Test Booklet. Subject: MA, Grade: 11 Algebra 2 honors sample benchmark questions. Student name:

Transcription

1 Test Booklet Subject: MA, Grade: 11 Student name: Author: Yildiz Kerim School: CENTRAL JERSEY COLLEGE PREP CS Printed: Thursday January 16, 2014

2 1 The graph of a system of linear equations is shown below. Which of the following is the solution to this system of linear equations? A (0, 4) B (8, 1) 2 Greg is going to solve the system of linear equations below. First Equation: 8x 2y = 8 Second Equation: 3x + 3y = 9 Which of the following would Greg NOT use to solve this system of equations? A Solve the second equation for y and then substitute the result into the first equation. B Multiply the first and second equation by -6 to eliminate the y variable. C Solve the first equation for y and then substitute the result into the second equation. D Multiply the first equation by 3 and the second equation by 2 to eliminate the y variable. C (0, -3) D (10, 2) 3 A system of equations is shown below. { y = 2x y = 6x + 4 What is the solution of the system of equations? A ( 2, 1) B ( 1, 1) 2 C ( 1, 1) 2 D (2, 2) Page 1

3 4 Which graph represents the solution of the system of equations below? }}== ==\ensuremath{\left\{\begin{array}{cc} y\; =\; 3 \\ y\; =\; 2x\; -1 \end{array}\right A C B D Page 2

4 5 Use substitution to find the solution for the system of equations. y = 2x + 3 y = 3 Which is the solution for this system? A (-3, -3) B (9, -3) C (0, -3) D (3, -3) 6 What value of y makes the following system of equations true? { 3x + 6y = 12 A 0 B 1 5x + 6y = 4 C 2 D 3 Page 3

5 7 Mr. Viera is the coach of the boys lacrosse team and the girls lacrosse team at school. This year, he ordered boys lacrosse sticks and girls lacrosse sticks for each team. A total of 70 lacrosse sticks were ordered. Let b and g be defined as follows: b = the number of boys lacrosse sticks Mr. Viera ordered g = the number of girls lacrosse sticks Mr. Viera ordered a.) Write an equation in terms of b and g that can be used to show the relationship between the number of boys lacrosse sticks and the number of girls lacrosse sticks Mr. Viera ordered. The cost of each boys lacrosse stick is $22. The cost of each girls lacrosse stick is $25. The total cost of the order was $1630. b.) Using your answer from part (a), write a system of equations that can be used to determine b, the number of boys lacrosse sticks ordered, and g, the number of girls lacrosse sticks ordered. c.) Solve the system of equations you wrote in part (b) to determine the number of boys lacrosse sticks ordered and the number of girls lacrosse sticks ordered. Show or explain how you found your answer. Page 4

6 8 What is the solution to the system of equations below? 3x + 2y = 6 3x + 6y = 18 A (0, 3) B (0, 6) C (1, 2) D (3, 0) Reporting Category 5: Solving and Graphing Quadratic Equations 9 The length of a rectangle is (x + 2) inches. The width of the rectangle is (x + 1) inches. Write an equation that can be used to determine the area (A) of the rectangle in terms of x. What is the value of x if the area of the rectangle is 56 square inches? 10 Use the quadratic equation below to answer this question: What are the solutions to the quadratic equation? x 2 + 3x = 4 A -4, -1 B -4, 1 C 4, -1 D 4, 1 Page 5

7 11 A system of equations is shown below. 3 x + 2 y = 19 2 x y = 1 What is the solution to the system of equations? A x = 1, y = 1 B x = 3, y = 5 C x = 7, y = 1 D x = 19, y = 1 12 What is the solution set of the quadratic equation 8x 2 + 2x + 1 = 0? A { 1, } B { 1 + 2, 1 7 } 13 What is the n th term in the arithmetic series below? C { 1 + 7, 1 } D no real solution A 4n B 3 + 4n C 2n + 1 D 4n 1 14 What is the sum of the infinite geometric series A 1 B ? C 2 D 2.5 Page 6

8 15 What is the value of x in the geometric sequence { x, 2, 1 2, 1 8,...}? A -8 B -2 C 1 4 D The first five terms of a geometric sequence are shown below. 25 2, 125 4, 625 8, , What is the common ratio of the sequence? A 5 2 B 2 5 C 2 5 D 5 2 Page 7 STOP