Fall Semester Exam Review 2015 1 1 1. Solve (3x 6) (8x 4) 16 for x. 3 4 1 1 2. Solve (10a 8) (10a 5) 10for a. 2 5 A. a = 1 B. a = -1 C. a = 6 D. a = -6 3. Write the equation of a line that is parallel to the line 1 y x 5 and passes through 3 the point (6, -8)? 4. What is the equation of a line that is perpendicular to the line y 5x 4 and passes through the point (10, 2)? 1 1 A. y x C. y x +4 5 5 B. y 5x D. y 5x 4 5. Solve 3 2x 4 10 6. Solve 6 2x 5 13 A. -1, 7 B. 1, 7 C. 1 D. 7 7. Sam solved the following absolute value equation, circle the line where he made an error. 2x 1 5 Line 1 5 2x 1 5 Line 2 6 2x 4 Line 3 3 x 2 8. Sally solved the following absolute value equation, circle the line where she made an error. 2x 5 x 1 Line 1 2x 5 x 1and2x 5 x 1 Line 2 2x x 6and2x x 4 Line 3 x 6andx 2 9. Write the equation of the absolute value function that has been translated 5 units right and 3 units up. 10. Franco transformed the absolute value parent function by shifting 2 units left and 3 units down. Which of the following represents the transformation? A. f ( x) x 2 3 C. f ( x) x 2 3 B. ( x) x 2 3 f f ( x) x 2 3
11. Mrs. Peggy drives to work in Houston traffic. Her average drive time is 35 minutes but can vary by 10 minutes depending on the traffic conditions. Write an equation to determine the shortest and longest average drive time? 12. Matthew can complete his defensive driving courses online. His average online time is 20 minutes but can vary by 7 minutes depending on the length of the video. Which equation can be used to determine the shortest and longest length of the defensive driving course? A. x 20 7 C. x 20 7 B. x 7 20 D. x 7 20
Unit 3 and 4 Review Solve the following systems of equations. 1. 2. Solve each equation by factoring. 3. 3x 2 + 2 = 5x 4. 18x 2 + 36x + 16 = 0 Solve each equation by Graphing 5. x 2 7x = 18 6. x 2 = 3x 54 Set up and solve the system of equations for the following. 7. Pat picked strawberries on three days. He picked a total of 87 quarts. On Tuesday(t) he picked 15 quarts more than on Monday(m). On Wednesday(w), he picked 3 quarts fewer than on Tuesday. How many quarts did he pick each day? 8. Ian has a total of 225 on three tests. The sum of the scores on the first (f) and second (s) tests is the same as his third (t) test plus 61 points. His first score is 6 points higher than his second test. What did Ian score on each test?
Graph the solution set for each system of linear inequalities. 9 10 State a solution for the system. 11 Identify the shape formed by the solution set. 9. y 0 10. x 5 11. x > 0 2x y 4 3x y 2 2x + 3y 12 y > 0 y < 2 Find the solution(s) to each System of Equations. State the quadrants the solutions occur in. 12. 13. Find the equation that best shows the relationship between the year and the price. Predict the price after 15 years. 14. Find the equation that best shows the relationship between the time and the height. Predict the height after 3 seconds. 15. Time (s) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Height (ft) 3.04 5.76 8.16 10.24 12 13.44 14.56
1. f(x) = x 2 + 6x + 9 Units 5 and 6 A. Write your equation in vertex form. B. From the quadratic parent function, identify the following: A. Vertex B. State if there is a reflection over the x axis C. Identify any vertical translation. D. Identify any horizontal translation. E. Identify any vertical stretch or compression and by what factor. C. Graph your function. 2. y = x 2 4 A. Write your equation in vertex form. B. From the quadratic parent function, identify the following: A. Vertex B. State if there is a reflection over the x axis C. Identify any vertical translation. D. Identify any horizontal translation. E. Identify any vertical stretch or compression and by what factor. C. Graph your function. 3. f(x) = 5x 2 10x + 5 A. Write your equation in vertex form. B. From the quadratic parent function, identify the following: A. Vertex B. State if there is a reflection over the x axis C. Identify any vertical translation. D. Identify any horizontal translation. E. Identify any vertical stretch or compression and by what factor. C. Graph your function.
Units 5 and 6 Graph the quadratic inequalities. 4. y x 2 + 3x 5 5. y > ½x 2 + 3x + 5 Solve the following quadratic inequalities. 6. 7. x 2 7x + 10 0 8. 0 > x 2 + 5x 6 9. x 2 + 3x + 10 0 Use the quadratic formula to solve the following equations. 10. 2x 2 + 3x = 4 11. 12x 2 5 = 28x Give the number and type of the solutions of the following quadratics (Use the discriminant) 12. y = -x 2 + 4x 3 13. y = -2x 2 + 3x 7 Find the value(s) of k that makes the quadratic a perfect square trinomial. 14. x 2 + kx + 25 15. x 2 + kx + 49 Simplify. 16. (9x 5x 2 + 7x 3 ) (2x 3 4x 2 + 5x) 17. (x + 3) (x 2 3x + 4) 18. (2r 3 + 5r 2 2r 15) (r 3) 19. (50k 3 + 10k 2 35k 7) (5k 4) 20. y 4 3 2 3y 2y 20 2 y y 5 Describe the effect on the graph of f(x) for the following: 21. f(x) is transformed to 3f(x 2) 7 22. f(x) is transformed to f(x + 7) 23. f(x) is transformed to -2f(x + 3) 24. f(x) is transformed to 3f(x) + 4