A2.MidtermRev2015. Algebra 2 Midterm Exam Review Part 1: Multiple Choice (75pts)
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1 Name: UNIT 1 Algebra 2 Midterm Exam Review Part 1: Multiple Choice (75pts) Patterns & Expressions 1. Which of the following is the seventh term in the pattern below? 2. Which of the following is the eighth term in the pattern below? A. 22 B. 40 C. 49 D , 5, 4, 13, 1, 1 2, 1 4, 1 8, 3. Which of the following algebraic expressions represents the pattern in the group of figures below? (1pt) 4. Which of the following expressions represents the number of circles in the nth figure? A. n 2 B. n 11 C. 9 2n D. 11 2n A. 3n B. n + 3 C. n 3 D. n 3 Solving Absolute Value Equations & Inequalities 5. Which of the following is the solution the absolute value equation below? A. h = 15; h = 15 B. h = 5; h = 5 C. h = 5; h = 1 D. h = 1; h = 5 5h 10 = Solve the absolute value equation below. Graph your answer on the number line provided. 2x + 6 < 12
2 UNIT 2 Section 1: Evaluating Functions 7. If f(x) = 2x 2 x 10, then find f( 2). A. 20 B. 0 C. 16 D If f(x) = x 2 + x 3, then find f( 4). A. 9 B. 15 C. 23 D. 17 Section 2: Characteristics of Functions 9. Which of the following relations does not represent a function? A. 10. Which of the following relations does not represent a function? A. B. {( 2, 9), (0, 8), (2, 7)(4, 6)} C. Domain Range B. {( 2, 9), (0, 8), ( 2, 7)(4, 6)} C. Domain Range D. x y D. x y Section 3: Slope of a Line 11. Find the slope of the line passing through the points ( 1, 3) and ( 4, 6). 12. Find the slope of the line passing through the points (2, 5) and (8, 1). A. 1 B. 1 C. 2 D. 2
3 Section 4: Writing Linear Equations 13. Write the equation for the line that goes through the point (5, 2) and has a slope of Write the equation for the line that goes through the point (5, 2) and has a slope of 2 5. A. y = 2 5 x B. y = 2 5 x + 4 C. y = 2 29 x D. y = 2 x Write the equation for the line that goes through the point ( 1, 2) and (3, 2). 16. Write the equation for the line that goes through the point (1, 4) and ( 1, 2). A. y = x + 5 B. y = x + 4 C. y = x + 3 D. y = x + 2
4 Section 5: Graphing Inequalities 17. Which of the following is the solution to the inequality below? 18. Which of the following is the solution to the inequality below? A. 2x 3y 6 A. 3x 2y > 4 B. B. C. C. D. D.
5 Section 6: Graphing Absolute Value Equations 19. Which of the following is the graph of the absolute value equation below? 20. Graph the absolute value equation on the coordinate grid below. y = x y = 2 x A. B. C. D.
6 UNIT 3 Section 1: Solving Systems of Equations by Graphing 21. Solve the system of equations by graphing. 2x + y = 1 3x y = 4 A. B. (1, 1) (3, 5) C. D. (3, 5) (1, 1) 22. Solve the system of equations by graphing. 2x 3y = 9 x + y = 2
7 Section 2: Solving Systems of Equations by Substitution 23. What is the value of x in the system of equations below? 24. Use substitution to solve the system of equations below. y + 3x = 10 2x 5y = 1 7w 4z = 16 z = 3w 1 A. 1 B. 1 C. 3 D. 3 Section 3: Solving Systems of Equations by Elimination 25. Use elimination to find the solution of the system of equations below. 26. What is the value of m in the system of equations below? 5a + 4b = 3 a + 3b = 6 2m + 3n = 1 4m n = 9 A. 1 B. 1 C. 2 D. 2 UNIT 4 Section 1: Factoring Quadratic Equations 27. The expression below represents the area, in square meters, of a rectangle. 28. The expression below represents the area, in square meters, of a rectangle. x 2 8x + 12 Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle? A. (x 3)(x 4) B. (x + 2)(x + 6) C. (x 2)(x 6) D. (x + 3)(x + 4) x 2 9x + 20 Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle? A. (x + 5)(x + 4) B. (x + 2)(x + 10) C. (x 2)(x 10) D. (x 5)(x 4)
