1. CCPGS Geometry EOCT REVIEW UNIT 4 and 5 – Operations and Quadratics

2. 1. Rewrite.

3. 2. Rewrite.

4. 3. Solve for d using rational exponents.

5. 4. Rewrite.

6. 5. Rewrite in an equivalent form with no radicals in the denominator.

7. 6. Write in an equivalent form without a square root.

8. 7. Look at the expression below. Is the value of the expression rational or irrational?

9. 8. Look at the expression below. Is the value of the expression rational or irrational?

10. 9. What is the perimeter of the rectangle shown?

11. 10. Rewrite the expression.

12. 11. What is the area of the rectangle shown?

13. 12. Subtract.

14. 13. Rewrite.

15. 14. Rewrite in the form a + bi.

16. 15. Multiply.

17. 16. Describe the type(s) of solutions.

18. 17. Describe the type(s) of solutions.

19. 18. Solve.

20. 19. The function represents the height, in inches, of a swing after t seconds, for 0≤t≤3. Solve the function for h(t) = 0. Will the swing ever hit the ground?

21. 20. Solve

22. 21. Factor.

23. 22. Factor.

24. 23.Carrie has a rectangular butterfly garden that is 12 feet long by 8 feet wide. She wants a sidewalk along two sides of the garden, as shown by the shaded area of this diagram. Carrie has enough concrete for the sidewalk to cover 44 square feet. What is the maximum width she can make her sidewalk?

25. 24. Write the equation in vertex form. State the vertex and axis of symmetry.

26. 25. The function represents the height, in feet, of a stream of water being squirted out of a fountain after t seconds. What is the maximum height of the water?

27. 26. Find the zeroes.

28. 27. Solve for h.

29. 28. Describe the transformations.

30. 29. Vertex: Axis of Symmetry: Interval of Decrease: Interval of Increase: y-intercept: Zeros: Domain: Range:

31. 30. Philip is standing on a rock ledge that juts out over a lake. He tosses a rock straight up with a velocity of 48 feet per second. The rock leaves his hand at a point 64 feet above the surface of the lake. The rock travels upward and then falls into the lack. What is the maximum height the rock reaches above the surface of the lake?

32. 31. After how many seconds does the rock hit the surface of the lake?

33. 32. What does the y-intercept represent in this context? What does the x-intercept represent?

34. 33. For approximately how many seconds it he rock at least 80 feet above the surface of the lake?

35. 34. Solve h(t) to find where it hits the ground.

36. 35. Find the value of the discriminant and determine the types of solutions.