PERT Practice Test #2

Class: Date: PERT Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Ê 1. What is the quotient of 6y 6 9y 4 + 12y 2 ˆ Ê 3y 2 ˆ? a. 2y 4 + 3y 2 + 4 b. 2y 4 3y 2 + 4 c. 2y 4 3y 2 4 d. 2y 4 + 3y 2 4 Ê 2. What is the quotient of 3x 2 ˆ 9x ( 3x)? a. x + 3 b. x 3 c. x 3 d. x 9 Ê 3. What is the quotient of 16z 2 ˆ 20z ( 4z)? a. 4z 5 b. 4z + 5 c. z d. 9z Ê 4. What is the quotient of 2n 2 ˆ + 11n 6 ( n + 6)? a. n 2 b. n + 2 c. 2n + 1 d. 2n 1 5. Solve by substitution: 3x + 2y = 4 y = 4x 2 a. Ê Ë Á 0, 2 ˆ b. no solution c. Ê 2, 6 ˆ d. ( 1, 1 2 ) 1

What is the solution of the system? Use elimination. 6. 5x + 4y = 2 x 4y = 14 a. (3, 4.3) b. ( 3, 2) c. (2, 3) d. (4, 1) Graph the inequality. 7. 3x 7y < 21 a. c. b. d. 2

Which inequality represents the graph? 8. a. y 3x + 4 b. y 3x + 4 c. y 3x 4 d. y 3x 4 9. Evaluate u + xy, for u = 18, x = 10, and y = 8. a. 188 b. 36 c. 98 d. 224 10. Evaluate u z + xy 2, for u = 20, x = 4, y = 7, and z = 10. a. 294 b. 198 c. 900 d. 786 What is the solution of the equation? 11. 3x 9 5x = 7 a. 3 b. 0 c. 1 d. 2 What is the solution of the equation? 12. 4x 9 = 5 6x a. 4 b. 1 c. 1 d. 2 What is the solution of the equation? 13. 3p 1 = 5(p 1) 2(7 2p) a. 3 b. 0 c. 9 d. 10 14. Which equation has no solution? a. 8 (5v + 3) = 5v 5 c. 3w + 4 w = 5w 2(w 2) b. 3m 6 = 5m + 7 m d. 7y + 9 = 7y 6 3

What are the solutions of the inequality? 15. 12x 3x + 11 > 4x (17 9x) a. x > 7 b. x < 7 c. x < 14 11 d. x > 14 11 What are the solutions of the inequality? 16. 10x 10 7x 3x 2 a. x 8 c. all real numbers b. x 8 d. no solution Simplify the product. 17. ( 2h + 5)(5h 2) a. 10h 2 21h + 10 c. 10h 2 29h 10 b. 10h 2 + 21h + 10 d. 10h 2 + 29h 10 Simplify the product. 18. (4x 4)(3x 4) a. 12x 2 28x + 16 c. 12x 2 + 4x 16 b. 12x 2 4x 16 d. 12x 2 + 28x + 16 What is the factored form of the following expressions? 19. d 2 18d + 80 a. (d 8)(d + 10) c. (d 8)(d 10) b. (d + 8)(d + 10) d. (d + 8)(d 10) What is the factored form of the expression? 20. 15x 2 16xy + 4y 2 a. (3x 2y)(5x + 2y) c. (3x + 2y)(5x 2y) b. (3x 2y)(5x 2y) d. (3x + 2y)(5x + 2y) 21. 50x 2 + 80x + 32 a. 2 ( 5x + 4) c. 2 ( 5x 4) b. 2 ( 4x + 5) d. 2 ( 4x 5) 22. Solve 3x 2 + 6x + 1 = 0. If necessary, round your answer(s) to the nearest hundredth. a. There are no solutions. c. x 1.10 or x 10.90 b. x 5.18 or x 6.82 d. x 0.18 or x 1.82 4

23. Graph the linear equation 3x + 6y = 18 by finding the x- and y-intercepts. a. c. b. d. 24. Write an equation, in slope-intercept form, that passes through point Ê 4, 3 ˆ with slope 3. a. y = 3x + 9 c. y = 3x + 9 b. y = 3x 15 d. y = 3x 15 25. Write an equation of the line containing the points Ê Ë Á 6, 19 ˆ and Ê 15, 28 ˆ. a. x y = 13 c. 5x 2y = 52 b. x y = 13 d. 2x 5y = 195 26. Write an equation of the line, in point-slope form, that passes through the points ( 7, 2) and (3, 2). Use ( 7, 2) as the point Ê x 1, y ˆ 1. a. y 2 = 2 5 ( x + 7) c. y 7 = 2 5 ( x + 2) b. y 2 = 5 2 ( x + 7) d. y 7 = 5 2 ( x + 2) 5

