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Name_______________________ Review for Assessment January 19, 2016 Multiple Choice: Circle best answer 1. The line represented by the equation 1) has a slope of 2) 2 3) 3 4) 2. The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years? 1) 2) 3) 4) 3. Given the graph of the line represented by the equation by 4 units, the graph of the new line would be shifted 4 units 1) right 3) left 2) up , if b is increased 4) down 4. Dominic graphs the equation by , the new graph will become 1) narrower and open downward 2) narrower and open upward 3) wider and open downward 4) wider and open upward 5. Which expression is equivalent to 1) 2) 3) 4) where a is a positive integer. If Gina multiplies a ? 6. Four expressions are shown below. I II III IV The expression 1) I and II, only 2) II and IV, only 3) I, II, and IV 4) II, III, and IV 7. is equivalent to Which equation represents the axis of symmetry of the graph of the parabola below? 1) 2) 3) 4) 8. What is the domain of 1) all integers 2) all real numbers 3) 4) ? 9. Based on this graph, what are the roots of the equation 1) 8 and 0 2) 2 and 3) 9 and 4) 4 and ? 10. The graph of is shown below. Which set lists all the real solutions of 1) 2) 3) 4) ? 11. What is the common difference in the sequence 1) 2) 3) 4) 12. The roots of the equation 1) and 2) and 3 3) 4) are , , , ? 13. The graph of the equation is shown below. Which statement best describes the change in this graph when the coefficient of multiplied by 4? 1) The parabola becomes wider. 2) The parabola becomes narrower. 3) The parabola will shift up four units. 4) The parabola will shift right four units. 14. When factored completely, the expression 1) 2) 3) 4) is equivalent to 15. Which expression represents 1) 2) 3) 4) 16. What is the fifteenth term of the geometric sequence 1) 2) 3) 4) in simplest form? ? is 17. The diagram below shows the graph of Which diagram shows the graph of 1) 2) 3) 4) 18. The inequality 1) 2) 3) 4) is equivalent to . ? 19. Which representations are functions? 1) 2) 3) 4) 20. I and II II and IV III, only IV, only Which trinomial is equivalent to 1) 2) 3) 4) ? Free Response Questions: Show all work 21. In the equation values of b. , b is an integer. Find algebraically all possible 22. The sum of 23. If 24. Solve for x: 3.3 – x = 3(x – 1.7) and can be expressed as , find the value of . 25. When 5x + 4y is subtracted from 5x – 4y, the difference is 26. The function . is graphed on the set of axes below. On the same set of axes, graph 27. Please graph the given piecewise functions below. 2 x 2 3 x f ( x) 2 2 x 1 3x 1 x 2 28. David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee shop. Write an inequality to represent the number of hours, x, babysitting and the number of hours, y, working at the coffee shop that David will need to work to earn a minimum of $200. David worked 15 hours at the coffee shop. Use the inequality to find the number of full hours he must babysit to reach his goal of $200.