Integrated Reasoning (Questions 21-23)Â
Use the following to answer questions 21 through 23.
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Question 1 of 30
1. Question
Which of these equations represents functions where x is the input and y is the output?
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Question 2 of 30
2. Question
Solve this equation for x.
0.5(5 – 7x) = 8 – (4x + 6)
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Question 3 of 30
3. Question
Which equations has both 4 and -4 as possible values of y?
Select each correct answer.
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Question 4 of 30
4. Question
The graph represents y as a function of x.
Which additional point can be plotted so that the graph continues to represent y as a function of x?
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Question 5 of 30
5. Question
Seven line segments are shown on the coordinate plane. Which of these segments could be the image of segment ABÂ after a sequence of reflections, rotations, and/or translations?
Select each correct answer.
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Question 6 of 30
6. Question
Triangle PQR is shown on the coordinate plane.
Triangle PQR is rotated 90° counterclockwise about the origin to form the image triangle P′Q′R′ (not shown). Then triangle P′Q′R′
is reflected across the x-axis to form triangle P′′Q′′R′′ (not shown).
What are the signs of the coordinates (x, y) of point P′?
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Question 7 of 30
7. Question
Triangle PQR is shown on the coordinate plane.
Triangle PQR is rotated 90° counterclockwise about the origin to form the image triangle P′Q′R′ (not shown). Then triangle P′Q′R′
is reflected across the x-axis to form triangle P′′Q′′R′′ (not shown).
What are the signs of the coordinates (x,y) of point Q′′?
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Question 8 of 30
8. Question
Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation‚ resulting in image lines s and t. Which statement describes the relationship between lines s and t?
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Question 9 of 30
9. Question
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Question 10 of 30
10. Question
Consider the system of equations.
Which statements are true about the system of equations?
Select each correct answer.
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Question 11 of 30
11. Question
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Question 12 of 30
12. Question
Larry and Mark each mow lawns in their neighborhoods. Information about each person’s earnings is shown.
Mark’s Earnings
• Mark earns $60 for mowing 3 lawns.
• Mark earns $300 for mowing 15 lawns.
For both Larry and Mark, the number of dollars earned is proportional to the number of lawns mowed.
Which statement correctly compares the amount of money Larry and Mark each earn per lawn?
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Question 13 of 30
13. Question
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Question 14 of 30
14. Question
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Question 15 of 30
15. Question
The average distance from Earth to the Moon is approximately 384,400,000meters. What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
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Question 16 of 30
16. Question
Which equation could be used to determine w, the width, in feet, of the sandbox?
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Question 17 of 30
17. Question
What is the width, in feet, of the sandbox?
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Question 18 of 30
18. Question
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Question 19 of 30
19. Question
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Question 20 of 30
20. Question
What is the slope of line t?
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Question 21 of 30
21. Question
What is the y-intercept of line t?
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Question 22 of 30
22. Question
Line s (not shown) has the same slope and passes through the point (0, 4).
Which table represents 4 points on line s?
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Question 23 of 30
23. Question
Which equation could represent line s?
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Question 24 of 30
24. Question
What is the volume, in cubic feet, of the cone?
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Question 25 of 30
25. Question
What is the ratio of the cone’s volume to the cylinder’s volume?
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Question 26 of 30
26. Question
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Question 27 of 30
27. Question
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Question 28 of 30
28. Question
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Question 29 of 30
29. Question
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Question 30 of 30
30. Question
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