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SAT MATH Practice test 6 module 1 all problems
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SAT Practice test 6 Module 1 All problems solved
Content
0:04 - 1. ( p + 3 ) + 8 = 10 What value of p is the solution to the given equation?
1:38 - 2. The scatterplot shows the relationship between two variables, x and y. Which of the following graphs shows the most appropriate model for the data?
3:32 - 3. k^2 − 53 = 91 What is the positive solution to the given equation?
5:10 - 4. During a portion of a flight, a small airplane’s cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?
6:32 - 5. An object was launched upward from a platform. The graph shown models the height above ground, y, in meters, of the object x seconds after it was launched. For which of the following intervals of time was the height of the object increasing for the entire interval?
9: 45 - 6. How many yards are equivalent to 1,116 inches? (1 yard = 36 inches)
11:20 - 7. f( x ) = 14 + 4x The function f represents the total cost, in dollars, of attending an arcade when x games are played. How many games can be played for a total cost of $58?
13:31 - 8. f(x) = x + b
For the linear function f, b is a constant. When x = 0, f(x) = 30. What is the value of b ?
14:45 - 9. P ( t ) = 1,800 (1.02)^t
The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best interpretation of P(0) = 1,800 in this context?
16:45 - 10. A manager is responsible for ordering supplies for a shaved ice shop. The shop’s inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?
20:18 - 11. y Greater than 4X + 8 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
24:32 - 12. Which expression is equivalent to ( x^2 + 11 )^2 + (x - 5 )( x +5 ) ?
28:01 - 13. The function h is defined by h (x) = 8/ (5x + 6). What is the value of h(2) ?
29:51 - 14 . The figure shows the lengths, in inches, of two sides of a right triangle. What is the area of the triangle, in square inches?
31:22 15. The graph models the number of active projects a company was working on x months after the end of November 2012, where 0 ≤ x ≤ 6. According to the model, what is the predicted number of active projects the company was working on at the end of November 2012?
32:47 - 16. The relationship between two variables, x and y, is linear. For every increase in the value of x by 1, the value of y increases by 8. When the value of x is 2, the value of y is. Which equation represents this relationship?
36:44 17. The given equation relates the positive numbers P, N, and C. Which equation correctly expresses C in terms of P and N ?
39:26 - 18. w^2 + 12w − 40 = 0 Which of the following is a solution to the given equation?
44:44 19. The table shown summarizes the number of employees at each of the 17 restaurants in a town. Which of the following could be the median number of employees for the restaurants in this town?
47:20 20. What is the y-coordinate of the y-intercept of the graph of 3x/ 7 = −5y/ 9+ 21 in the xy-plane?
50:07 - 21. The graph of y = 2x^2 + bx + c is shown, where b and c are constants. What is the value of bc ?
56:09 - 22. In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y ?
59:59 23. Circle A is defined by the equation ( x + 2)^2 + y^2 = 9. Circle B is the result of shifting circle A down 6 units and increasing the radius so that the radius of circle B is 2 times the radius of circle A. Which equation defines circle B ?
1:04:29 24. Right triangle ABC is shown. What is the value of tan A ?
1:08:18 - 25. At the time that an article was first featured on the home page of a news website, there were 40 comments on the article. An exponential model estimates that at the end of each hour after the article was first featured on the home page, the number of comments on the article had increased by 190% of the number of comments on the article at the end of the previous hour. Which of the following equations best represents this model, where C is the estimated number of comments on the article t hours after the article was first featured on the home page and t ≤ 4 ?
1:10:44 - 26. The table shows three values of x and their corresponding values of g(x), where g( x ) = f( x ) / (x+3) and f is a linear function. What is the y-intercept of the graph of y = f(x) in the xy-plane?
1:18:00 - 27. In right triangle ABC, angle C is the right angle and BC = 162. Point D on side AB is connected by a line segment with point E on side AC such that line segment DE is parallel to side BC and CE AE = 2 . What is the length of line segment DE ?
