16. Which inequality best represents the graph below? f. −1.5 > x > −1 g. x ≤ 0 h. −0.5 > x > 0 i. −1.5 < x < 0 j. −1.5 ≤ x ≤ 0 17. Simplify −(6x 4 y 3 ) 2 . a. −36x 6 y 5 b. 36x 2 y c. −36x 8 y 6 d. 36x 8 y 4 e. −36xy 18. If 2x + 3y = 55 and 4x = y + 47, find x − y. f. 28 g. 16 h. 5 i. 12 j. 24 19. Which inequality represents the graph below? a. −4x < 0 b. −20x > 5 c. x < −4 d. −x ≤−4 e. −x < 4 20. Simplify ͙ 3 16x 5 y 4 ෆ . f. 2xy͙ 3 2x 2 y ෆ g. 8x 2 y h. 8xy͙ 3 2 ෆ i. 2xy͙ 3 xy ෆ j. 4x 2 y 2 ͙ 3 x ෆ −40 4 −2−3 −10 1 – ACT MATH TEST PRACTICE– 169 21. The formula to convert Celsius to Fahrenheit is F = ᎏ 5 9 ᎏ C + 32, where F is degrees Fahrenheit, and C is degrees Celsius. What Fahrenheit temperature is equivalent to 63° Celsius? a. 32° b. 95° c. 67° d. 83° e. 47° 22. What are the solutions to the equation x 2 + 8x + 15 = 0? f. {8, 15} g. {0} h. {−5, −3} i. no solution j. {2, 4} 23. If 5k = 9m − 18, then m = ? a. 5k + 18 b. ᎏ 5 9 ᎏ k + 2 c. −9 + 5k d. 5k + 9 e. 9k + 18 24. What is the solution set for 5x − 7 = 5(x + 2)? f. {2} g. {7} h. no solution i. all real numbers j. all positive numbers 25. Simplify ᎏ 4x 2 + x + 11 3 x − 3 ᎏ for all x ≠−3. a. 3x 2 + 11 b. 2x + 1 c. 4x 2 + 12x d. 4x 2 + 10x − 6 e. 4x − 1 – ACT MATH TEST PRACTICE– 170 26. If x = [] and y = [] , find x − y. f. [] g. [] h. [] i. [] j. [] 27. If log 3 x = 2, then x = ? a. 6 b. 9 c. ᎏ 2 3 ᎏ d. 4 e. ᎏ 1 2 ᎏ 28. Simplify ᎏ x x 2 − − 3 9 ᎏ . f. x − 12 g. x − 6 h. x + 3 i. −x 2 − 6 j. x − 3 29. The vertices of a triangle are A(−1, 3), B(3, 0), and C(−2, −1). Find the length of side A ෆ C ෆ . a. ͙15 ෆ b. ͙17 ෆ c. 19 d. 17 e. 3͙6 ෆ 61 25 41 28 −50 −6 −6 18 46 50 66 −24 −10 34 56 – ACT MATH TEST PRACTICE– 171 30. Which of the following equations has a graph that has a y-intercept of 4 and is parallel to 3y − 9x = 24? f. −12x + 4y = 16 g. 9x − 3y = −15 h. 2y = 4x + 8 i. 7y = 14x + 7 j. 3x − 9y = 14 31. At what point do the lines x = 9 and 3x + y = 4 intersect? a. (3, 9) b. ( ᎏ 5 3 ᎏ ,9) c. (−20, −9) d. (9, −23) e. (9, 4) 32. Which of the numbers below is the best approximation of (͙37 ෆ )(͙125 ෆ )? f. 52 g. 4,600 h. 150 i. 66 j. 138 33. What is the solution set of the equation x 2 − 4x − 4 = 2x + 23? a. {−4, 4} b. {−4, 23} c. {1, 11.5} d. {−3, 9} e. {5, 6} 34. If a fair coin is flipped and a die is rolled, what is the probability of getting tails and a 3? f. ᎏ 1 2 ᎏ g. ᎏ 1 1 2 ᎏ h. ᎏ 1 6 ᎏ i. ᎏ 1 4 ᎏ j. ᎏ 1 8 ᎏ – ACT MATH TEST PRACTICE– 172 35. What is ᎏ 1 2 ᎏ % of 90? a. 45 b. 0.045 c. 4.5 d. 0.45 e. 450 36. Between which two integers does ͙41 ෆ lie? f. 5 and 6 g. 8 and 9 h. 4 and 5 i. 7 and 8 j. 6 and 7 37. Mike has 12 bags of shredded cheese to use to make pizzas. If he uses ᎏ 3 4 ᎏ of a bag of cheese for each pizza, how many pizzas can he make? a. 12 b. 24 c. 36 d. 9 e. 16 38. Greene ran the 100-meter dash in 9.79 seconds. What was his speed in kilometers per hour (round to the nearest kilometer)? f. 31 km/h g. 37 km/h h. 1 km/h i. 10 km/h j. 25 km/h 39. Larry has 4 blue socks, 6 red socks, and 10 purple socks in his drawer. Without looking, Larry ran- domly pulled out a red sock from the drawer. If Larry does not put the red sock back in the drawer, what is the probability that the next sock he randomly draws will be red? a. ᎏ 1 4 ᎏ b. ᎏ 1 3 0 ᎏ c. ᎏ 1 5 9 ᎏ d. ᎏ 3 7 ᎏ e. ᎏ 1 6 ᎏ – ACT MATH TEST PRACTICE– 173 40. What is the product of 5 × 10 −4 and 6 × 10 8 ? f. 11 × 10 4 g. 3 × 10 4 h. 1.1 × 10 5 i. 3 × 10 5 j. 5.6 × 10 −4 41. What is the sine of angle B in the triangle below? a. ᎏ 3 4 ᎏ b. ᎏ 3 5 ᎏ c. ᎏ 4 3 ᎏ d. ᎏ 4 5 ᎏ e. ᎏ 5 4 ᎏ 42. Find tan x for the right triangle below. f. ᎏ 5 4 ᎏ g. ᎏ 3 4 ᎏ h. ᎏ 4 3 ᎏ i. ᎏ 6 3 ᎏ j. ᎏ 5 3 ᎏ 4 5 3 x° A B 8 6 C – ACT MATH TEST PRACTICE– 174 . 3 6 ෆ 61 25 41 28 −50 6 6 18 46 50 66 −24 −10 34 56 – ACT MATH TEST PRACTICE– 171 30. Which of the following equations has a graph that has a y-intercept of 4 and is parallel to 3y − 9x = 24? f. −12x + 4y = 16 g 0 17. Simplify −(6x 4 y 3 ) 2 . a. −36x 6 y 5 b. 36x 2 y c. −36x 8 y 6 d. 36x 8 y 4 e. −36xy 18. If 2x + 3y = 55 and 4x = y + 47, find x − y. f. 28 g. 16 h. 5 i. 12 j. 24 19. Which inequality represents. 4x 2 + 12x d. 4x 2 + 10x − 6 e. 4x − 1 – ACT MATH TEST PRACTICE– 170 26. If x = [] and y = [] , find x − y. f. [] g. [] h. [] i. [] j. [] 27. If log 3 x = 2, then x = ? a. 6 b. 9 c. ᎏ 2 3 ᎏ d. 4 e. ᎏ 1 2 ᎏ 28.