27. Which of the following lines is NOT parallel to the line shown in the graph? a. 3x + y = 3 c. 12x + 4y = 9 b. y 3x = 9 d. 3x y = 3 28. Which pair of lines would be perpendicular when graphed? a. y = 3, x = 5 c. y = 2x, y = 1 2 x b. x = 4, y = x d. y = 3, y = x 29. The line y = 2x + 3 is graphed below. Are the lines y = 2x + 3 and 2y 4x = 6 parallel, perpendicular, neither parallel nor perpendicular, or the same line? a. the same line c. perpendicular b. neither parallel nor perpendicular d. parallel 6

30. Solve y = 5 b + 10 for b. 8 a. b = 8 5 y + 16 c. b = 5 8 y 10 b. b = 8 5 y 16 d. b = 5 8 y + 10 7

PERT Practice Test #2 Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: Moderate REF: Algebra 2: 6-2 STA: MA.912.A.4.4 2. ANS: C PTS: 1 DIF: Low REF: Algebra 2: 6-2 STA: MA.912.A.4.4 3. ANS: A PTS: 1 DIF: Low REF: Algebra 2: 6-2 STA: MA.912.A.4.4 4. ANS: D PTS: 1 DIF: Low REF: Algebra 2: 6-2 STA: MA.912.A.4.4 5. ANS: A PTS: 1 DIF: 2 STA: MA.912.A.3.14 TOP: Lesson 7.2 Solve Linear Systems by Substitution KEY: substitution two variables linear solve system MSC: Knowledge 6. ANS: C PTS: 1 DIF: L3 REF: 6-3 Solving Systems Using Elimination OBJ: 6-3.1 To solve systems by adding or subtracting to eliminate a variable STA: MA.912.A.3.14 MA.912.A.3.15 TOP: 6-3 Problem 1 Solving a System by Adding Equations KEY: elimination method MSC: DOK 1 7. ANS: A PTS: 1 DIF: L4 REF: 6-5 Linear Inequalities OBJ: 6-5.1 To graph linear inequalities in two variables STA: MA.912.A.3.5 MA.912.A.3.12 TOP: 6-5 Problem 2 Graphing an Inequality in Two Variables KEY: linear inequality MSC: DOK 1 8. ANS: B PTS: 1 DIF: L3 REF: 6-5 Linear Inequalities OBJ: 6-5.1 To graph linear inequalities in two variables STA: MA.912.A.3.5 MA.912.A.3.12 TOP: 6-5 Problem 5 Writing an Inequality From a Graph KEY: linear inequality MSC: DOK 2 9. ANS: C PTS: 1 DIF: L3 REF: 1-2 Order of Operations and Evaluating Expressions OBJ: 1-2.2 To use the order of operations to evaluate expressions TOP: 1-2 Problem 3 Evaluating Algebraic Expressions KEY: power exponent base simplify evaluate MSC: DOK 1 10. ANS: B PTS: 1 DIF: L4 REF: 1-2 Order of Operations and Evaluating Expressions OBJ: 1-2.2 To use the order of operations to evaluate expressions TOP: 1-2 Problem 3 Evaluating Algebraic Expressions KEY: power exponent base simplify evaluate MSC: DOK 1 11. ANS: C PTS: 1 DIF: L3 REF: 2-3 Solving Multi-Step Equations OBJ: 2-3.1 To solve multi-step equations in one variable STA: MA.912.A.3.1 MA.912.A.3.5 TOP: 2-3 Problem 1 Combining Like Terms MSC: DOK 1 1