Content
0:04 - 1. ( p + 3 ) + 8 = 10 What value of p is the solution to the given equation?
1:38 - 2. The scatterplot shows the relationship between two variables, x and y. Which of the following graphs shows the most appropriate model for the data?
3:32 - 3. k^2 − 53 = 91 What is the positive solution to the given equation?
5:10 - 4. During a portion of a flight, a small airplane’s cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?
6:32 - 5. An object was launched upward from a platform. The graph shown models the height above ground, y, in meters, of the object x seconds after it was launched. For which of the following intervals of time was the height of the object increasing for the entire interval?
9: 45 - 6. How many yards are equivalent to 1,116 inches? (1 yard = 36 inches)
11:20 - 7. f( x ) = 14 + 4x The function f represents the total cost, in dollars, of attending an arcade when x games are played. How many games can be played for a total cost of $58?
13:31 - 8. f(x) = x + b
For the linear function f, b is a constant. When x = 0, f(x) = 30. What is the value of b ?
14:45 - 9. P ( t ) = 1,800 (1.02)^t
The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best interpretation of P(0) = 1,800 in this context?
16:45 - 10. A manager is responsible for ordering supplies for a shaved ice shop. The shop’s inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?
20:18 - 11. y Greater than 4X + 8 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
24:32 - 12. Which expression is equivalent to ( x^2 + 11 )^2 + (x - 5 )( x +5 ) ?
28:01 - 13. The function h is defined by h (x) = 8/ (5x + 6). What is the value of h(2) ?
29:51 - 14 . The figure shows the lengths, in inches, of two sides of a right triangle. What is the area of the triangle, in square inches?
31:22 15. The graph models the number of active projects a company was working on x months after the end of November 2012, where 0 ≤ x ≤ 6. According to the model, what is the predicted number of active projects the company was working on at the end of November 2012?
32:47 - 16. The relationship between two variables, x and y, is linear. For every increase in the value of x by 1, the value of y increases by 8. When the value of x is 2, the value of y is. Which equation represents this relationship?
36:44 17. The given equation relates the positive numbers P, N, and C. Which equation correctly expresses C in terms of P and N ?
39:26 - 18. w^2 + 12w − 40 = 0 Which of the following is a solution to the given equation?
44:44 19. The table shown summarizes the number of employees at each of the 17 restaurants in a town. Which of the following could be the median number of employees for the restaurants in this town?
47:20 20. What is the y-coordinate of the y-intercept of the graph of 3x/ 7 = −5y/ 9+ 21 in the xy-plane?
50:07 - 21. The graph of y = 2x^2 + bx + c is shown, where b and c are constants. What is the value of bc ?
56:09 - 22. In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y ?
59:59 23. Circle A is defined by the equation ( x + 2)^2 + y^2 = 9. Circle B is the result of shifting circle A down 6 units and increasing the radius so that the radius of circle B is 2 times the radius of circle A. Which equation defines circle B ?
1:04:29 24. Right triangle ABC is shown. What is the value of tan A ?
1:08:18 - 25. At the time that an article was first featured on the home page of a news website, there were 40 comments on the article. An exponential model estimates that at the end of each hour after the article was first featured on the home page, the number of comments on the article had increased by 190% of the number of comments on the article at the end of the previous hour. Which of the following equations best represents this model, where C is the estimated number of comments on the article t hours after the article was first featured on the home page and t ≤ 4 ?
1:10:44 - 26. The table shows three values of x and their corresponding values of g(x), where g( x ) = f( x ) / (x+3) and f is a linear function. What is the y-intercept of the graph of y = f(x) in the xy-plane?
1:18:00 - 27. In right triangle ABC, angle C is the right angle and BC = 162. Point D on side AB is connected by a line segment with point E on side AC such that line segment DE is parallel to side BC and CE AE = 2 . What is the length of line segment DE ?
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