A. 16 B. 16 C. 4 D What is the solution set of 4x + 8 > 16?

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1 Algebra II Honors Summer Math Packet 2017 Name: Date: 1. Solve for x: x + 6 = 5x What is the value of p in the equation 8p + 2 = p 10? F. 1 G. 1 H. J.. Solve for x: 15x (x + ) = Solve for y: 5y = 2 y Solve for the positive value of x: x = x + 1. Find the complete solution set of 2x = 8. A. 1 B. 1 2 C. D Solve for the negative value of x: 2x = 1. solve for x: (x 2) + 5 = 2(5x ) 5. What is the value of x in the equation (2x + 1) = 27 + (2x 5)? 15. If x is a positive integer, then the solution set of x + 2 < 1 is A. {1} B. {1, 2} A. 21 B. 9 C D. C. {1, 2, } D. {1, 2,, } 6. What is the value of x in the equation 1x 2(x + ) = 8x + 1? F. 1 G. 2 H. J. 7. What is the value of x in the equation x + 2 = 5 x 6? 16. Which inequality is represented in the accompanying graph? F. < x < 2 G. x < 2 H. < x 2 J. x 2 A. 16 B. 16 C. D. 17. What is the solution set of x + 8 > 16? 8. Which value of x is the solution of the equation x = 15x? 21 A. {x 6 < x < 2} B. {x 2 < x < 6} F. 6 G. 0 H. 1 J C. {x x < 6 or x > 2} D. {x x < 2 or x > 6} 9. Solve for x: 6 = x Solve for x: x = page 1

2 18. Which graph represents the solution set of 2x 1 < 7? 26. What are the roots of the equation x 2 10x + 21 = 0? F G H J F. 1 and 21 G. 5 and 5 H. and 7 J. and The solution set of x 2 2x 8 = 0 is A. {, 2} B. {, 2} C. { 2, 8} D. {6, 2} 19. Solve x + 5 > 1 algebraically for x. 20. Simplify by combining like terms: (5a + b) + 2(a b) 21. Find the sum of a 2 7a 5 and 8a 2 2a The expression (2x 2 + 6x + 5) (6x 2 + x + 5) is equivalent to F. x 2 + x G. x 2 x H. x 2 x + 10 J. x 2 + x Find the sum: (9m 5n + 2) + ( m n 1) + ( 5m + 6n 1) 2. What is the product of 2x + and x 2 5x + 6? 28. What is the solution set of the equation x 2 2x = 0? F. {2, 1} G. {2, 1} H. {, 0} J. {, 1} 29. What is the solutions set of the equation 2x 2 + x = 0? A. C. { 1 2, } { 1 2, } B. D. { 2, 1 } { 2, 1 } 0. What is the solution set of the equation x x + 28 = 0? F. { 7, } G. { 7, } H. {, } J. {, } F. 8x 2x 2 + x + 18 G. 8x 2x 2 x + 18 H. 8x + 2x 2 x + 18 J. 8x + 2x 2 + x What is the solution set of the equation x 2 = 8? A. { 2, 8} B. {2, 8} C. {, } D. {, } 25. The roots of the equation 2x 2 8x = 0 are 2. If f (x) = x 2, find f ( 2). A. 2 and 2 B. 0 and C. 0, 2, and 2 D. 0 and. If f (x) = x, then f ( 1) is equivalent to A. 0 B. 2 C. 2 D. page 2 Algebra II Honors Summer Math Packet 2017

3 . If f (x) = 25 x 2, find the value of f (). 5. If f (x) = x 2 + x 5, find the value of f (). 6. Which diagram is not the graph of a function? F. G. 1. Solve the following system of equations for x: x + y = 21 6x y = 6 2. Which ordered pair is the solution to this system of equations? y = x + x + y = 2 F. (1, 5) G. (0, 2) H. J. H. ( 1, ) J. (, 0). Solve for p in terms of r, s, and t: rp + s = t. Solve for x in terms of b: x b = 2b 7. Which ordered pair is in the solution set of y 2x +? 5. If dx 2 = h, then x is equal to A. (1, ) B. (, 2) C. (0, 5) D. (0, 0) A. h + 2 d B. h 2 d C. h + 2 d D. h d The graph of which inequality is shown in the accompanying diagram? F. x y > 2 G. x + y > 2 H. x y < 2 J. x + y < 2 6. Given the formula P = K 2 W, find the value of P if K = 5 and W =. 7. If a = b2 c, find the value of a when b = 2 2 and c =. 8. If a x + 1 = c, which is an expression for x in x terms of c and a? 9. Solve the following system of equations algebraically and check: x y = 16 y = 1 x 0. Solve the following system of equations algebraically and check: x + 2y = 6 5x y = 28 F. x = c + a G. x = c a H. x = a c J. x = a + c What is the value of the expression a 2 a + 6 when a =? A. 2 B. 9 C. 21 D. 5 page Algebra II Honors Summer Math Packet 2017

4 50. Faith wants to use the formula C(f ) = 5 (f 2) 9 to convert degrees Fahrenheit, f, to degrees Celsius, C(f ). If Faith calculated C(68), what would her result be? F. 20 Celsius G. 20 Fahrenheit H. 15 Celsius J. 15 Fahrenheit 51. The expression 200 is equivalent to 56. Which equation represents line l, shown in the accompanying diagram? F. y = 2x + G. y = 1 2 x + H. y = x J. y = x + 2 A B C D The graph of which equation passes through points (0, 6) and (, 1)? 52. The expression 75 is equal to F. 2 5 G. 5 H. 5 2 J The expression 9 is a number between A. and 9 B. 8 and 9 C. 9 and 10 D. 6 and 7 5. When 72 is expressed in simplest a b form, what is the value of a? F. 6 G. 2 H. J. 8 A. y = 7 x + 6 B. y = 7 x + 6 C. y = 7 x + 6 D. y = 7 x The line x 2y = 12 has F. a slope of 2 G. a slope of 2 and a y-intercept of 6 and a y-intercept of 6 H. a slope of and a y-intercept of 2 J. a slope of and a y-intercept of A line having a slope of passes through the point ( 8, ). Write the equation of this line in slope-intercept form. 55. What is 2 5 expressed in simplest radical form? A. 5 B. 5 5 C. 6 5 D page Algebra II Honors Summer Math Packet 2017

5 60. Graph the following system of inequalities on the set of axes shown below and label the solution set S. y > x + 2 y 2x + 5 page 5 Algebra II Honors Summer Math Packet 2017

CC Algebra. Midterm Review #2

CC Algebra. Midterm Review #2 Name: CC Algebra Date: Midterm Review # 1. It costs $75 per hour plus a $65 service fee to have a home theater system set up for you. Let t represent the number of hours. Which expression represents the