Algebra 1 Final Exam Answers

Algebra 1 Fall Final Exam Study Guide Use the graph for questions 1-1 Passes Verkal live test 1. Is the following a Function or Relation? Is it Continuous or Discrete? 2. What is f(1) ? -5 -5 3. For which value of x does f(x) = - 2 5 -5 4. Describe the End Behavior as x -> ∞ y -> - ∞ as x -> - ∞ y -> ∞ 5. What is the y-intercept? (0,-2) 6. Write the domain in set notation and interval notation? (- ∞, ∞) {xIXER} 7. What is f(- 2) 4 8. If f(x) = 1/4 * x + 2 find f(- 4) 9. If f(x) = - x + 21 find f(- 3) -(-3)+21 -1+2 1/4 * (- 4) + 2 3+21 [1] [24] Consider the following sequence: d = 4 a_{1} = 4 alpha 4, 8, 12, 16 10. Write the recursive formula that represents the sequence. Rec. formula: a mu =a mu - 1 +d -a mu =a mu - 1 +4 11. Write the explicit formula that represents the sequence. Exp. formicke: a_{N} = a_{1} + d(N - 1) [a_{N} = 4 + 4(N - 1)] 12. Find the 20th term in the sequence. a_{20} = 4 + 4(20 - 1) [80] 4+76 5 X avings a 13. To qualify for a loan from a bank, the total in someone's checking and savings accounts together must be at least $3,400. Write an inequality that represents the situation. X + y >= 3, 400 Use the graph to answer questions 14-17. Use Desmos 14. Choose the inequality whose solution set is represented by the graph. @ x - 3y < 5 dotted < b. x - 3y <= 5 live *Remember c. x - 3y > 5 Solid d. x - 3y >= 5 live > 20 y 15. Is the point (2, -4) a solution to the inequality? How do you know? No. The point does not lie in the shaded region. 16. Is the point (2,-1) a solution to the inequality? How do you know? No. The post is located on the dotted live. The points on a dotted live are not included in the solution set. 17. List two points that are solutions to the inequality. List two points that are not solutions. Examples: (0, 0)(- 2, 5) Examples: (4, - 5)(- 2, 6) Not solutions 18. Which graph represents the system of inequalities? 3x + 6y > 18 2x - 2y >= 12 Use Desmos a) b) (c) d) Use the following scenario to answer questions #19-21. Jonathan has p pennies and n nickels that add up to more than 40 cents. He has no more than 20 coins altogether. The graph below represents his situation. 19. a) 1p + 0.05n < 0.4 p + n > 20 Use Desmas 20 10 (b) 0.01p + 0.05n > 0.4 p + n <= 20 c) 1p + 0.05n <= 0.4 p + n >= 20 d) 0.01p + 0.05n >= 0.4 p + n <= 20 * Plug in Xauty for P 28 # of nickels 02 4 6 8 10 20 # of pennies 20. If we know Jonathan has 8 pennies, what is the maximum number of nickels he could have? a) 8 nickels c) 12 nickels b) 10 nickels d) 14 nickels 21. Which coin combination is possible for Jonathan? a) 15 pennies and 5 nickels c)/10 pennies and 8 nickels b) 16 pennies and 2 nickels d) None of these are possible 22. Match the following graphs with the correct inequality statements. A. B. C. D. E. C/B y>-4 A x > - 4 Exs x <= - 4 Dy≥ y >= - 4 Perfect Square 23. Simplify [13] sqrt(169) *Perfect cubes. 1,8,27,64, 125, 216,343,512,729, 1,000 24. Simplify root(48, 3) [হাঁচ] 25. Simplify [3] root(- 27, 3) cube Perttest 26. Simplify root(75, 4) 253 [53] 27. Simplify 4sqrt(32) 4/1 -2 [162] 28. Simplify 3 * root(24, 3) 2 83 [ 6 * root(3, 3) ] 29. Simplify the following expression: 2 * root(72, 3) - 2 * root(9, 3) 89 419-219 [219] 30. Simplify the following expression: - 2sqrt(28) + sqrt(28) - sqrt(7) 9797 - 4sqrt(7) + 2sqrt(7) - sqrt(7) [-347] 31. What is the sum of 7sqrt(45) + 3sqrt(20) [275] 21sqrt(5) + 6sqrt(6) 32. Mulitply root(6, 3) * (root(7, 3) + root(16, 3)) 8-12 [ root(42, 3) + 2 * root(12, 3) root(42, 3) + root(96, 3) 33. Mulitply (5sqrt(10))(- 2sqrt(8)) 4. 10280 16.6 [-4006] 34. Find the area of the rectanige. A D Simplify your answer. B 2/3 C A=lW sqrt(27) 2.9 sqrt(27) * (2sqrt(3)) 2sqrt(81) A = [18]