We explain real ACT® questions

ACT Form 72F Math Answer Explanations

Want to see the full ACT 72F Math Answer Explanations? 

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

Explain to me: 



1. If 4/y = 0.4, then y	?

Choice .

1. If 4/y = 0.4, then y ?

Back to top↑



2. A motel manager's costs are 24% higher this year than they had been when the room rate was $60.00. If the room rate had increased by the same percent as the manager's costs, what would the room rate be this year?

Choice .

2. A motel manager’s costs are 24% higher this year than they had been when the room rate was $60.00. If the room rate had increased by the same percent as the manager’s costs, what would the room rate be this year?

Back to top↑



3. Louis earns his regular pay of $10.00 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Louis is paid 12 times his regular pay. How much does Louis earn for a week in which he works 47 hours?

Choice .

3. Louis earns his regular pay of $10.00 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Louis is paid 12 times his regular pay. How much does Louis earn for a week in which he works 47 hours?

Back to top↑



4. 3x^9  5x^9 is equivalent to:

Choice .

4. 3x^9 5x^9 is equivalent to:

Back to top↑



5. The total surface area, T, of any right circular cone with a radius r and a slant height s, such as the cone shown below, can be determined by using the. formula T = pi y^2 + pi rs. If a cone has a 3-inch radius and a 5-inch slant height, what is its total surface area, in square inches?

Choice .

5. The total surface area, T, of any right circular cone with a radius r and a slant height s, such as the cone shown below, can be determined by using the. formula T = pi y^2 + pi rs. If a cone has a 3-inch radius and a 5-inch slant height, what is its total surface area, in square inches?

Back to top↑



6. In the Figure below, C lies on both AE and BD, AB and DE are parallel, and congruent, and 2 angle measures are given. What is the measure of ACB ?

Choice .

6. In the Figure below, C lies on both AE and BD, AB and DE are parallel, and congruent, and 2 angle measures are given. What is the measure of ACB ?

Back to top↑



7. What is the least common denominator of the fractions 4/35, 1/28 and 3/8?

Choice .

7. What is the least common denominator of the fractions 4/35, 1/28 and 3/8?

Back to top↑



8. Which of the following polynomial equations has solutions —2 and 5 ?

Choice .

8. Which of the following polynomial equations has solutions —2 and 5 ?

Back to top↑



9. The combined length of 3 pieces of a board is 60 inches. The lengths of the pieces are in the ratio 3:5:7. What is the length, in inches, of tie longest piece?

Choice .

9. The combined length of 3 pieces of a board is 60 inches. The lengths of the pieces are in the ratio 3:5:7. What is the length, in inches, of tie longest piece?

Back to top↑



10. Zoe programs her calculator to evaluate a linear funttion, but she doesn't say what the function is. When 9 is entered, the calculator displays the value 6. When 12 is entered, the calculator displays the value 8. Which of the following expressions represents what the calculator will display when any number, n, is entered?

Choice .

10. Zoe programs her calculator to evaluate a linear funttion, but she doesn’t say what the function is. When 9 is entered, the calculator displays the value 6. When 12 is entered, the calculator displays the value 8. Which of the following expressions represents what the calculator will display when any number, n, is entered?

Back to top↑



11. Points C(2,5) and D(8,11) lie in the standard (x,y) coordinate plane. What is the midpoint of CD ?

Choice .

11. Points C(2,5) and D(8,11) lie in the standard (x,y) coordinate plane. What is the midpoint of CD ?

Back to top↑



12. A rectangular box that is 1/9 foot deep, 1 foot wide, and 1 foot long has a volume of how many cubic feet?

Choice .

12. A rectangular box that is 1/9 foot deep, 1 foot wide, and 1 foot long has a volume of how many cubic feet?

Back to top↑



13. Which of the following expressions is equal to (3x^2-4x-5)-(-x^2+6x+7) for all real values of x ?

Choice .

13. Which of the following expressions is equal to (3x^2-4x-5)-(-x^2+6x+7) for all real values of x ?

Back to top↑



14. For all positiVe integers a, let if E represent the sentence

Choice .

14. For all positiVe integers a, let if E represent the sentence “a is even” and let P represent the sentence “a is prime.” When a = 22, which of the following statements is true?

