[PDF] Intermediate Algebra PracticeTest# 3 Accuplacer - EPCC.pdf | Plain Text

ACCUPLACER Intermediate Algebra PracticeTest # 3 The following problems are representative of concepts covered in the Intermediate Algebra section of the Accuplacer 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. Simplify: 3223 2 4 yxyx − . 2 3 10 4 xyxy − 1. _____________ 2. Simplify: 32 352 2 2 −+ −+x x xx 2. _____________ 3. Factor completely: ax + ay + 2az + 3x +3y + 6z 3. _____________ 4. Factor completely: 3x 3y2 – 75xy 2 4. _____________ 5. Solve: 8(3x – 5) = 5 (5x + 1) 5. _____________ 6. Solve for W: P = 2L + 2W 6. _____________ 7. Solve: 6 < 3(x + 7) < 18 7. _____________ 2 8. Determine whether (0,0) is a solution of the 8. _____________ system of equations: 8(y – 2) + 2x = -16 5(x – 4) + y = -20 9. Given: -3x + 2y = 18 find the 9. _____________ a) x-intercept b) y-intercept c) slope 10. Write an equation for the line passing through 10. _____________ (-3,1) which has a slope of -2. Saved C: Placement Test # 3 1

11. Write an equation in slope intercept form for the line 11. ______________ passing through (-4,4) and (2, -5). 12. Add: (4x 2 + 3x + 1) + (2x 2 – 3x – 5) 12. ______________ 13. Divide: (3x 3 + 2x 2 – 4x +2) ÷ (x – 4) 13. ______________ 14. Subtract: (3x 2 + 5x – 7) – (4x 2 - 2x +7) 14. ______________ 15. Multiply: (2x + 5) (4x 2 – 3x + 1) 15. ______________ 16. If x = 3, y = 2, and z = -5 evaluate 2x 3yz 2 16. ______________ 17. A right triangle has a hypotenuse of 13 ft. and a leg of 5 ft. 17. ______________ What is the length of the other leg? 18. Simplify: x x xx93 2 2 2− −+ ÷ 186 54 2 −−+ x xx . 6 152 2 2 − − −+ x x xx 18. ______________ 19. Add and simplify, if possible: 3 + 3x 19. ______________ x – 2 2x + 3 20. Solve: | 2x + 3| = |x – 4| 20. ______________ Answers to Review Problems for the Inte rmediate algebra Placement Test # 3 1. 4x 2. 2x-1 3. (A+3)(x+y+2z) 4. 3xy (x-5)(x+5) 5. X = -45 6. W = 2 p-2L 7 . -3 < x < 5 5 x-1 2 8. Yes 9. (A) -6 (B) 9 (C) 3/2 10 . y = -2x - 5 11. Y= -3x – 2 12. 6x 2-4 13. 3x 2+14x+52+ 210 2 x-4 14. –x 2 + 7x-14 15. 8x 3+14x 2-13x+5 16. 2700 17. 12 ft. 18. 2 19. 3x 2+9 20. -7, 1/3 x (x-2)(2x+3) Saved C: Placement Test # 3 2