Adv Algebra S1 Final Exam Practice Test Calculator Name Period NOTE: ANY TALKING OR SUSPICIOUS COMMUNICATION DURING OR AFTER THE IN- CLASS FINAL EXAM TEST WILL RESULT IN AN AUTOMATIC GRADE OF 0%. Multiple Choice. In the blank to the left of the statement or question, write the upper-case letter corresponding to the answer that best completes or answers the statement or question. 1. Which of the following equations is a line passing through points ( 4, 1) and (0, 7)? 1 1 = x + 9 = x + 7 = x + 7 = x + 7. Which of the following is a graph of 3x + = 4? 3. Choose the equation that represents a parabola with the following characteristics: Opens down Has a vertex of ( 1, ) = (x 1) = (x + 1) = (x 1) = (x + 1) 4. Find all zeros: f(x) = x 3 x + x. x = x = i, ± x = ±i, x = ±1,. Solve the equation: x 4 x + 4 = 0. x = ±1, ± x = ±i, ± x = ±1, ±i x = ±i, ±i page 1 PT AA T3
6. Which equation is graphed at right? = (x + ) 1 = (x ) 1 = 1 ( x + ) 1 = 1 ( x ) 1 7. Identif the vertex and -intercept of the graph of the function = 3x 1x + 13. Vertex: (, 1), -intercept: 13 Vertex: (, 49), -intercept: 13 Vertex: (, 1), -intercept: 13 Vertex: (, 49), -intercept: 13 8. Which equation is graphed at right? = x 3 = x + 3 = x + 3 = x + + 3 9. Which of the following graphs represents the inequalit x + 3 < 9? page PT AA T3
10. Which sstem of equations is graphed? < x + > x + 1 > x + > x + 1 > x + < x + 1 < x + < x + 1 11. Which sstem of inequalities is graphed at right? > x + 1 x + 4 < x + 1 x + 4 > x + 1 x + 4 < x + 1 x + 4 page 3 PT AA T3
Term One Practice Test (No Calculator) PT AA T3 Name Period NOTE: ANY TALKING OR SUSPICIOUS COMMUNICATION DURING OR AFTER THE IN- CLASS FINAL EXAM TEST WILL RESULT IN AN AUTOMATIC GRADE OF 0%. Multiple Choice. In the blank to the left of the statement or question, write the upper-case letter corresponding to the answer that best completes or answers the statement or question. 1. What is the correct list of possible rational zeros for f(x) = 3x 3 x +? 1 3 1 ± 1, ± 3, ±, ± ± 1, ± 3, ±, ± 3 3 1 1 3 ± 1, ±, ±, ± ± 1, ±, ±, ± 3 3 13. Find all real zeros of the graph of = x 3 + 3x 4x 1.,, 3 3,, 1,,, 3 1, 3,, 14. Which of the following is a factor of x + 8x + 16? (x 4) (x + 4) (x + 8) (x + 16) 1. What is the vertex and axis of smmetr of the graph? vertex: ( 3, ) axis of smmetr: = vertex: ( 3, ) axis of smmetr: = 3 vertex: (, 3) axis of smmetr: = vertex: (, 3) axis of smmetr: = 3 16. Solve the equation: (x + ) x = (x + 1) 1 1 1 0 page 4 PT AA T3
17. What is the quotient of (3x 3 + 7x + ) (x + 1)? 3x + 10x + 10, R 1 3x 4x 4, R 9 3x 10x + 10, R 1 3x + 4x 4, R 9 18. Find the zeros of f(x) = (x ) 4 (x + 6)., multiplicit of 4; 6, multiplicit of, multiplicit of 4;, multiplicit of 6 4, multiplicit of ; 6, multiplicit of 4, multiplicit of,, multiplicit of 6 19. Solve the equation: x + 1x + 61 = 0. 1, 11 6 ± i 6 ± 97 6 ± i 61 0. Solve the equation: 4x + 4x 3 = 0. x =, x = 7 4 7 x =, x = x x 3 1 =, x = 7 =, x = 1. Describe the end behavior of the graph of f(x). =, = x =, x =, x =, x = x = x = x x. Classif the polnomial x 4x + b degree. cubic quadratic quartic quintic 3. Which of the following is a factor of 3x x 4? (3x 4) (3x + 4) (3x 1) (3x + 1) 4. The zeros of a polnomial function f(x) are 4, 0 and. The leading coefficient is 1. What polnomial is this in standard form? f(x) = x 3 x 8x f(x) = x 3 + x 8x f(x) = x 3 4x 8x f(x) = x 3 + 6x 8x. Solve 4(x 1) = 8. 1+ 7 1+ 7 1± 7 1± 7 6. Solve the following sstem of equations to find the value of x: x = x = 3 x = 3 x = x = 1 x = 13 7. 3x = 3 Solve the following sstem of equations: x 4 = 14 (1, 4) (4, 1) (1, 4) ( 4, 1) page PT AA T3