Back to top↑



15. |6(-7) + 4(8)| =?

Choice .

15. |6(-7) + 4(8)| =?

Back to top↑



16. In the standard (x,y) coordinate plane, what is the slope of the line 11x + 6y = 3?

Choice .

16. In the standard (x,y) coordinate plane, what is the slope of the line 11x + 6y = 3?

Back to top↑



17. A function g is defined as g(x,y,z)=4xy-3xz^2. What i g(2,4,-3)?

Choice .

17. A function g is defined as g(x,y,z)=4xy-3xz^2. What i g(2,4,-3)?

Back to top↑



18. A family plans to remodel their kitchen. They have a total budget of $45,000 to cover expenses in 6 categories. Not all the budget has been assigned. The budget amounts that have been assigned are shown in the table below. In a circle graph illustrating the 6 budget amounts in the table, what should be the measure of the central angle of the Flooring sector?

Choice .

18. A family plans to remodel their kitchen. They have a total budget of $45,000 to cover expenses in 6 categories. Not all the budget has been assigned. The budget amounts that have been assigned are shown in the table below. In a circle graph illustrating the 6 budget amounts in the table, what should be the measure of the central angle of the Flooring sector?

Back to top↑



19. The amount budgeted for Appliances is the sum of the prices of 5 appliances-1 refrigerator, 1 dishwasher, 1 built-in cooktop, and 2 ovens (1 conventional and 1 microwave). What is the average price per appliance?

Choice .

19. The amount budgeted for Appliances is the sum of the prices of 5 appliances-1 refrigerator, 1 dishwasher, 1 built-in cooktop, and 2 ovens (1 conventional and 1 microwave). What is the average price per appliance?

Back to top↑



20. Suppose a bar graph will be constructed illustrating the amounts of the assigned expenses. The length of the bar for Lighting should be what fraction of the length of the bar for Cabinets?

Choice .

20. Suppose a bar graph will be constructed illustrating the amounts of the assigned expenses. The length of the bar for Lighting should be what fraction of the length of the bar for Cabinets?

Back to top↑



21. Which of the following percents is closest to the percent of the total budget that remains to be assigned?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

21. Which of the following percents is closest to the percent of the total budget that remains to be assigned?

Back to top↑



22. In the figure below, 5 angle measures are given. The angle marked with a measure of y° is an exterior angle. What is the value of y ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

22. In the figure below, 5 angle measures are given. The angle marked with a measure of y° is an exterior angle. What is the value of y ?

Back to top↑



23. What is the area, in square coordinate units, of parallelogram ABCD shown in the standard (x,y) coordinate plane below?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

23. What is the area, in square coordinate units, of parallelogram ABCD shown in the standard (x,y) coordinate plane below?

Back to top↑



24. Right triangle ABC is shown below. The side lengths are given in centimeters. What is tan C?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

24. Right triangle ABC is shown below. The side lengths are given in centimeters. What is tan C?

Back to top↑



25. The system of equations below has 1 solution(a,b). What is the value of b?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

25. The system of equations below has 1 solution(a,b). What is the value of b?

Back to top↑



26. For his job delivering pizzas, Albert uses his own car and buys his own gas. He joined the local station's Frequent Fueler program that earns him points towards free gas each time he buys gas. Points are earned according to the following chart.

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

26. For his job delivering pizzas, Albert uses his own car and buys his own gas. He joined the local station’s Frequent Fueler program that earns him points towards free gas each time he buys gas. Points are earned according to the following chart.

Back to top↑



27. The first 2 rectangles of a sequence of rectangles are shown below. The 1st rectangle is 4 inches long and 1 inch wide. The dimensions of the 2nd rectangle, and of each successive rectangle after the 2nd, are determined by continuing the following pattern: the length is 3 inches longer than the length of the previous rectangle, and the width is 1 inch longer than the width of the previous rectangle. What is the perimeter, in inches, of the 6th rectangle in the sequence?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

27. The first 2 rectangles of a sequence of rectangles are shown below. The 1st rectangle is 4 inches long and 1 inch wide. The dimensions of the 2nd rectangle, and of each successive rectangle after the 2nd, are determined by continuing the following pattern: the length is 3 inches longer than the length of the previous rectangle, and the width is 1 inch longer than the width of the previous rectangle. What is the perimeter, in inches, of the 6th rectangle in the sequence?

