Algebra 1 Final Exam Review Note: Students should turn off “Stat Plot”

Final Exam Review Day #1 Warm-up Factor 1.) 8𝑥−24 2.) 𝑥 2 −20𝑥+36 3.) 4 𝑥 2 +27𝑥−7 4.) 289 𝑥 2 −49 𝑦 2

Final Exam Review Answers Page 1 1. A 2. D 3. A 4. A 5. A 6. E Page 2 7. E 8. A 9. C 10. A 11. C 12. B Page 3 13. C 14. C 15. B 16. C 17. D 18. B

Final Exam Review Day #2 Warm-up Consider the equation 𝒚=− 𝒙 𝟐 −𝒙+𝟔 1. Determine whether the function has a maximum or a minimum value. 2. State the maximum or minimum value (a.k.a. vertex).   3. Find the equation of the axis of symmetry. 4. What are the domain and range of the function? 5. What are the roots of the equation?

Final Exam Review Answers Page 4 19. B 20. D 21. D 22. B 23. A 24. D Page 5 25. E 26. C 27. B 28. D 29. D 30. A 31. E 32. B Page 6 33. B 34. A 35. A 36. A 37. A. Domain: ℝ, 𝑥≠−2 Range: ℝ, 𝑦≠−3 B. Domain: 𝑥≥3 Range: 𝑦≥4 C. Domain: ℝ Range: 𝑦≥3 38. 𝑛=1

Final Exam Review Day #3 Warm-up 1. Solve 𝑥 2 +12𝑥+7=0 by completing the square. 2. Given the equation 𝑥 2 +6𝑥+1=𝑦, find an equivalent equation in vertex form. 3. Determine the number of real solutions of 3𝑥 2 −12𝑥+12=0 4. Solve 2 𝑥 2 −7𝑥−15 using the Quadratic Formula.

Extra Final Exam Practice 1. Find (6x2 – 4x + 2) – (3x2 + 4x – 4)

Extra Final Exam Practice 2. Find (2x – 5)2

Extra Final Exam Practice 3. Multiply (-3x + 4)(2x2 – 4x + 5)

Extra Final Exam Practice 4. Factor 169x2 – 64

Extra Final Exam Practice 5. Factor 5x2 + 13x +6

Extra Final Exam Practice 6. Each side of a square x units long is increased by 4 units. Determine an expression that represents the area of the new square in square units? (Write it out as two binomials and use FOIL or box-method).

Extra Final Exam Practice 7. Solve (3x + 4)(2x – 5) = 0

Extra Final Exam Practice 8. Solve x2 + 7x = 8.

Extra Final Exam Practice 9. The length of a rectangle is 3 times the width. The area is 27 square centimeters. What is the length?

Extra Final Exam Practice 10. Determine the maximum or minimum, domain, and range of the equation y = -x2 + 5x – 7

Extra Final Exam Practice 11. Determine the axis of symmetry and vertex of the equation y = x2 – 10x + 5

Extra Final Exam Practice 12. Describe how the parent function f(x) = 𝑥 2 translated to create the graph of g(x) = (𝑥−4) 2 + 8.

Extra Final Exam Practice 13. Describe how the graph of the function g(x) = –3 𝑥 2 +4 is related to the graph of the function f(x) = 3 𝑥 2 + 2.

Extra Final Exam Practice 14. Solve x2 – 6x + 8 = 0 by completing the square.

Extra Final Exam Practice 15. Find the value of c that will make 16x2 + 24x + c a perfect square trinomial.

Extra Final Exam Practice 16. Convert y = x2 – 4x +7 to vertex form.

Extra Final Exam Practice 17. Simplify 6 5 ∙4 10

Extra Final Exam Practice 18. Simplify ( 14 + 6 )( 12 − 3 )

Extra Final Exam Practice 19. Simplify 12 𝑥

Extra Final Exam Practice 20. Simplify 56 𝑥 5 𝑦 4

Extra Final Exam Practice 21. Simplify 4 27 +3 9 −2 12

Extra Final Exam Practice 22. Determine the number of real solutions of 𝑥 2 + 4x – 6 = 0.

Extra Final Exam Practice 23. Solve 3x2 – 4x – 8 = 0 using the quadratic formula.

Extra Final Exam Practice 24. How does the translated graph of y = 𝑥 + 6 compare to the parent graph of y = 𝑥 ?

Extra Final Exam Practice 25. Identify the domain and range of the function 𝑦= 𝑥+5 −9

Extra Final Exam Practice 26. Determine the horizontal and vertical asymptote of y = 2 𝑥−4 +5

Extra Final Exam Practice 27. Solve 𝑥+1 −4=6

Extra Final Exam Practice 28. Solve 3 𝑥+2 = 5 𝑥+8

Extra Final Exam Practice 29. Solve 1 𝑛−8 - 7 𝑛−8 = 1