12. ANS: D PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: 2-4.1 To solve equations with variables on both sides STA: MA.912.A.3.1 MA.912.A.3.2 MA.912.A.10.3 TOP: 2-4 Problem 1 Solving an Equation With Variables on Both Sides MSC: DOK 1 13. ANS: A PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: 2-4.1 To solve equations with variables on both sides STA: MA.912.A.3.1 MA.912.A.3.2 MA.912.A.10.3 TOP: 2-4 Problem 3 Solving an Equation With Grouping Symbols MSC: DOK 1 14. ANS: D PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: 2-4.2 To identify equations that are identities or have no solution STA: MA.912.A.3.1 MA.912.A.3.2 MA.912.A.10.3 TOP: 2-4 Problem 4 Identities and Equations With No Solution MSC: DOK 1 15. ANS: B PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step Inequalities OBJ: 3-4.1 To solve multi-step inequalities STA: MA.912.A.3.4 MA.912.A.3.5 TOP: 3-4 Problem 4 Solving an Inequality With Variables on Both Sides MSC: DOK 1 16. ANS: D PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step Inequalities OBJ: 3-4.1 To solve multi-step inequalities STA: MA.912.A.3.4 MA.912.A.3.5 TOP: 3-4 Problem 5 Inequalities With Special Solutions MSC: DOK 1 17. ANS: D PTS: 1 DIF: L3 REF: 8-3 Multiplying Binomials OBJ: 8-3.1 To multiply two binomials or a binomial by a trinomial STA: MA.912.A.4.2 TOP: 8-3 Problem 1 Using the Distributive Property KEY: multiplying binomials MSC: DOK 1 18. ANS: A PTS: 1 DIF: L3 REF: 8-3 Multiplying Binomials OBJ: 8-3.1 To multiply two binomials or a binomial by a trinomial STA: MA.912.A.4.2 TOP: 8-3 Problem 3 Using FOIL KEY: multiplying binomials MSC: DOK 1 19. ANS: C PTS: 1 DIF: L3 REF: 8-5 Factoring x^2 + bx + c OBJ: 8-5.1 To factor trinomials of the form x^2 + bx + c STA: MA.912.A.4.3 TOP: 8-5 Problem 2 Factoring x^2 + bx + c Where b < 0, c > 0 MSC: DOK 1 20. ANS: B PTS: 1 DIF: L4 REF: 8-6 Factoring ax^2 + bx + c OBJ: 8-6.1 To factor trinomials of the form ax^2 + bx + c STA: MA.912.A.4.3 TOP: 8-6 Problem 1 Factoring When ac Is Positive MSC: DOK 1 21. ANS: A PTS: 1 DIF: L4 REF: 8-7 Factoring Special Cases OBJ: 8-7.1 To factor perfect-square trinomials and the differences of two squares STA: MA.912.A.4.3 TOP: 8-7 Problem 5 Factoring Out a Common Factor KEY: perfect-square trinomial MSC: DOK 1 22. ANS: D PTS: 1 DIF: 2 STA: MA.912.A.7.2 TOP: Lesson 10.6 Solve Quadratic Equations by the Quadratic Formula 2

23. ANS: A PTS: 1 DIF: 2 STA: MA.912.A.2.6 MA.912.A.3.8 MA.912.A.3.9 MA.912.A.3.12 MA.912.A.4.5 TOP: Lesson 4.3 Graph Using Intercepts KEY: intercept linear graph MSC: Comprehension 24. ANS: A PTS: 1 DIF: 1 STA: MA.912.A.3.10 TOP: Lesson 5.2 Use Linear Equations in Slope-Intercept Form KEY: equation slope slope-intercept linear point MSC: Knowledge 25. ANS: A PTS: 1 DIF: 2 STA: MA.912.A.3.7 MA.912.A.3.10 TOP: Lesson 5.2 Use Linear Equations in Slope-Intercept Form KEY: equation points line slope-intercept MSC: Comprehension 26. ANS: A PTS: 1 DIF: 1 STA: MA.912.A.3.10 TOP: Lesson 5.3 Write Linear Equations in Point-Slope Form KEY: line point-slope form MSC: Comprehension 27. ANS: A PTS: 1 DIF: 2 STA: MA.912.A.3.10 TOP: Lesson 5.5 Write Equations of Parallel and Perpendicular Lines KEY: line equation parallel MSC: Comprehension 28. ANS: A PTS: 1 DIF: 3 TOP: Lesson 5.5 Write Equations of Parallel and Perpendicular Lines KEY: equation perpendicular MSC: Comprehension 29. ANS: A PTS: 1 DIF: 2 TOP: Lesson 5.5 Write Equations of Parallel and Perpendicular Lines KEY: equation identify parallel perpendicular graph intersect MSC: Knowledge 30. ANS: B PTS: 1 DIF: 1 STA: MA.912.A.3.3 TOP: Lesson 3.8 Rewrite Equations and Formulas KEY: equation solve MSC: Knowledge 3