Pre-AP Algebra 2 Unit 4 Practice and Review
- 1. Solve for x please: (((0.07x^{2/3})^{3})^{-4}) + 11 = 21 (express answer to 2 decimal places)
- 2. Determine the locator point of y = 5(x + 11)^{2} - 30 (express your answer as a data point, with parentheses)
- 3. Determine the locator point of y = 6x^{2} + 48x + 211 (express your answer as a data point, with parentheses)
- 4. Determine the locator point of y = 5^{x-3} + 10 (express your answer as a data point, with parentheses)
- 5. What is the locator point of an exponential function called?
A) Launch point B) Inflection point C) Asymptote D) Vertex
- 6. What is the locator point of a cubic called?
A) Inflection point B) Center C) Vertex D) Launch point
- 7. What is the locator point of a hyperbola called?
A) Center B) Launch point C) Vertex D) Inflection point
- 8. Determine the locator point of: y = 5.2/(x - 19) -3 (express your answer as a data point, with parentheses)
- 9. Determine the locator point of: y = 144/(2x + 21) - 1 (express your answer as a data point, with parentheses)
- 10. How many x-intercepts will y = -3x^{2} + 7x + 11 have?
A) 0 B) 1 C) 2 D) -4
- 11. How many x-intercepts will y = 25x^{2} - 1000x + 10000 have?
A) 1 B) 0 C) I'm c-------! D) 2
- 12. In a geometric sequence, t(7) = 6 and t(10) = 7986. Find t(14).
- 13. Determine the locator point of y = 3^{x + 11} - 1 (express your answer as a data point, with parentheses)
A) (-11, -1) B) (11, 0) C) (-11, 0) D) (11, -1)
- 14. You have $4321 in the bank where it has been earning 6.2% interest compounded quarterly. How much did you have exactly 7 years ago? (express answer to the nearest dollar)
A) $2836 B) $2809 C) $2761 D) $2790
- 15. Determine the locator point of y = -7x^{2} + 224x (express your answer as a data point, with parentheses)
- 16. Determine the x-intercept of: y = 6(x + 5)^{3} - 257.25 (express your answer as a data point, with parentheses)
- 17. Determine the x-intercept of: y = 4^{x-3} - 32 (express your answer as a data point, with parentheses)
- 18. What is the range of: y = 17^{2x + 13} + 5
A) y=5 B) -5 < y < 5 C) y>5 D) y E R E) y≥5
- 19. Rewrite in graphing form: y = (2x - 11)(2x + 15) (include y= in your answer, use the ^ for exponent)
- 20. Find the y-intercept of: y = 18.2(x + 4.3)^{2} - 11.4 (express your answer as a data point, with parentheses, include all decimals)
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Answer Key
1. 40.49 2. (-11, -30) 3. (-4, 115) 4. (3,11) 5.A 6.A 7.A 8. (19, -3) 9. (-10.5, -1) 10.C 11.A 12. 116923026 13.C 14.B 15. (16, 1792) 16. (-1.5, 0) 17. (5.5, 0) 18.C 19. y=4(x+1)^2 -169 20. (0, 325.118)