Tham khảo tài liệu 'practist gmat 10', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | -------------------------------- ACT MATH TEST PRACTICE ---------------------- 8. Choice i is correct. - 3x 5 2 - 3x 5 3x 5 - 3x 5 3x 5 - 9x2 15x 15x 25 - 9x2 30x 25 -9x2 - 30x - 25 9. Choice b is correct. Recall that the sum of the angles in a triangle is 180 . 180 111 2x x 180 111 3x 69 3x 23 x The problem asked for the measure of ÁRST which is 2x. Since x is 23 2x is 46 . 10. Choice j is correct. Substitute the given values into the equation and solve for h. A 1h b1 b2 28 1h 3 5 28 2h 8 28 4h h 7 The altitude is 7 cm. 11. Choice e is correct. Solve the first equation for m. 9m - 3 -318 9m -315 m -35 Then substitute value of m in 14m. 14 -35 -490 12. Choice j is correct. x 7 - 8 14 x 7 22 22 and -22 both equal 22. Therefore x 7 can be 22 or -22. x 7 22 x 7 -22 x 15 x -29 -29 15 139 --------------------------------- ACT MATH TEST PRACTICE ---------------------------------------------- 13. Choice d is correct. Find the equation of the line containing 2 -3 and 6 1 . First find the slope. Y1 -yi 1 - -3 4 1 x2 - Xi 6 - 2 4 Next find the equation of the line. y - y1 m x - x1 y - 1 1 x - 6 y-1 x-6 y X - 5 Substitute the ordered pairs into the equations. The pair that makes the equation true is on the line. When 7 2 is substituted into y X - 5 the equation is true. 5 7 - 2 is true. 14. Choice f is correct. Triangle MNP is a 3-4-5 right triangle. The height of the triangle is 4 and the base is 3. To find the area use the formula A y-. A -i 6. The area of the triangle is 6 square inches. 15. Choice d is correct. Find the total area of the circle using the formula A nr2. A n 6 2 36n A circle has a total of 360 . In the circle shown 35 are NOT shaded so 325 ARE shaded. The fraction of the circle that is shaded is Ho. Multiply this fraction by the total area to find the shaded area. 36n 325 _ 11 700n _ 65n 1 x 360 360 2 . 16. Choice g is correct. f g x f -2x - 1 Replace every x inf x with -2x - 1 . f g x 3 -2x - 1 2 f g x -6x - 3 2 f g x -6x - 1 17. Choice a is correct log464