8 29. When factored the quadratic x 2 + bx + c equals (x 3)(x + 3). What is the value of c? 30. When factored the quadratic x 2 + bx + c equals (x 6)(x + 6). What is the value of c? A. 9 B. 9 C. 0 D. 3 A. 6 B. 0 C. 36 D. 36 UNIT 5 Section 1: Solving by Factoring 31. Which of the following are the solutions of the quadratic equation below? x 2 x 20 = What are the solutions of the quadratic equation below? x 2 x 6 = 0 A. x = 4; x = 5 B. x = 2; x = 10 C. x = 2; x = 10 D. x = 4; x = 5 Section 2: Writing Equations from Graphs 33. A parabola is graphed on the coordinate grid below. 34. A parabola is graphed on the coordinate grid below Which of the following is the equation of the parabola? Write the equation of the parabola above in vertex form. A. y = 1 3 (x 1)2 + 3 B. y = 3(x 1) C. y = 3(x 1) D. y = 1 3 (x 1)2 + 3
9 Section 3: Graphing in Vertex Form 35. Which of the following is the graph of the equation: y = (x 2) 2 1? A. 36. Which of the following is the equation of the equation: y = (x + 2) 2 + 1? A. B. B. C. C. D. D.
10 Section 4: Converting Between Standard & Vertex Form 37. Rewrite the quadratic equation below in standard form. 38. Which of the following is the quadratic function below written in standard form? y = 2(x 3) 2 8 y = 3(x + 2) 2 6 A. 3x 2 2 B. 3x x 6 C. 3x x + 6 D. 3x x Which of the following is the quadratic function below written in vertex form? y = x 2 2x Rewrite the quadratic equation below in vertex form? y = 2x 2 4x 5 A. y = (x + 1) B. y = (x 1) C. y = (x + 1) 2 2 D. y = (x 1) 2 6 Section 5: Quadratic Formula 41. Find the solutions of the quadratic equation below. Write your answer in simplest radical form. y = 8x 2 12x Which of the following are the solutions of the quadratic equation below? y = 9x 2 + 3x 1 A. 1+ 5, C. 1+ 5, B , D , Section 6: Simplifying Negative Square Roots 43. Which of the following is the expression below in simplest radical form? 44. Write the radical expression below in simplest terms A. 2 3 B. 4 3 C. 2i 3 D. 4i 3
11 Section 7: Operations with Complex Numbers 45. Which of the following is equivalent to the expression below? 46. Which of the following is equivalent to the expression below? (2 + 3i) (5 7i) (2 + i) (7 4i) A i B i C. 5 3i D. 5 3i
12 Part 2: Open Response (25pts) ON YOUR ANSWER SHEET, be sure to answer and label all parts of each question. Do not leave any questions blank. 1. Line q is represented by the equation below. 2. Line q is represented by the equation below. y = 4 3 x 4 y = 5 x a. What is the slope of line q? Show or explain how you got your answer. b. What is the y-intercept of line q? Show or explain how you got your answer. c. What is the x-intercept of line q? Show or explain how you got your answer. A coordinate plane is shown below. Copy the axes and the labels of the cordinate plane exactly as shown onto the grid in your Student Anser Booklet. a. What is the slope of line q? Show or explain how you got your answer. b. What is the y-intercept of line q? Show or explain how you got your answer. c. What is the x-intercept of line q? Show or explain how you got your answer. A coordinate plane is shown below. Copy the axes and the labels of the cordinate plane exactly as shown onto the grid in your Student Anser Booklet. d. On the coordinate grid, graph line q. e. Write an equation of the line that has the same the x-intercept as line q and a slope of 2. Show or explain how you got your answer. d. On the coordinate grid, graph line q. e. Write an equation of the line that has the same the x-intercept as line q and a slope of 2. Show or explain how you got your answer.
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16 5. Solve the quadratic equation below using any method. 3x 2 + 8x = 4 6. Solve the quadratic equation below using any method. 2x 2 5x = 3 7. Solve the quadratic equation below using any method. 4x 2 12x = Solve the quadratic equation below using any method. 5x x = 60
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