Back to top↑



28. Which of the expressions below is a factor of the polynomial 2x^3 + x^2 - 6x ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

28. Which of the expressions below is a factor of the polynomial 2x^3 + x^2 – 6x ?

Back to top↑



29. Shown below, a circular dartboard has 4 sectors (red, white, blue, and green) whose areas are in the ratio of 1:2:3:4, respectively. Brad will throw 1 dart at the dartboard, and it will hit the dartboard at a random point contained in 1 of the sectors. What is the probability that the sector the dart hits is NOT the blue sector?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

29. Shown below, a circular dartboard has 4 sectors (red, white, blue, and green) whose areas are in the ratio of 1:2:3:4, respectively. Brad will throw 1 dart at the dartboard, and it will hit the dartboard at a random point contained in 1 of the sectors. What is the probability that the sector the dart hits is NOT the blue sector?

Back to top↑



30. The dimensions of equilateral triangle ABC are given in centimeters in the figure below. What is the value of y?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

30. The dimensions of equilateral triangle ABC are given in centimeters in the figure below. What is the value of y?

Back to top↑



31. For right triangle LMN below, cos L =17/6. What is sin N?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

31. For right triangle LMN below, cos L =17/6. What is sin N?

Back to top↑



32. When a store sets the price of birdseed at $3.50 per pound, the store sells 2,500 pounds of birdseed eer week. With each $0.25 increase in the $3.50 prie per pound, the store sells 100 pounds less birdseed per week. Let n be the number of $0.25 increases in the price per pound. Which of the following  expresions best represents the dollar amount of the store's weekly sales of birdseed?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

32. When a store sets the price of birdseed at $3.50 per pound, the store sells 2,500 pounds of birdseed eer week. With each $0.25 increase in the $3.50 prie per pound, the store sells 100 pounds less birdseed per week. Let n be the number of $0.25 increases in the price per pound. Which of the following expresions best represents the dollar amount of the store’s weekly sales of birdseed?

Back to top↑



33. The circumference of a circle is 20 cm. What is the length, in centimeters, of the radius of the circle?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

33. The circumference of a circle is 20 cm. What is the length, in centimeters, of the radius of the circle?

Back to top↑



34. You're on a salvage ship in the Pacific Ocean when your ship's sonar locates a shipwreck at an angle of depression of 60, as shown in the figure below. After your ship travels 500 meters on the surface of the water to be directly over the wreck, how many meters down would you have to dive to reach the wreck?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

34. You’re on a salvage ship in the Pacific Ocean when your ship’s sonar locates a shipwreck at an angle of depression of 60, as shown in the figure below. After your ship travels 500 meters on the surface of the water to be directly over the wreck, how many meters down would you have to dive to reach the wreck?

Back to top↑



35. What is the length, in meters, of AC ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

35. What is the length, in meters, of AC ?

Back to top↑



36. The perimeter of 1 of the 25 congruent squares is how many meters?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

36. The perimeter of 1 of the 25 congruent squares is how many meters?

Back to top↑



37. Point M starts at A and is rotated counterclockwise (k)) about P a total of 450°. After the rotation, M is at the same location as which of the following points?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

37. Point M starts at A and is rotated counterclockwise (k)) about P a total of 450°. After the rotation, M is at the same location as which of the following points?

Back to top↑



38. Suppose ABCD is in the standard (x,y) coordinate plane such that BC is on the x-axis, the midpoint of BC is at the origin, A has positive coordinates, and 1 coordinate unit is equal to 1 meter. What are the coordinates of D ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

38. Suppose ABCD is in the standard (x,y) coordinate plane such that BC is on the x-axis, the midpoint of BC is at the origin, A has positive coordinates, and 1 coordinate unit is equal to 1 meter. What are the coordinates of D ?

Back to top↑



39. For what value of x is the equation /3x-9 + 10 = 13 true?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

39. For what value of x is the equation /3x-9 + 10 = 13 true?

Back to top↑



40. Ten years ago, Tara invested $2,000 at 6% interest compounded monthly. Which of the following expressions represents today's value of the investment?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

40. Ten years ago, Tara invested $2,000 at 6% interest compounded monthly. Which of the following expressions represents today’s value of the investment?

