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ACCUPLACER Elementary Algebra Practice Test# 2 The following problems review the concepts that are necessary to be successful on the Elementary Algebra portion of the Accuplacer Test. Work as many problems as you can then check your answers at the bottom of this 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? 1a.___________ b. What is the volume of the cube? 1b.___________ 2. 3 + 2 × 5 – 6 4 × 2.____________ 3. 1 3 – − ⎛ ⎝ ⎜ ⎞ ⎠ ⎟1 4 3.____________ 4. 2a (4a – 5) – 3a (–2a – 5) 4.____________ 5. Which number is largest? Smallest? 5.____________ 1, 3, 10 17 , 8 3, – 1 2 6. Write one equation (do not solve) describing the followi ng: 6.____________ Two numbers differ by 3 and have a product of 12 7. Find the value of y, if x = –3 7.____________ y + 1 = 2 (x – 5) 8. Solve: 1 2x – 5 = 1 3x – 1 8.____________ 9. Solve and graph: 1 < 3x – 2 < 7 9.____________ 10. Multiply: (2t – 3) (t – 9) 10.___________ 11. Factor: x 2 – 8x + 16 11.___________ 12. Factor: 2y 3– 21y 2 + 27y 12.___________ 13. Simplify: –6x 7y6z2 13.___________ –2x 3y4z2 14. Factor: 4a 2 – 25b 2 14.___________ 15. Simplify: 8x6y3 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 Accuplacer - Elementary Algebra Skills - Practice Test# 2 1. (a) 384 (b) 512 2. 41 3. 7/12 4. 14a 2 + 5a 5. Largest 8/3, Smallest -1/2 6. n (n–3) = 12 7. –17 8. 24 9. 1 < x < 3 10. 2t 2 – 21t + 27 11. (x – 4) 2 12. y (2y–3) (y–9) 1 3. 3x 4y2 14. (2a–5b) (2a+5b) 15. 2x 3y y 2 16. 97 17. 2.80 18. See graph Saved C: Placement Test #2 (Microsoft Word)