the standard (x,y) coordinate plane?
I. 2 parallel lines
II. 2 intersecting lines
III. A single line
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Question 2 of 20
2. Question
According to the measurements given in the figure below, which of the following expressions gives the distance, in miles, from the boat to the dock?
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Question 3 of 20
3. Question
The circle graph below shows the distribution of registered voters, by age, for a community. Registered voters are randomly selected from this distribution to be called for jury duty. What are the odds (in the age range: not in the age range) that the first person called for jury duty is in the age range of 25 – 35 years?
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Question 4 of 20
4. Question
The figure below shows the design of a circular stained glass panel on display at Hopewell’s Antique Shop. Seams separate the pieces of the panel. All red triangular pieces shown are congruent and have a common vertex with each adjoining triangular piece. The 2 squares shown are inscribed in the circle. The diameter of the panel is 2 feet.
The design of the stainedglass panel has how many lines of symmetry in the plane of the panel?
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Question 5 of 20
5. Question
The figure below shows the design of a circular stained glass panel on display at Hopewell’s Antique Shop. Seams separate the pieces of the panel. All red triangular pieces shown are congruent and have a common vertex with each adjoining triangular piece. The 2 squares shown are inscribed in the circle. The diameter of the panel is 2 feet.
What is the area of the stainedglass panel, to the nearest 0.1 square foot?
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Question 6 of 20
6. Question
The figure below shows the design of a circular stained glass panel on display at Hopewell’s Antique Shop. Seams separate the pieces of the panel. All red triangular pieces shown are congruent and have a common vertex with each adjoining triangular piece. The 2 squares shown are inscribed in the circle. The diameter of the panel is 2 feet.
Kaya wants to install a new circular stainedglass window in her living room. The design of the window will be identical to that of the panel. The diameter of the new window will be 75% longer than the diameter of the panel. The new window will be how many feet in diameter?
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Question 7 of 20
7. Question
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Question 8 of 20
8. Question
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Question 9 of 20
9. Question
For what value of a would the following system of equations have an infinite number of solutions?
2x – y = 8
6x – 3y = 4a
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Question 10 of 20
10. Question
Marcia makes and sells handcrafted picture frames in 2 sizes: small and large. It takes her 2 hours to make a small frame and 3 hours to make a large frame. The shaded triangular region shown below is the graph of a system of inequalities representing weekly constraints Marcia has in making the frames. For making and selling s small frames and l large frames, Marcia makes a profit of 30s + 70l dollars. Marcia sells all the frames she makes.
The weekly constraint represented by the horizontal line segment containing (9,2) means that each week Marcia makes a minimum of:
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Question 11 of 20
11. Question
Marcia makes and sells handcrafted picture frames in 2 sizes: small and large. It takes her 2 hours to make a small frame and 3 hours to make a large frame. The shaded triangular region shown below is the graph of a system of inequalities representing weekly constraints Marcia has in making the frames. For making and selling s small frames and l large frames, Marcia makes a profit of 30s + 70l dollars. Marcia sells all the frames she makes.
For every hour that Marcia spends making frames in the second week of December each year, she donates $3 from that week’s profit to a local charity. This year, Marcia made 4 large frames and 2 small frames in that week. Which of the following is closest to the percent of that week’s profit Marcia donated to the charity?
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Question 12 of 20
12. Question
Marcia makes and sells handcrafted picture frames in 2 sizes: small and large. It takes her 2 hours to make a small frame and 3 hours to make a large frame. The shaded triangular region shown below is the graph of a system of inequalities representing weekly constraints Marcia has in making the frames. For making and selling s small frames and l large frames, Marcia makes a profit of 30s + 70l dollars. Marcia sells all the frames she makes.
What is the maximum profit Marcia can earn from the picture frames she makes in 1 week?
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Question 13 of 20
13. Question
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Question 14 of 20
14. Question
A formula for finding the value, A dollars, of P dollars invested at i% interest compounded annually for n years is A = P(1 + 0.01i)^{n}. Which of the following is an expression for P in terms of i, n, and A?
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Question 15 of 20
15. Question
If x and y are real numbers such that x > 1 and y < −1, then which of the following inequalities must be true?
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Question 16 of 20
16. Question
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Question 17 of 20
17. Question
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Question 18 of 20
18. Question
What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13 ?
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Question 19 of 20
19. Question
In the equation x^{2} + mx + n = 0, m and n are integers. The only possible value for x is 3. What is the value of m?
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Question 20 of 20
20. Question
The solution set of which of the following equations is the set of real numbers that are 5 units from −3 ?
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