Back to top↑



41. Which of the following is the decimal equivalent to 2/7? (Note: A bar indicates a digit pattern that is repeated.)

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

41. Which of the following is the decimal equivalent to 2/7? (Note: A bar indicates a digit pattern that is repeated.)

Back to top↑



42. Ms. Simons made a bar graph of the 20 scores on the last math test, as shown below. Which of the following statements about the mean of the 20 scores is true?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

42. Ms. Simons made a bar graph of the 20 scores on the last math test, as shown below. Which of the following statements about the mean of the 20 scores is true?

Back to top↑



43. To plan orders for a party, a caterer uses the formula P = 64G/S, where P is the number of people, G is the number of gallons of punch, and S is the size of the cups in ounces. Which of the following gives the number of gallons of punch to order for a party of 200 people when 5-ounce cups will be used?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

43. To plan orders for a party, a caterer uses the formula P = 64G/S, where P is the number of people, G is the number of gallons of punch, and S is the size of the cups in ounces. Which of the following gives the number of gallons of punch to order for a party of 200 people when 5-ounce cups will be used?

Back to top↑



44. Linh has $3.67 in quarters ($0.25), dimes ($0.10), nickels ($0,05), and pennies ($0,01). She arranges these coins in rows and notices that there are 5 more dimes than quarters, 1 more nickel than quarters, and 25 more pennies than quarters. How many pennies does Linh have?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

44. Linh has $3.67 in quarters ($0.25), dimes ($0.10), nickels ($0,05), and pennies ($0,01). She arranges these coins in rows and notices that there are 5 more dimes than quarters, 1 more nickel than quarters, and 25 more pennies than quarters. How many pennies does Linh have?

Back to top↑



45. Consider the transformation of the standard (x,y) coordinate plane- that maps each point (x,y) to the point (kx,ky) for a certain positive constant, k. particular, this transformation maps (3,9) to (1,3). This transformation maps (9,24) to which of the following points?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

45. Consider the transformation of the standard (x,y) coordinate plane- that maps each point (x,y) to the point (kx,ky) for a certain positive constant, k. particular, this transformation maps (3,9) to (1,3). This transformation maps (9,24) to which of the following points?

Back to top↑



46. Lindsay is designing a 5-foot-by-8-foot rectangular poster for her art class. She will cover both diagonals of the poster with straight lengths of yellow rope. Which of the following values is closest to the total length, in feet, of the 2 yellow ropes Lindsay will need for the poster?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

46. Lindsay is designing a 5-foot-by-8-foot rectangular poster for her art class. She will cover both diagonals of the poster with straight lengths of yellow rope. Which of the following values is closest to the total length, in feet, of the 2 yellow ropes Lindsay will need for the poster?

Back to top↑



47. Robert writes a check for $20. When he records the check in his check register, he accidentally adds $20 to his balance instead of subtracting $20, which causes a discrepancy between what Robert's check register shows and what it should show, Because of his mistake, Robert's check register shows:

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

47. Robert writes a check for $20. When he records the check in his check register, he accidentally adds $20 to his balance instead of subtracting $20, which causes a discrepancy between what Robert’s check register shows and what it should show, Because of his mistake, Robert’s check register shows:

Back to top↑



48. For a certain location in Grand Canyon National Park, the highest temperature on record is 120°F and the lowest temperature on record is -18°F. Which of the statements below is necessarily true about the temperatures on record for this location?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

48. For a certain location in Grand Canyon National Park, the highest temperature on record is 120°F and the lowest temperature on record is -18°F. Which of the statements below is necessarily true about the temperatures on record for this location?

Back to top↑



49. The graph of y = 2x	 in the standard (x,y) coordinate plane has a vertical asymptote with equation x = ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

49. The graph of y = 2x in the standard (x,y) coordinate plane has a vertical asymptote with equation x = ?

Back to top↑



50. What fraction of a 6-inch-diameter pizza contains the same amount of pizza as 1 slice of a 12-inch-diameter pizza of the same thickness cut into 12 equal slices?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

50. What fraction of a 6-inch-diameter pizza contains the same amount of pizza as 1 slice of a 12-inch-diameter pizza of the same thickness cut into 12 equal slices?