8. Which equation represents a line with a slope of 3 and goes through the point (1, )? = 3x + 8 = 3x = 3x 8 = 3x + 8 9. 30. 31. 3. 33. 34. Write in standard a + bi form: (3 6i)(9 4i). 1 66i 3 + 66i 3 4i 3 66i Given f(x) = x + 3x, find f( ). 7 3 1 Write in standard a + bi form: (3 i) (9 + 4i). 6 6i 6 + i 1 6i 1 + i Which equation represents a line that passes through the point (, 7) and is parallel to the line = x + 1? 1 = (x 7) = ( x 7) 1 7 = (x ) 7 = ( x ) x 3 > 6 What point is a solution of the sstem of inequalities:? x + 4 3 (0, 0) (0, ) (10, 0) (0, ) Which graph represents a sstem of equations with no solutions? 3. Evaluate (x + 1) + 3x when x =. -4 3 1 page 6 PT AA T3
36. Which of the following is NOT the graph of a function? 37. Which inequalit is the solution of 4( x + ) < 4? x > x > x < x < 38. Solve x + = 1. x = 10 or x = 10 x = 14 or x = 14 x = 14 or x = 10 x = 10 or x = 14 39. 40. 41. 4. Mr. Geist s class is tring to raise mone for a trip to a private chemistr laborator. The entrance fee for all of the students is a fee of $4000, and each student s plane ticket will cost $300. As a result, students are hoping to raise at least $14,000. Which of the following inequalities represents this scenario? 300 + 4000x 14000 300x + 4000 14000 300 + 4000x 14000 300x + 4000 14000 Mr. Schumann has some one dollar bills and some five dollar bills in his wallet. He counts them up and notices he has 10 bills. When he figures out how much mone he has, it comes to $7. Which sstem of equations can be used to find the number n of one dollar bills and f of five dollar bills? n + f = 7 n + f = 7 n + f = 10 n + f = 10 n + f = 10 n + f = 10 n + f = 7 n + f = 7 Which ordered pair is a solution of the following sstem of equations: x + 6 = 9 and x 8 =? (3, 1) (3, 1) (3, 1) ( 3, 1) The Wichman Manufacturing Corporation calculates its revenue R, in millions of dollars, based on c, the number of computers it manufactures, with the following formula R = 4x + 8x + 1. Find the Wichman Manufacturing Corporation s maximum revenue. $1 million $ million $8 million $16 million page 7 PT AA T3
43. 44. 4. Walker Office Suppl is designing paper with the area to be 99 square inches. The paper area is modeled b the equation 99 = x x. What vaue of x is closest to giving the specified area of the paper? 9 10 11 1 The temperature of freezing water in degrees Celsius is 0 C, while the temperature in degrees Fahrenheit for freezing water is 3 F. The temperature of boiling water in degrees Celsius is 100 C, while the temperature of boiling water in degrees Fahrenheit is 1 F. If the relationship between degree Celsius C and the temperature of degrees Fahrenheit F is linear, which equation models this relationship? 9 F 1 = ( C 100) F 1 = ( C 100) 9 9 F 100 = ( C 1) F 100 = ( C 1) 9 Mr. Geist is making explosives for the United States Arm. He needs to make a total of at least 30 explosives. At least 10 of these explosives must be RDX. No more than 1 of these explosives can be mercur fulminate. Let x be the explosives made of RDX, and let be the explosives made of mercur fulminate. Which of the following graphs would represent this scenario with the black area containing the solutions? page 8 PT AA T3