3 rd Quarterly Assessment Review

1. 3rdQuarterly Assessment Review

2. If the length of a rectangle is represented by and its width is represented by then its area could be expressed as which of the following polynomials? • a.) • b.) • c.) • d.)

3. Solve the quadratic. • a.) • b.) • c.) • d.)

4. A certain type of lily plant is growing in a pond in such a way that the number of plants is growing exponentially. The number of plants, N, in the pond at the t is modeled by the function , where a and b are constants and t is measured in months. The table shows two values of the function. • Which equation can be used to find thenumber of plants in the pond at time t? t N(t) 200 0 800 1 • a.) • b.) • c.) • d.)

5. A rock was thrown upward into the air. The height, in feet, of the fall above the ground t seconds after being thrown can be determined by the expression: • What is the meaning of the 7 in the expression?

6. Which equation(s) correctly model(s) the function shown on the graph below? Select all that apply.

7. Allie was given $2000 when she was 13 years old. Her parents invested it at a 1.5% interest rate compounded annually. No deposits or withdrawals were made. Write an expression that can be used to determine how much money Allie has in her account when she turns 21?

8. How does the graph of compare to the graph of ? • a.) • b.) • c.) • d.) The graph of is narrower than , and its vertex is shifted right 3 units and up 5 units. The graph of is narrower than , and its vertex is shifted left 3 units and down 5 units. The graph of is wider than , and its vertex is shifted right 3 units and down 5 units. The graph of is wider than , and its vertex is shifted left 3 units and down 5 units.

9. Some gyms charge a fee on memberships that are left inactive for an extended period of time. The equation represents the value, y, of one member that was left inactive for a period of x years. What does 0.95 represent? • a.) • b.) • c.) • d.) The percent of money in the account initially. The account balance is decreasing by $0.95 per year. The account balance is decreasing by 95% per year. The account balance is decreasing by 5% per year.

10. If , what is the transformation that will result in a shift left 7 and down 3 units?

11. A shot-put is thrown into the air. The graph shows the height, y, of the shot-put from the ground after x seconds. At what domain value, does the shot-put reach it’s maximum height? At what height is the shot-put thrown from?

12. Describe the transformations applied to the parent function, , to produce the graph of .

13. What is the axis of symmetry for the • a.) • b.) • c.) • d.)

14. A polynomial function contains the factors and . Which graph(s) below could represent the graph of this function? • a.) 1 only c.) II only • b.)I, II, and III d.) I and III

15. After examining the table of values below, which statement is a false statement? • a.) The average rate of change is 1 • b.) The domain is • c.) The range is • d.) The relation is a function

16. Mr. Young asked his class to find the zeros of the equation • by completing the square. Allie’s work is shown below. Line 1 Line 2 Line 3 Line 4 Line 5 Between which two lines did Allie make an error? • a.) Between Line 1 and Line 2 • b.) Between Line 2 and Line 3 • c.) Between Line 3 and Line 4 • d.) Between Line 4 and Line 5

17. The solutions of the equation are

18. Function is defined as: Find

19. A homeowner has a small outdoor seating area that is 6 feet wide and 10 feet long. The homeowners want to expand the size of the patio. They plan to increase the length and width by the same amount, x. Which of the following equations correctly models the area of the new space? 10 ft • a.) • b.) • c.) • d.) Out 6 ft Outdoor Seating Area

20. If the length of a rectangle is represented by and it’s width is represented by then its area could be expressed by what polynomial?

21. What are the values of that will satisfy the following quadratic equation?

22. What is the simplest radical form of ?