Back to top↑



51. For what real valve of x is true?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

51. For what real valve of x is true?

Back to top↑



52. What are all real values of m, if any, such that any line through the points (3,7) and (3,m) will be vertical when graphed in the standard (x,y) coordinate plane?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

52. What are all real values of m, if any, such that any line through the points (3,7) and (3,m) will be vertical when graphed in the standard (x,y) coordinate plane?

Back to top↑



53. Green Camp and Blue Camp lie on opposite sides of Red Lake. A boat dock is located 1,000 yards from Green Camp. The campers estimated the angles between these 3 locations to be as shown on the map below. Using these estimates, which of the following expressions gives the distance, in yards, between Green Camp and Blue Camp?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

53. Green Camp and Blue Camp lie on opposite sides of Red Lake. A boat dock is located 1,000 yards from Green Camp. The campers estimated the angles between these 3 locations to be as shown on the map below. Using these estimates, which of the following expressions gives the distance, in yards, between Green Camp and Blue Camp?

Back to top↑



54. The graphs of the functions y =f(x) = (x — 3)^2 + 2 and y = g(x) = 1/2 x + 1/2 are shown in the standard (x,y) coordinate plane below. Which of the following is NOT true?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

54. The graphs of the functions y =f(x) = (x — 3)^2 + 2 and y = g(x) = 1/2 x + 1/2 are shown in the standard (x,y) coordinate plane below. Which of the following is NOT true?

Back to top↑



55. When 3 <= x <= 5 and 7 <= y <= 9, the smallest possible	value for 2/(y-x) is:

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

55. When 3 <= x <= 5 and 7 <= y <= 9, the smallest possible value for 2/(y-x) is:

Back to top↑



56. In the standard (x,y) coordinate plane below, 0 is the radian measure of any angle in standard position with the point (r, c) on the terminal side. Which of the following points is on the terminal side of the angle in standard position having radian measure m - 0 ?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

56. In the standard (x,y) coordinate plane below, 0 is the radian measure of any angle in standard position with the point (r, c) on the terminal side. Which of the following points is on the terminal side of the angle in standard position having radian measure m – 0 ?

Back to top↑



57. Which of the following matrices is equal to the matrix product

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

57. Which of the following matrices is equal to the matrix product

Back to top↑



58. In the figure below. BC is parallel to AD. E is the midpoint of A , F is the midpoint of CD, G is the midpoint of AE, and II is the midpoint of ED. The lengths marked are in inches. What is the length of GH in inches?

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

58. In the figure below. BC is parallel to AD. E is the midpoint of A , F is the midpoint of CD, G is the midpoint of AE, and II is the midpoint of ED. The lengths marked are in inches. What is the length of GH in inches?

Back to top↑



59. Suppose that a will be randomly selected from the set {-3, —2, —1, 0, 1} and that b will be randomly selected from the set (-2, -1, 0, 1). What is the probability that ab > 0 ?” width=”300″></a></p>
</p>
<p><span style=Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

59. Suppose that a will be randomly selected from the set {-3, —2, —1, 0, 1} and that b will be randomly selected from the set (-2, -1, 0, 1). What is the probability that ab > 0 ?

Back to top↑



60. Distinct points A, B, C, and D are collinear, and B is between A and C. For D to be between A and C such that AD + DB + BC = AC, which of statements I—IV below must be true? (Note: If B is between A and C, then AB + BC = AC.)

Want to see the full ACT 72F Math Answer Explanations?

Be a “Sponsor Member” to see this and all other answer explanations we have completed thus far in their entirety.

60. Distinct points A, B, C, and D are collinear, and B is between A and C. For D to be between A and C such that AD + DB + BC = AC, which of statements I—IV below must be true? (Note: If B is between A and C, then AB + BC = AC.)

Back to top↑



1
Leave a Reply

avatar
1 Comment threads
0 Thread replies
0 Followers
 
Most reacted comment
Hottest comment thread
1 Comment authors
jet730 Recent comment authors
  Subscribe  
newest oldest most voted
Notify of
jet730
Member
jet730

Why wont the answers pull up?


Scroll Up