Math 112 Sample Final 1. Subtract 21 10 2. Simplify 32 4 6 3. Evaluate the expression 5 2x for x 2 4. Write the phrase as a variable expression. Use x to represent “a number” Ten subtracted from twice a number 5. Add 20 4 Page 1 6. Multiply 3 4 2 7. Solve x 8 12 8. Solve 7 x 6 10x 9. Simplify 10. Solve 4x 2 2x 3 43x 5 2x Page 2 11. Multiply 8 3 9 10 12. Write the fraction in simplest form 13. Simplify 123 5 3 2 3 14. Simplify 5 7 6 4 2 3 2 4 3 72 x 2 y 3 36 xy 2 Page 3 15. Simplify the complex fraction 16. Simplify the expression 2 1 5 . Use the order of operations to simplify. 3 6 12 17. Perform the indicated operation 18. Divide 5 1 6 4 1 12 x 6 2 1 5 3 4 0.0063 0.03 . Round the quotient to the nearest thousandth if necessary. Page 4 2 10 7 x 19. Solve the proportion for x , 20. Find the square root 16 49 21. What number is 68% of 120? 22. Graph the linear equation x y 3 Page 5 23. Find the perimeter of the rectangle. 5 cm 7 cm 24. Find the area of the triangle 6m 8m 25. Convert 12 feet to inches. 26. Subtract the polynomials 32x 2 3x 4 15 x 2 x 3 27. Ms. Smith’s class is going to the zoo. She pays a total of $324 for 36 admission tickets. How much does each ticket cost? Page 6 28. Solve x 5 3 12 6 4 29. Write the ratio as a fraction in simplest form: 30. Write The ratio of 900 to 9000. 3 as a decimal. 5 31. Multiply 2x 33x 4 32. Multiply x 5 2 33. Simplify y3 y4 Page 7 34. Simplify 2x 5 35. Simplify 4a b 3ab 2 3 2 2 36. The legs of a right triangle have lengths 35 and 28. Find the length of the hypotenuse. 37. Write the prime factorization of 80. 38. Find the sales tax paid on a $25.50 purchase if the sales tax rate is 8.5%. Round to the nearest percent. Page 8 39. Of the 12,360 freshmen entering County College, 2000 are enrolled in prealgebra. Find the percent of entering freshmen who are enrolled in prealgebra. Round to the nearest whole percent. 40. On a road map of Texas, 0.75 inch represents 80 miles. The distance from El Paso to Dallas is 1025 miles. Find the distance between these cities on the map. Round to the nearest tenth of an inch. Page 9