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TSI Elementary Algebra Practice Test# 2 The following problems are representative of Elementary Algebra concepts covered on the TSI Exam. You will also be asked questions about graphs of linear and quadratic equations and inequalities. Work as many problems as you can then check your answers at the bottom of the page. For additional assistance contact the Tutorial Services Lab at the Mission del Paso Campus. 1. Given a cube whose sides are 8 inches each: a. What is the surface area of the cube? b. What is the volume of the cube? 2. 3 + 2 1. a.___________ b.___________ 5–6 4 1 4 3.____________ 4. 2a (4a – 5) – 3a (–2a – 5) 4.____________ 3. 1 – 3 2.____________ 5. Which number is largest? Smallest? 1, 3, 10 , 17 5.____________ 8 1 , – 3 2 6. Write one equation (do not solve) describing the following: Two numbers differ by 3 and have a product of 12 7. Find the value of y, if x = –3 6.____________ 7.____________ y + 1 = 2 (x – 5) 8. Solve: 1 1 x–5= x–1 2 3 8.____________ 9. Solve and graph: 1 < 3x – 2 < 7 9.____________ 10. Multiply: (2t – 3) (t – 9) 10.___________ 11. Factor: x2 – 8x + 16 11.___________ 12. Factor: 2y3– 21y2 + 27y 12.___________ 6x 7 y 6 z 2 13. Simplify: 2x3 y4 z2 13.___________ 14. Factor: 4a2 – 25b2 14.___________ 15. Simplify: 6 8x y 3 15. ___________ 16. Solve: You have earned grades of 75, 81 and 83 on your first three exams. What grade must you earn on the fourth exam to have an average grade of 84? 16.___________ 17. The price of a watermelon varies directly with its weight. If a 30 pound watermelon sells for $4.20, what is the price of a 20 pound watermelon? 17.___________ 18. Graph: –2x + y = –1 18.___________ Answers to TSI - Elementary Algebra Skills - Practice Test# 2 1. (a) 384 (b) 512 2. 41 3. 7/12 4. 14a2 + 5a 7. –17 8. 24 9. 1 < x < 3 10. 2t2 – 21t + 27 14. (2a–5b) (2a+5b) Saved: Placement Test #2 (elementary Algebra) 15. 2x3y 2y 16. 97 5. Largest 8/3, Smallest -1/2 11. (x – 4)2 12. y (2y–3) (y–9) 17. 2.80 18. See graph 6. n (n–3) = 12 13. 3x4y2